Basic Information

Faculty

• 総合人間学部

Professional Memberships

• 日本数学会
• Mathematical Society of Japan

Academic Degree

• 修士（人間・環境学）(京都大学)
• 博士（人間・環境学）(京都大学)

Academic Resume (Graduate Schools)

• 京都大学, 大学院人間・環境学研究科修士課程人間・環境学専攻, 修了
• 京都大学, 大学院人間・環境学研究科博士後期課程人間・環境学専攻, 修了

Academic Resume (Undergraduate School/Majors)

• 京都大学, 理学部, 卒業

High School

• High School

  鳥取県立鳥取西高等学校

Research History

• From Apr. 2017, To Present

  Kyoto University, Graduate School of Human and Environmental Studies, Department of Human Coexistence, 教授
• From Apr. 2007, To Mar. 2017

  Osaka University Graduate School of Science, Department of Mathematics, Graduate School of Science and Engineering, Mathematics, Associate Professor
• From Apr. 2005, To Mar. 2007

  - 大阪大学大学院理学研究科数学専攻, 助教授
• From 2007

  - Graduate School of Science, Osaka University, Associate Professor
• From Apr. 1999, To Mar. 2005

  Tokyo Institute of Technology, Graduate School of Science and Engineering, Department of Mathematics, 助手

Profile

• Profile

  1999年3月京都大学大学院人間・環境学研究学にて博士（人間・環境学）取得
  
  1999年4月--2005年3月 東京工業大学大学院理工学研究科数学専攻 助手
  
  2005年4月--2007年3月 大阪大学大学院理学研究科数学専攻 助教授
  
  2007年4月--2017年3月 大阪大学大学院理学研究科数学専攻 准教授
  
  2017年4月-- 京都大学大学院人間・環境学研究科共生人間学専攻数理科学講座 教授
  
  現在に至る

Language of Instruction

• English

ID,URL

• J-Global ID

  200901041990239874

• Researcher number

  40313324

• External link

  http://www.math.h.kyoto-u.ac.jp/~sumi/index-j.html

Website(s) (URL(s))

• http://www.math.h.kyoto-u.ac.jp/~sumi/index-j.html
• http://www.math.h.kyoto-u.ac.jp/~sumi/index.html

researchmap URL

• https://researchmap.jp/read0059492

Research

Research Topics, Overview of the research

• Research Topics

  Complex dynamical systems, Random complex dynamical systems, Fractal geometry, Ergodic theory, Complex analysis

• Overview of the research

  I study random holomorphic dynamical systems, the dynamics of semigroups of holomorphic maps, iterated function systems and the fractal geometry. Regarding random holomorphic dynamics, I found many randomness-induced phenomena (new phenomena in random dynamical systems which cannot hold in deterministic dynamical systems) and I am studying them systematically.

Research Interests

• フラクタル
• 複素力学系
• Fractal geometry
• Complex dynamical systems

Research Areas

• Natural sciences, Applied mathematics and statistics
• Natural sciences, Basic mathematics

Papers

• The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups

  Jason Atnip; Hiroki Sumi; Mariusz Urbański

  Memoirs of the American Mathematical Society, 27 Feb. 2025, Peer-reviewed

  
• Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions

  Kanji Inui; Hiroki Sumi

  Journal of Difference Equations and Applications, 07 Aug. 2024

  
• Erratum: Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy (2022 Nonlinearity 35 1857)

  Hiroki Sumi; Takayuki Watanabe

  Nonlinearity, 31 Mar. 2023

  
• Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy

  Hiroki Sumi; Takayuki Watanabe

  Nonlinearity, 07 Apr. 2022

  
• Negativity of Lyapunov Exponents and Convergence of Generic Random Polynomial Dynamical Systems and Random Relaxed Newton’s Methods

  Hiroki Sumi

  Communications in Mathematical Physics, Jun. 2021, Peer-reviewed

  
• Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line

  Johannes Jaerisch; Hiroki Sumi

  Journal of Mathematical Analysis and Applications, Nov. 2020, Peer-reviewed

  
• Spectral Gap Property for Random Dynamics on the Real Line and Multifractal Analysis of Generalised Takagi Functions

  Johannes Jaerisch; Hiroki Sumi

  Communications in Mathematical Physics, Jul. 2020, Peer-reviewed

  
• Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions

  Kanji Inui; Hiroki Sumi

  Journal of Difference Equations and Applications, 02 Jan. 2020, Peer-reviewed

  
• The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions

  Kanji Inui; Hikaru Okada; Hiroki Sumi

  Discrete & Continuous Dynamical Systems - A, 2020, Peer-reviewed

  
• Hereditarily non uniformly perfect sets

  SUMI Hiroki

  Discrete and Continuous Dynamical Systems Series S, Dec. 2019, Peer-reviewed

  
• Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity

  Hiroki Sumi; Takayuki Watanabe

  Nonlinearity, 01 Oct. 2019, Peer-reviewed

  
• DYNAMICS OF INFINITELY GENERATED NICELY EXPANDING RATIONAL SEMIGROUPS AND THE INDUCING METHOD

  Johannes Jaerisch; Hiroki Sumi

  TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Sep. 2017, Peer-reviewed

  
• Pointwise Holder exponents of the complex analogues of the Takagi function in random complex dynamics

  Johannes Jaerisch; Hiroki Sumi

  ADVANCES IN MATHEMATICS, Jun. 2017, Peer-reviewed

  
• BACKWARD ITERATION ALGORITHMS FOR JULIA SETS OF MOBIUS SEMIGROUPS

  Rich Stankewitz; Hiroki Sumi

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Nov. 2016, Peer-reviewed

  
• The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics

  Hiroki Sumi

  ADVANCES IN MATHEMATICS, Feb. 2016, Peer-reviewed

  
• Multifractal formalism for expanding rational semigroups and random complex dynamical systems

  Johannes Jaerisch; Hiroki Sumi

  NONLINEARITY, Aug. 2015, Peer-reviewed

  
• RANDOM BACKWARD ITERATION ALGORITHM FOR JULIA SETS OF RATIONAL SEMIGROUPS

  Rich Stankewitz; Hiroki Sumi

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, May 2015, Peer-reviewed

  
• Random complex dynamics and devil's coliseums

  Hiroki Sumi

  NONLINEARITY, Apr. 2015, Peer-reviewed

  
• Cooperation principle, stability and bifurcation in random complex dynamics

  Hiroki Sumi

  ADVANCES IN MATHEMATICS, Oct. 2013, Peer-reviewed

  
• Dynamics of postcritically bounded polynomial semigroups II: fiberwise dynamics and the Julia sets

  Hiroki Sumi

  JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Aug. 2013, Peer-reviewed

  
• Transversality family of expanding rational semigroups

  Hiroki Sumi; Mariusz Urbański

  Advances in Mathematics, 05 Feb. 2013, Peer-reviewed

  
• BOWEN PARAMETER AND HAUSDORFF DIMENSION FOR EXPANDING RATIONAL SEMIGROUPS

  Hiroki Sumi; Mariusz Urbanski

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Jul. 2012, Peer-reviewed

  
• DYNAMICAL PROPERTIES AND STRUCTURE OF JULIA SETS OF POSTCRITICALLY BOUNDED POLYNOMIAL SEMIGROUPS

  Rich Stankewitz; Hiroki Sumi

  TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Oct. 2011, Peer-reviewed

  
• MEASURES AND DIMENSIONS OF JULIA SETS OF SEMI-HYPERBOLIC RATIONAL SEMIGROUPS

  Hiroki Sumi; Mariusz Urbanski

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, May 2011, Peer-reviewed

  
• DYNAMICS OF POSTCRITICALLY BOUNDED POLYNOMIAL SEMIGROUPS I: CONNECTED COMPONENTS OF THE JULIA SETS

  Hiroki Sumi

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Mar. 2011, Peer-reviewed

  
• Random complex dynamics and semigroups of holomorphic maps

  Hiroki Sumi

  PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Jan. 2011, Peer-reviewed

  
• Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles

  Hiroki Sumi

  ERGODIC THEORY AND DYNAMICAL SYSTEMS, Dec. 2010, Peer-reviewed

  
• Real analyticity of Hausdorff dimension for expanding rational semigroups

  Hiroki Sumi; Mariusz Urbanski

  ERGODIC THEORY AND DYNAMICAL SYSTEMS, Apr. 2010, Peer-reviewed

  
• Rational semigroups, random complex dynamics and singular functions on the complex plane

  Hiroki Sumi

  Selected Papers on Analysis and Differential Equations, Amer. Math. Soc. Transl., 2010, Peer-reviewed

  
• Interaction cohomology of forward or backward self-similar systems

  Hiroki Sumi

  ADVANCES IN MATHEMATICS, Oct. 2009, Peer-reviewed

  
• Lambda-topology versus pointwise topology

  Mario Roy; Hiroki Sumi; Mariusz Urbanski

  ERGODIC THEORY AND DYNAMICAL SYSTEMS, Apr. 2009, Peer-reviewed

  
• The equilibrium states for semigroups of rational maps

  Hiroki Sumi; Mariusz Urbanski

  MONATSHEFTE FUR MATHEMATIK, Apr. 2009, Peer-reviewed

  
• 有理半群, ランダムな複素力学系と複素平面上の特異関数

  角大輝

  数学, 2009, Peer-reviewed

  
• Analytic families of holomorphic iterated function systems

  Mario Roy; Hiroki Sumi; Mariusz Urbanski

  NONLINEARITY, Oct. 2008, Peer-reviewed

  
• Semi-hyperbolic fibered rational maps and rational semigroups (vol 26, pg 893, 2006)

  Hiroki Sumi

  ERGODIC THEORY AND DYNAMICAL SYSTEMS, Jun. 2008, Peer-reviewed

  
• Structure of Julia sets of polynomial semigroups with bounded finite postcritical set

  Rich Stankewitz; Hiroki Sumi

  APPLIED MATHEMATICS AND COMPUTATION, Apr. 2007, Peer-reviewed

  
• Random dynamics of polynomials and devil's-staircase-like functions in the complex plane

  Hiroki Sumi

  APPLIED MATHEMATICS AND COMPUTATION, Apr. 2007, Peer-reviewed

  
• Semi-hyperbolic fibered rational maps and rational semigroups

  H Sumi

  ERGODIC THEORY AND DYNAMICAL SYSTEMS, Jun. 2006, Peer-reviewed

  
• Dimensions of julia sets of expanding rational semigroups

  Hiroki Sumi

  Kodai Mathematical Journal, 2005, Peer-reviewed

  
• Erratum: Semihyperbolic transcendental semigroups (Journal of Mathematics of Kyoto University (2000) 40:2 (205-216))

  Hartje Kriete; Hiroki Sumi

  Kyoto Journal of Mathematics, Jan. 2005, Peer-reviewed

  
• Some counterexamples in dynamics of rational semigroups

  R Stankewitz; T Sugawa; H Sumi

  ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2004, Peer-reviewed

  
• Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products

  H Sumi

  ERGODIC THEORY AND DYNAMICAL SYSTEMS, Apr. 2001, Peer-reviewed

  
• Skew product maps related to finitely generated rational semigroups

  H Sumi

  NONLINEARITY, Jul. 2000, Peer-reviewed

  
• Semihyperbolic transcendental semigroups

  Hartje Kriete; Hiroki Sumi

  Kyoto Journal of Mathematics, Jan. 2000, Peer-reviewed

  
• On hausdorff dimension of julia sets of hyperbolic rational semigroups

  Hiroki Sumi

  Kodai Mathematical Journal, 1998, Peer-reviewed

  
• On dynamics of hyperbolic rational semigroups

  Hiroki Sumi

  Kyoto Journal of Mathematics, Jan. 1997, Peer-reviewed

  

Misc.

• フラクタル次元

  角 大輝

  数理科学２０１８年２月号特集「幾何学と次元」, Feb. 2018, Invited

  
• HOLDER REGULARITY OF LIMIT STATE FUNCTIONS IN RANDOM COMPLEX DYNAMICAL SYSTEMS (The Theory of Random Dynamical Systems and its Applications)

  Jaerisch Johannes; Sumi Hiroki

  RIMS Kokyuroku, Apr. 2015

  Access this misc :

  
• ランダム複素力学系におけるランダム性誘起現象 (ランダム力学系理論とその応用)

  角 大輝

  数理解析研究所講究録, Apr. 2015

  Access this misc :

  
• Stability, Bifurcation and Classification of Minimal Sets in Random Complex Dynamics (Integrated Research on Complex Dynamics)

  Sumi Hiroki

  RIMS Kokyuroku, Sep. 2012

  Access this misc :

  
• Cooperation principle, stability and bifurcation in random complex dynamics

  2011

  
• Cooperation principle and stability in random complex dynamics

  2011

  
• Cooperation principle, stability and bifurcation in random complex dynamics

  2011

  
• Cooperation principle and stability in random complex dynamics

  2011

  
• Cooperation principle, stability and bifurcation in random complex dynamics

  2010

  
• Cooperation principle and disappearance of chaos in random complex dynamics

  2010

  
• Cooperation principle and density of stable systems in random complex dynamics

  2010

  
• Cooperation principle in random complex dynamics and singular functions on the complex plane

  2010

  
• Cooperation principle, stability and bifurcation in random complex dynamics

  2010

  
• Cooperation principle and disappearance of chaos in random complex dynamics

  2010

  
• Cooperation principle and density of stable systems in random complex dynamics

  2010

  
• Cooperation principle in random complex dynamics and singular functions on the complex plane

  2010

  
• ランダムな複素力学系における協調原理と複素平面上の特異関数

  2009

  
• Cooperation principle in random complex dynamics and singular functions on the complex plane

  2009

  
• Random complex dynamics and singular functions on the complex plane

  2009

  
• Rational semigroups, random complex dynamics and singular functions on the complex plane

  Sugaku, 2009

  
• Cooperation principle in random complex dynamics and singular functions on the complex plane

  2009

  
• Random complex dynamics and singular functions on the complex plane

  2009

  
• Random complex dynamics and singular functions on the complex plane

  2008

  
• Random complex dynamics and singular functions on the complex plane

  2008

  
• Random Julia sets that are Jordan curves but not quasicircles

  2007

  
• Random dynamics of polynomials and singular functions in the complex plane

  2007

  
• Random Julia sets that are Jordan curves but not quasicircles

  2007

  
• Random dynamics of polynomials and singular functions in the complex plane

  2007

  
• ランダムな多項式力学系と複素平面上の特異関数

  2006

  
• The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity

  2006

  
• Dynamics of polynomial semigroups, interaction cohomology and singular functions in the complex plane

  2006

  
• Rando dynamics of polynomials and singular functions in the complex plane

  2006

  
• 有理半群、ランダムな複素力学系と複素平面上の 特異関数

  2006

  
• Random Julia sets that are Jordan curves but not quasicircles

  2006

  
• Random dynamics of polynomials and singular functions in the complex plane

  2006

  
• The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity

  2006

  
• Hiroki Sumi

  2006

  
• Rando dynamics of polynomials and singular functions in the complex plane

  2006

  
• Rational semigroups, random complex dynamics and singular functions in the complex plane

  2006

  
• Random Julia sets that are Jordan curves but not quasicircles

  2006

  
• Random dynamics of polynomials and devil's-staircase-like functions in the complex plane

  2005

  
• Random dynamics of polynomials and devil's-staircase-like functions in the complex plane

  2005

  
• Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products (vol 21, pg 563, 2001)

  H Sumi

  ERGODIC THEORY AND DYNAMICAL SYSTEMS, Aug. 2001

  

Presentations

• Random dynamical Systems of generalized complex Henon maps

  Hiroki Sumi

  RIMS共同研究「力学系の理論と応用」, 10 Jun. 2025

  
• Mean Stability and Bifurcation in Random Dynamical Systems of Polynomial Automorphisms on C2

  Hiroki Sumi

  RIMS共同研究「複素力学系とその周辺分野の最近の進展」, 02 Dec. 2024, Invited

  
• Mean Stability and Bifurcation in Random Dynamical Systems of Polynomial Automorphisms on C2

  Hiroki Sumi

  」Fractal Geometry and Stochastics 7, 24 Sep. 2024, Invited

  
• 「Mean Stability and Bifurcation in Random Dynamical Systems of Polynomial Automorphisms on C2

  Hiroki Sumi

  RIMS 共同研究「ランダム・非自 励・多価写像力学系理論の研究」, 27 Aug. 2024

  
• Two-dimensional random relaxed Newton's methods

  角 大輝

  研究集会「ランダム力学系とエルゴード理論」, 16 Mar. 2024

  
• Random Dynamical Systems of Polynomial Automorphisms on C^{2}

  Hiroki Sumi

  RIMS総合研究セミナー 「Mathematics of Random Systems: Summer School 2023」, 12 Sep. 2023, Invited

  
• Complex two dimensional random relaxed Newton's methods

  Hiroki Sumi

  ICIAM 2023, 21 Aug. 2023

  
• Random Dynamical Systems of Polynomial Automorphisms on C^{2}

  Hiroki Sumi

  The 10th Visegrad Conference on Dynamical Systems, 29 Jun. 2023, Invited

  
• Random Dynamical Systems of Polynomial Automorphisms on C^{2}

  Hiroki Sumi

  RIMS共同研究「Around the Mandelbrot set」, 29 May 2023, Invited

  
• Random Dynamical Systems of Polynomial Automorphisms on

  Hiroki Sumi

  RIMS 共同研究「複素力学系と関連分野」, 16 Dec. 2022, Invited

  
• Random relaxed Newton's methods

  Hiroki Sumi

  RIMS 共同研究「ラン ダム力学系・非自励力学系研究の展望：理論と応用」, 28 Sep. 2022

  
• Random Dynamical Systems of Regular Polynomial Maps on C^{2}

  Hiroki Sumi

  Conference on Random Dynamical Systems, 24 Jun. 2022, Invited

  
• Random Dynamical Systems of Regular Polynomial Maps on C^{2}

  Hiroki Sumi

  Dynamical systems and systems of equations, 23 Jun. 2022, Invited

  
• Random Dynamical Systems of Regular Polynomial Maps on

  Hiroki Sumi

  RIMS 共同研究「複素力学系の諸相」, 15 Dec. 2021, Invited

  
• Random Dynamical Systems of Regular Polynomial Maps on C^{2}

  Hiroki Sumi

  IMS 共同研究「ランダム力学系および多価写像力学系理論の総合的研究」, 01 Sep. 2021

  
• Random Dynamical Systems of Regular Polynomial Maps on C^{2}

  Hiroki Sumi

  Dynamics of (Semi-)Group Actions, 25 Jun. 2021, Invited

  
• Non-uniformly perfect Julia sets of non-autonomous dynamics of unbounded sequences of polynomials

  Hiroki Sumi

  数理解析研究所共同研究（公開型）「複素力学系理論の総合的研究」, 09 Dec. 2020, Invited

  
• ランダム複素力学系における様々なランダム性誘起現象とそのメカニズム

  角大輝

  2020年度日本数学会秋季総合分科会 (日本数学会解析学賞受賞特別講演), 22 Sep. 2020, Invited

  
• Non-uniformly perfect Julia sets of non-autonomous dynamics of unbounded sequences of polynomials

  角大輝

  2019年度冬の力学系研究集会 (日本大学軽井沢研修所）, 11 Jan. 2020

  
• Random holomorphic dynamical systems associated with analytic families of holomorphic maps

  Hiroki Sumi

  数理解析研究所共同研究（公開型）「複素力学系の分岐と安定性の研究」, 10 Dec. 2019, Invited

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  角大輝

  研究集会「エルゴード理論とその周辺」(新潟県長岡市まちなかキャンパス), 21 Nov. 2019

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  Hiroki Sumi

  The 2019 Fall Program of Low-Dimensional Dynamics (Shanghai Center for Mathematical Sciences, China), 23 Sep. 2019, Invited

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps」 第９回岐阜数理科学研究会(2019年9月9日--11日）、飛騨高山まちの博物館研修室、岐阜県高山市、

  角大輝

  第９回岐阜数理科学研究会, 10 Sep. 2019, Invited

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  Hiroki Sumi

  数理解析研究所共同研究（公開型）「ランダム力学系理論とフラクタル幾何学の研究」, 30 Aug. 2019

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  Hiroki Sumi

  Thermodynamic Formalism – Applications to Geometry, Number Theory, and Stochastics (Institut Mittag-Leffler, Sweden), 11 Jul. 2019, Invited

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  Hiroki Sumi

  Workshop on Random Dynamical Systems and Anomalous Dynamics (Imperial College London), 22 Mar. 2019, Invited

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  角大輝

  ２０１８年度冬の力学系研究集会、 日本大学軽井沢研修所, 14 Jan. 2019

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  Hiroki Sumi

  複素力学系研究とその発展 (数理解析研究所共同研究公開型）, 13 Dec. 2018, Invited

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  角大輝

  研究集会「エルゴード理論とその周辺」（大阪大学）, 23 Nov. 2018

  
• Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps

  SUMI Hiroki

  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 09 Jul. 2018

  
• ランダム複素力学系におけるランダム性誘起現象とその応用

  角 大輝

  日本数学会２０１８年度年会函数論分科会, 18 Mar. 2018, Invited

  
• Weak Mean Stability in Random Holomorphic Dynamical Systems

  Hiroki Sumi

  CIMPA- IMH-VAST research school on "Recent developments in stochastic dynamics and stochastic analysis", 16 Mar. 2018, Invited

  
• Weak mean stability in random holomorphic dynamical sys- tems

  Hiroki Sumi

  ２０１７年度冬の力学系研究集会, 08 Jan. 2018

  
• Weak Mean Stability in Random Holomorphic Dynamical Systems

  Hiroki Sumi

  RIMS 共同研究（公開型）「複素力学系の研究」, 11 Dec. 2017

  
• Weak Mean Stability in Random Holomorphic Dynamical Systems

  Hiroki Sumi

  ``Random Dynamical Systems", Lorentz Center workshop, 05 Dec. 2017, Invited

  
• Weak mean stability in random holomorphic dynamical systems

  Hiroki Sumi

  研究集会「エルゴード理論とその周辺」, 23 Nov. 2017

  
• Multifractal analysis of the real and complex random dynamical systems

  Hiroki Sumi

  」RIMS 共同研究（グループ型）「エルゴード理論の最近の発展」, 12 Oct. 2017, Invited

  
• Mean stability and spectral gap property in random dynamical systems

  Hiroki Sumi

  RIMS 共同研究（グループ型）「エルゴード理論の最近の発展」, 12 Oct. 2017, Invited

  
• Weak mean stability in random holomorphic dynamical systems

  Hiroki Sumi

  RIMS 共同研究（公開型）「ランダム力学系理論の総合的研究」, 26 Sep. 2017

  
• Finding roots of any polynomial by random relaxed Newton's methods

  Hiroki Sumi

  2017 AMS sectional meeting, Special Session on dynamics, Geometry and Number Theory, 10 Sep. 2017, Invited

  
• Finding roots of any polynomials by random relaxed Newton's methods

  Hiroki Sumi

  Kyoto Dynamical Systems Seminar, 26 May 2017, Invited

  
• Stability and bifurcation in random complex dynamics

  Hiroki Sumi

  Kyoto Dynamics Days: Random Dynamical Systems Theory and Its Applications, 28 Apr. 2017, Invited

  
• Finding roots of any polynomials by random relaxed Newton's methods

  Hiroki Sumi

  Kyoto Dynamics Days: Random Dynamical Systems Theory and Its Applications, 27 Apr. 2017, Invited

  
• Finding roots of any polynomials by random relaxed Newton's methods

  SUMI Hiroki

  2017 Joint Mathematics Meeting, AMS Special Session on Ergodic Theory and Dynamical Systems, 17 Jan. 2017, Invited

  
• Finding roots of any polynomials by random relaxed Newton's methods

  SUMI Hiroki

  RIMS研究集会「複素力学系およびそのモヂュライ等の関連分野の研究」, 12 Dec. 2016, Invited

  
• Finding roots of any polynomials by random relaxed Newton's methods

  SUMI Hiroki

  エルゴード理論とその周辺, 26 Nov. 2016

  
• ランダム緩ニュートン法により任意の複素多項式の根を見つける

  SUMI Hiroki

  東工大複素解析セミナー, 02 Nov. 2016, Invited

  
• Finding roots of any polynomials by random relaxed Newton's methods

  SUMI Hiroki

  Conference of Complex Analysis in China 2016, 21 Oct. 2016, Invited

  
• Finding roots of any polynomials by random relaxed Newton's methods

  SUMI Hiroki

  日本数学会, 15 Sep. 2016

  
• Hausdorff Dimension of the Julia sets of Postcritically Bounded Polynomial Semigroups and the Transversality Condition

  SUMI Hiroki

  AIMS 2016 meeting, Orlando, 04 Jul. 2016, Invited

  
• 有限生成有理半群のJulia集合を描くためのランダム後方軌道法

  SUMI Hiroki

  研究集会「力学系と計算」, 25 Mar. 2016, Invited

  
• Randomness-induced phenomena and negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials

  SUMI Hiroki

  Workshop on Theory and Applications of Random and Non-autonomous Dynamical Systems, 22 Mar. 2016, Invited

  
• Hausdorff dimension of the Julia sets of postcritically bounded polynomial semigroups and transversality condition

  SUMI Hiroki

  日本数学会, 16 Mar. 2016

  
• Hausdorff dimension of the Julia sets of postcritically bounded polynomial semigroups and transversality condition

  SUMI Hiroki

  2015年度冬の力学系研究集会, 09 Jan. 2016

  
• Hausdorff dimension of the Julia sets of postcritically bounded polynomial semigroups and transversality condition

  SUMI Hiroki

  数理解析研究所研究集会「複素力学系の深化」, 07 Dec. 2015, Invited

  
• Hausdorff dimension of the Julia sets of postcritically bounded polynomial semigroups and transversality condition

  SUMI Hiroki

  エルゴード理論とその周辺, 27 Nov. 2015

  
• Multifractal Analysis for the Complex Analogues of the Devil's staircase and the Takagi function in Random Complex Dynamics

  SUMI Hiroki

  Measurable and Topological Dynamical Systems, 17 Oct. 2015, Invited

  
• Complex Analogues of the Takagi function in Random Complex Dynamics

  SUMI Hiroki

  AMS Sectional Meeting Special Session on Fractal Geometry and Dynamical Systems, 17 Oct. 2015, Invited

  
• Randomness-induced phenomena and negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials

  SUMI Hiroki

  第５８回函数論シンポジウム, 10 Oct. 2015, Invited

  
• ランダム複素力学系に現れる複素高木関数の各点ヘルダー指数のマルチフラクタル解析

  SUMI Hiroki

  数理解析研究所研究集会「ランダム力学系理論とその応用」, 28 Sep. 2015

  
• Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials

  SUMI Hiroki

  49th Spring Topology and Dynamics Conference, 14 May 2015, Invited

  
• ランダム複素多項式力学系におけるランダム性誘起現象とリアプノフ指数の負値性

  SUMI Hiroki

  日本数学会, 23 Mar. 2015

  
• Multifractal analysis for complex analogues of the devil's staircase and the Takagi function in random complex dynamics

  SUMI Hiroki

  研究集会「Workshop on $\beta $-transformation and related topics」, 10 Mar. 2015, Invited

  
• Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials

  SUMI Hiroki

  AMS-MAA Joint mathematics meeting, 11 Jan. 2015, Invited

  
• Complex analogues of the Takagi function in random complex dynamics

  SUMI Hiroki

  数理解析研究所研究集会「複素力学系の総合的研究」, 08 Dec. 2014, Invited

  
• Complex analogues of the Takagi function in random complex dynamics

  SUMI Hiroki

  エルゴード理論とその周辺, 03 Dec. 2014

  
• Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials

  SUMI Hiroki

  Boston University/Keio University Workshop 2014 Dynamical Systems, 19 Sep. 2014, Invited

  
• Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials

  SUMI Hiroki

  Workshop on Theory and Applications of Random/Non-autonomous Dynamical Systems, 09 Sep. 2014, Invited

  
• Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials

  SUMI Hiroki

  Holomorphic Dynamics in One and Several Variables, 23 Aug. 2014, Invited

  
• Dimensions and measures of Julia sets of expanding rational semigroups with overlaps

  SUMI Hiroki

  数理解析研究所研究集会「力学系：理論と応用の相互作用」, 10 Jun. 2014

  
• Transversality family of expanding rational semigroups and contracting IFSs with overlaps

  SUMI Hiroki

  Spring Central Sectional MEeting, 11 Apr. 2014, Invited

  
• ランダム複素力学系に現れる悪魔のコロシアムのマルチフラクタル解析

  SUMI Hiroki

  非線形・非平衡系シンポジウムII-複雑系とエルゴード理論-, 13 Mar. 2014, Invited

  
• ランダム複素力学系におけるランダム性誘起現象

  SUMI Hiroki

  数理解析研究所研究集会「ランダム力学系理論とその応用」, 20 Feb. 2014

  
• Negativity of Lyapunov exponents in generic random dynamical systems of complex polynomials

  SUMI Hiroki

  2013 年度冬の力学系研究集会, 11 Jan. 2014

  
• Transversality family of expanding rational semigroups and contracting IFSs with overlaps

  SUMI Hiroki

  Measurable and Topological Dynamical Systems | Keio 2013, 12 Dec. 2013

  
• Negativity of Lyapunov Exponents in Generic Random Dynamical Systems of Complex Polynomials

  SUMI Hiroki

  京都大学数理解析研究所研究集会「Geometry of Moduli Space of Low Dimensional Manifolds」, 08 Nov. 2013, Invited

  
• ランダム複素力学系におけるリアプノフ指数の負値性と乱雑性誘起現象

  SUMI Hiroki

  研究集会「力学系・カオス・複雑系のエルゴード論」, 29 Aug. 2013, Invited

  
• Negativity of Lyapunov exponents in generic random dynamical systems of complex polynomials

  SUMI Hiroki

  PRIMA 2013, 24 Jun. 2013, Invited

  
• Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials

  SUMI Hiroki

  研究集会「複素解析的ベクトル場・葉層構造とその周辺」, 09 Jun. 2013, Invited

  
• ランダム複素力学系におけるランダム性誘起現象

  SUMI Hiroki

  金沢大学数学教室談話会, 05 Jun. 2013, Invited

  
• Random complex dynamics by holomorphic families of rational functions with non-empty kernel Julia sets

  SUMI Hiroki

  ２０１２年度冬の力学系研究集会, 12 Jan. 2013

  
• Random complex dynamics by holomorphic families of rational functions with non-empty kernel Julia sets

  SUMI Hiroki

  複素力学系の新展開, 10 Dec. 2012, Invited

  
• Random complex dynamics by holomorphic families of rational functions with non-empty kernel Julia sets

  SUMI Hiroki

  Ergodic Theory and Metric Number Theory, 04 Dec. 2012

  
• Stability, bifurcation and classification of minimal sets in random complex dynamics

  SUMI Hiroki

  Workshop on Non-uniformly Hyperbolic and Neutral One-dimensional Dynamics, 25 Apr. 2012, Invited

  
• Randomness-induced phenomena in random complex dynamics

  SUMI Hiroki

  Dynamics of Complex Systems, 08 Mar. 2012, Invited

  
• Stability, Bifurcation and Classi cation of Minimal Sets in Random Complex Dynamics

  SUMI Hiroki

  複素力学系の総合的研究, 27 Jan. 2012

  
• Stability and bifurcation in random complex dynamics

  SUMI Hiroki

  miniworkshop ``Thermodynamic Formalism, Geometry and Stochastics, 02 Jan. 2012, Invited

  
• Cooperation principle and stability in random complex dynamics

  SUMI Hiroki

  Automorphisms of algebraic varieties -- Dynamics and Arithmetic, 19 Dec. 2011, Invited

  
• Stability and bifurcation in random complex dynamics

  SUMI Hiroki

  The 19th International Conference on Finite or In nite Dimensional Complex Analysis and Applications, 12 Dec. 2011

  
• Stability and bifurcation in random complex dynamics

  SUMI Hiroki

  エルゴード理論とその周辺, 08 Dec. 2011

  
• Cooperation principle and stability in random complex dynamics

  SUMI Hiroki

  Goettingen-Penn State International Summer School on Dynamical Systems, 10 Aug. 2011, Invited

  
• Cooperation principle and stability in random complex dynamics

  SUMI Hiroki

  」Dynamics of Complex Systems 2011, 09 Mar. 2011, Invited

  
• Cooperation principle, stability and bifurcation in random complex dynamics

  SUMI Hiroki

  2010 年度冬の力学系研究集会, 08 Jan. 2011

  
• Cooperation principle and density of stable systems in random complex dynamics

  SUMI Hiroki

  RIMS研究集会「複素力学系とその周辺分野の研究」, 08 Dec. 2010, Invited

  
• Cooperation principle, stability and bifurcation in random complex dynamics

  SUMI Hiroki

  第53 回 函数論シンポジウム, 23 Nov. 2010, Invited

  
• ランダムな複素力学系における協調原理、安定性と分岐

  SUMI Hiroki

  慶応大学幾何セミナー, 15 Nov. 2010, Invited

  
• ランダムな複素力学系における協調原理、安定性と分岐（２)

  SUMI Hiroki

  北海道大学第149 回複雑系セミナー2, 26 Oct. 2010, Invited

  
• ランダムな複素力学系における協調原理、安定性と分岐（１）

  SUMI Hiroki

  北海道大学第149 回複雑系セミナー, 25 Oct. 2010, Invited

  
• Cooperation principle and disappearance of chaos in random complex dynamics

  SUMI Hiroki

  Stochastic Processes and Their Application, 07 Sep. 2010

  
• Cooperation principle and disappearance of chaos in random complex dynamics

  SUMI Hiroki

  Conference on Complex Analysis, 21 May 2010, Invited

  
• ランダムな複素力学系の極限状態に出現する複素平面上の特異関数

  SUMI Hiroki

  北海道大学 数学連携サロン第21 回、第142 回複雑系セミナー, 27 Apr. 2010, Invited

  
• ランダムな複素力学系における協調原理とカオスの消滅

  SUMI Hiroki

  北海道大学数学連携サロン第20 回、第141 回複雑系セミナー, 26 Apr. 2010, Invited

  
• ランダムな複素力学系における協調原理と複素平面上の特異関数

  SUMI Hiroki

  九州大学力学系セミナー, 16 Feb. 2010, Invited

  
• Cooperation principle in random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  2009 年度冬の力学系研究集会, 10 Jan. 2010

  
• Cooperation principle in random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  複素力学系とその関連分野の総合的研究, 16 Dec. 2009, Invited

  
• Cooperation principle in random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  「エルゴード理論の最近の話題, 07 Nov. 2009

  
• ランダムな複素力学系における協調原理と複素平面上の特異関数

  SUMI Hiroki

  日本数学会秋季総合分科会, 26 Sep. 2009

  
• Random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  Kyoto Dynamics Days 8,, 12 Sep. 2009, Invited

  
• Cooperation principle in random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  XXIst Rolf Nevanlinna Colloquium, 10 Sep. 2009

  
• Random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  Advances in Low Dimensional Dynamics, 10 Jun. 2009, Invited

  
• Random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  Dynamical Systems II, 17 May 2009, Invited

  
• ランダムな複素力学系におけるカオスの消滅と複素平面上の特異関数

  SUMI Hiroki

  京都大学力学系セミナー, 25 Apr. 2009, 京都大学, Invited

  
• Random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  UK-Japan Winter School Dynamics and Complexity, 08 Jan. 2009, Invited

  
• The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity

  SUMI Hiroki

  Moduli and invariants in complex analysis and algebraic geometry, 27 Nov. 2008

  
• Random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  Complex dynamics and related topics,, 01 Nov. 2008, Invited

  
• Random complex dynamics and singular functions on the complex plane

  SUMI Hiroki

  Aspects of Transcendental Dynamics, 18 Jun. 2008

  
• Random complex dynamics and semigroups of holomorphic maps

  SUMI Hiroki

  007 年度冬の力学系研究集会, 05 Jan. 2008

  
• ランダムな複素力学系、有理半群と複素平面上の特異関数

  SUMI Hiroki

  力学系と微分方程式, 09 Nov. 2007

  
• Random Julia sets which are Jordan curves but not quasicircles

  SUMI Hiroki

  Colloquium in University of North Texas, 21 Sep. 2007

  
• Random complex dynamics and rational semigroups

  SUMI Hiroki

  複素力学系とその周辺分野の研究, Sep. 2007

  
• Classi cation of polynomial semigroups and random Julia sets that are Jordan curves but not quasicircles

  SUMI Hiroki

  15th International conference of nite and in nite dimensional complex analysis and applications, Jul. 2007

  
• Random dynamics of polynomials and singular functions in the complex plane

  SUMI Hiroki

  AMS meeting Special session Complex Dynamics and Complex Function Theory, 16 Mar. 2007

  
• The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity

  SUMI Hiroki

  Colloquium in University of North Texas, Feb. 2007

  
• Random Julia sets that are Jordan curves but not quasicircles

  SUMI Hiroki

  力学系研究集会, 06 Jan. 2007

  
• Random Julia sets that are Jordan curves but not quasicircles

  SUMI Hiroki

  複素力学系とその周辺, Oct. 2006

  
• 有理半群、ランダムな複素力学系と複素平面上の特異関数

  SUMI Hiroki

  日本数学会 函数論分科会特別講演, 20 Sep. 2006, Invited

  
• 「Random dynamics of polynomials and singular functions in the complex plane

  SUMI Hiroki

  Mathematics on Fractals 2006, Sep. 2006

  
• Dynamics of polynomial semigroups, interaction cohomology and singular function in the complex plane

  SUMI Hiroki

  第53回トポロジーシンポジウム, 08 Aug. 2006, Invited

  
• 臨界値集合が有界な多項式半群の力学系と後方自己相似系の相互作用コホモロジー

  SUMI Hiroki

  日本数学会, Mar. 2006

  
• The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity

  SUMI Hiroki

  複素力学系とその周辺分野の研究, 25 Jan. 2006

  
• Random dynamics of polynomials and singular functions in the complex plane

  SUMI Hiroki

  冬の力学系研究集会, Jan. 2006

  
• Random dynamics of polynomials and devil's-staircase-like functions in the complex plane

  SUMI Hiroki

  International Symposium ``Analytic Function Theory, Fractional Calculus and their Applications, Aug. 2005

  
• ランダムな多項式力学系と複素平面上の悪魔の階段状関数

  SUMI Hiroki

  京都大学複素力学系セミナー, 26 May 2005

  
• 後方自己相似系の相互作用コホモロジーと危点軌道有界多項式半群の力学系

  SUMI Hiroki

  京都大学力学系セミナー, 20 May 2005, Invited

  
• ランダムな多項式力学系と複素平面上の悪魔の階段状関数

  SUMI Hiroki

  フラクタル研究集会, 03 Feb. 2005

  
• Random dynamics of polynomials and singular functions in the complex plane

  SUMI Hiroki

  Colloquium in University of North Texas, 21 Sep. 2004

  
• Dynamics of postcritically bounded polynomial semigroups and interaction cohomology

  SUMI Hiroki

  Seminar in Ball State University, 21 Sep. 2004

  
• 「The dimensions of Julia sets of expanding rational semigroups

  SUMI Hiroki

  seminar in University of North Texas, 18 Sep. 2004

  
• Dynamics of postcritically bounded polynomial semigroups and interaction cohomology

  SUMI Hiroki

  複素力学系の総合的研究, Feb. 2004

  
• Uniform perfectness of berwise Julia sets of fibered rational maps

  SUMI Hiroki

  高次元複素力学系, Dec. 2003

  
• Dynamics of polynomial semigroups with bounded postcritical set in the plane

  SUMI Hiroki

  １次元複素力学系とその関連分野, Jul. 2003

  
• 「A compacti cation of rational semigroups in a space of operators

  SUMI Hiroki

  国際研究集会「New Directions in Dynamical Systems」, Aug. 2002

  
• Porosity of Julia sets of semi-hyperbolic fibered rational maps and rational semigroups

  SUMI Hiroki

  複素力学系とその関連分野の研究, Oct. 2001

  
• Porosity of Julia sets of semi-hyperbolic fibered rational maps and rational semigroups

  SUMI Hiroki

  Non-hyperbolic dynamical systems, Jul. 2001

  
• Semi-hyperbolic dynamics on \overline{\Bbb{C } }-bundles

  SUMI Hiroki

  複素力学系と関連分野の研究, 16 Jun. 2000

  
• Dynamics of rational semigroups and Hausdorff dimension of the Julia sets

  SUMI Hiroki

  Complex dynamical systems, Jun. 1999

  
• 半双曲型多項式歪積の無限遠点吸引域のJohn 性

  SUMI Hiroki

  冬の力学系研究集会, 08 Jan. 1999

  
• Dynamics of rational semigroups and skew products

  SUMI Hiroki

  複素力学系の研究, 05 Oct. 1998

  
• 有理関数で出来た半群の力学系について

  SUMI Hiroki

  冬の力学系研究集会, 10 Jan. 1998

  
• Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and conformal measures of rational semigroups

  SUMI Hiroki

  複素力学系の諸問題, 06 Oct. 1997

  
• On dynamics of hyperbolic rational semigroups and Hausdorff dimension of Julia sets

  SUMI Hiroki

  研究集会「複素力学系とその関連分野」, 24 Sep. 1996

  
• Rational semigroup における安定領域での極限関数とJulia 集合の連続性

  SUMI Hiroki

  複素力学系に関する諸問題, 18 Sep. 1995

  

Books and Other Publications

• どうして高校生が数学を学ばなければならないの？

  角 大輝, Joint work, p148--167

  大阪大学出版会, Jul. 2017, Not refereed

  
• この定理が美しい

  角 大輝, Joint work, 複素数と繰り返しが織りなす世界--サリバンの遊走領域非存在定理--, p108-117.

  数学書房, Apr. 2009, Not refereed

  

Awards

• Sep. 2000

  Mathematical Society of Japan, Takebe Prize
• Aug. 2012

  Osaka University, Osaka University President Award for Encourgement (for research)
• 19 Sep. 2019

  Mathematical Society of Japan, The 2019 MSJ Analysis prize

External funds: Kakenhi

• Analysis of stochastic chaos in nonlinear stochastic differential equations and its applications

  Grant-in-Aid for Scientific Research (B)

  Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related

  Hokkaido University

  佐藤 譲

  From 01 Apr. 2021, To 31 Mar. 2026, Granted

  確率微分方程式;確率分岐;確率カオス;雑音誘起現象

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H01002/
• Study of Analysis and Geometry of complex spaces

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  JUN KIGAMI

  From 01 Apr. 2021, To 31 Mar. 2024, Project Closed

  フラクタル;拡散過程;ラプラシアン;熱核

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H00989/
• Theoretical study of random dynamical systems through the approach of stochastic processes

  Grant-in-Aid for Challenging Research (Exploratory)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Osaka University;Kyoto University

  Kouji Yano

  From 28 Jun. 2019, To 31 Mar. 2024, Project Closed

  ランダム力学系;確率過程論;一般化逆正弦法則;情報系分解;雑音誘起現象

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K21834/
• Research on random real and complex dynamical systems, semigroups of holomorphic maps and fractal geometry

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  Hiroki Sumi

  From 01 Apr. 2019, To 31 Mar. 2024, Project Closed

  ランダム複素力学系;ランダム力学系;正則写像半群;フラクタル;ランダム性誘起現象;エルゴード理論;複素解析学;ジュリア集合;ランダム緩和ニュートン法;マルコフ的複素力学系;力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H01790/
• Stochastic chaos in random dynamical systems

  Grant-in-Aid for Scientific Research (C)

  Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related

  Hokkaido University

  Yuzuru Sato

  From 01 Apr. 2018, To 31 Mar. 2022, Project Closed

  ランダム力学系;確率分岐;確率カオス;計算機援用証明;random dynamical systems;stochastic bifurcation;random strange attractor;stochastic chaos;comput. ergodic theory;不確定性;大自由度力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03441/
• Dynamical Systems: New Developments in Theory and Application

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  Hiroshi Kokubu

  From 01 Apr. 2018, To 31 Mar. 2023, Project Closed

  力学系;分岐;大域的構造;ランダム;時系列

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H03671/
• Relation between structure of spaces and analysis

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  JUN KIGAMI

  From 01 Apr. 2017, To 31 Mar. 2020, Project Closed

  フラクタル;熱核;距離空間;力学系;Harnack 不等式;等角次元;ラプラシアン;解析学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H02849/
• Remodelling Kleinin group theory using ergodic theory and complex analysis

  Grant-in-Aid for Challenging Exploratory Research

  Osaka University

  Ken'ichi Ohshika

  From 01 Apr. 2016, To 31 Mar. 2019, Project Closed

  Klein群;Teichmuller空間;擬等角写像;Teichmuller理論;力学系;不連続性;複素力学系;ending lamination;conical limit point

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K13756/
• Research on holomorphic mappings semigroups, random complex dynamical systems and fractal geometry

  Grant-in-Aid for Scientific Research (C)

  Kyoto University;Osaka University

  Hiroki Sumi

  From 01 Apr. 2015, To 31 Mar. 2018, Project Closed

  ランダム複素力学系;フラクタル幾何学;正則写像半群;ジュリア集合;エルゴード理論;マルチフラクタル解析;複素特異関数;複素解析学;等角反復関数系;複素力学系;有理半群;フラクタル;ランダム力学系;ランダム性誘起現象;マルコフ過程

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K04899/
• Thermodynamic formalism for conformal semigroup actions

  Grant-in-Aid for Research Activity Start-up

  Shimane University

  Johannes Jaerisch

  From 28 Aug. 2015, To 31 Mar. 2017, Project Closed

  Ergodic theory;Dynamical systems;Fractal Geometry;Hyperbolic Geometry;Geometric group theory;エルゴード理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15H06416/
• Progress of fundamentals of excursion theory and development of its novel applications

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Kouji YANO

  From 01 Apr. 2014, To 31 Mar. 2018, Project Closed

  周遊理論;確率過程論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26800058/
• Relation between algebra, geometry and analysis on fractals

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Jun Kigami

  From 01 Apr. 2014, To 31 Mar. 2017, Project Closed

  フラクタル;熱核;ラプラシアン;Dirichlet form;力学系;タイリング;自己相似集合;確率過程;拡散過程;複素力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26287017/
• Combinatorial models of character varieties and the dynamics of group actions there

  Grant-in-Aid for Challenging Exploratory Research

  Osaka University

  Ken'ichi OHSHIKA

  From 01 Apr. 2013, To 31 Mar. 2017, Project Closed

  指標多様体;Klein群;力学系;Cannon-Thurston写像;R-tree;不連続領域

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25610010/
• Random dynamical systems approaches to noise-induced phenomena

  Grant-in-Aid for Scientific Research (C)

  Hokkaido University

  Yuzuru SATO

  From 01 Apr. 2012, To 31 Mar. 2015, Project Closed

  ランダム力学系理論;雑音誘起現象;非線形時系列解析;ランダム力学系;確率カオス;確率的カオス;数理物理;カオス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540390/
• Research on random complex dynamics and the dynamics of semigroups of holomorphic maps

  Grant-in-Aid for Scientific Research (C)

  Osaka University

  Hiroki SUMI

  From 01 Apr. 2012, To 31 Mar. 2015, Project Closed

  複素力学系;ランダム複素力学系;フラクタル;エルゴード理論;協調原理;ジュリア集合;複素解析;有理半群;多項式半群;有理半群　アメリカ;カオス;反復関数系;複素特異関数;乱雑性誘起現象;フラクタル幾何学;ハウスドルフ次元;横断性条件

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540211/
• Dynamics on curve complexes and asymptotic structure of mapping class groups

  Grant-in-Aid for Challenging Exploratory Research

  Osaka University

  Kenichi OHSHIKA

  From 01 Apr. 2010, To 31 Mar. 2013, Project Closed

  曲線複体;写像類群;漸近幾何;変形空間;指標多様体;漸近構造;自己同型群;primitive sability;unmeasured lamination;dynamics;semi-group;タイヒミュラー空間;力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22654008/
• Ergodic-theoretical study of dynamical systems and stochastic processes related to the theory of Teichmuller spaces

  Grant-in-Aid for Scientific Research (B)

  Osaka University

  Takehiko MORITA

  From 01 Apr. 2010, To 31 Mar. 2014, Project Closed

  エルゴード理論;タイヒミュラー空間論;拡散過程;力学系;ブラウン運動;測地流;確率解析;熱力学形式;力学ゼータ関数;生成作用素

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340034/
• Rational manifolds and Calabi-Yau manifolds in the view of complex dymanics

  Grant-in-Aid for Scientific Research (B)

  Osaka University

  Keiji OGUISO

  From 01 Apr. 2010, To 31 Mar. 2015, Project Closed

  双有理変換;双正則変換;エントロピー;ダイナミカル次数;有理多様体;カラビ・ヤウ多様体;ICM招待講演;K3曲面;単有理多様体;超ケーラー多様体;自己同型;クレモナ変換;錐予想;導来圏;超単純多様体;コホモロジカル関手

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340009/
• Indiscrete representations of discrete groups

  Grant-in-Aid for Challenging Exploratory Research

  Hiroshima University

  Sakuma MAKOTO

  From 01 Apr. 2009, To 31 Mar. 2012, Project Closed

  離散群;非離散表現;2橋結び目;2橋絡み目;錐多様体;small cancellation theory;McShaneの等式;free period;エンド不変量;結び目群;橋分解

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21654011/
• Research on semigroups of holomorphic maps and random complex dynamics

  Grant-in-Aid for Scientific Research (C)

  Osaka University

  Hiroki SUMI

  From 01 Apr. 2009, To 31 Mar. 2012, Project Closed

  複素力学系;カオス;フラクタル幾何学;ランダム力学系;複素解析学;エルゴード理論;ハウスドルフ次元;雑音誘起現象;フラクタル;解析学;複素解析;ランダム複素力学系;協調原理;有理半群;複素特異関数;確率複素力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540216/
• Research of rational semigroups, complex dynamics on fiber budles, and random complex dynamics

  Grant-in-Aid for Scientific Research (C)

  Osaka University

  Hiroki SUMI

  From 01 Apr. 2006, To 31 Mar. 2009, Project Closed

  解析学;複素力学系;カオス;フラクタル;ランダムな力学系;特異関数;ランダムな複素力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18540216/
• Research on deformations of real and complex manifolds and variations of invariants

  Grant-in-Aid for Scientific Research (A)

  Tokyo Institute of Technology

  Hiroshige SHIGA

  From 01 Apr. 2005, To 31 Mar. 2009, Project Closed

  函数論;タイヒミュラー空間;複素多様体;ポテンシャル論;複素力学系;Klein群;正則曲線;複素構造の変形;マルチン核;調和関数;ハウスドルフ次元;リーマン面;Martin境界;モジュライ空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17204010/
• ASYMPTOTICAL ANALYSIS FOR EXPONENTIAL FUNCTIONALS IN INFINITE DIMENSIONAL STOCHASTIC MODELS

  Grant-in-Aid for Scientific Research (C)

  Tokyo Institute of Technology

  Tokuzo SHIGA

  From 01 Apr. 2004, To 31 Mar. 2007, Project Closed

  方物型アンダーソン模型;リヤプノフ指数;レヴィー・のいず7;ランダム環境;ランダム確率分布;レヴィー・キンチン公式;レヴィー・伊藤表現;random environment;random probability distribution;infinitely divisible;Levy-Khinchin formula;Levy-Ito representation;parabolic Anderson model;Lyapunov exponent;Levy-Khinchin公式;Levy-Ito表現;ランダム媒質;安定ランダム確率分布;フェルミオン・ボゾン確率場;ランダムなシュレーディンガー作用素;ランダムスペクトラム, Parabolic Anderson model;Lyapunov exponent;Levy noise;random environment;random distribution;Levy-Khinchin formula;Levy-Ito representation

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540097/
• 正則写像半群ならびにバンドル上の複素力学系の研究

  Grant-in-Aid for Young Scientists (B)

  Osaka University;Tokyo Institute of Technology

  角 大輝

  From 01 Apr. 2003, To 31 Mar. 2006, Project Closed

  複素力学系;有理半群;フラクタル幾何学;ジュリア集合;ハウスドルフ次元;ランダムな複素力学系;多項式半群;コホモロジー;ランダム力学系;複素解析学;エルゴード理論;半群;反復写像系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15740103/
• 正則写像半群ならびにバンドル上の複素力学系の研究

  Grant-in-Aid for Young Scientists (B)

  Tokyo Institute of Technology

  角 大輝

  From 01 Apr. 2001, To 31 Mar. 2003, Project Closed

  複素力学系;フラクタル;正則写像半群;複素解析学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13740112/
• Research on rigidity and finiteness for holomorphic mappings on complex hyperbolic manifolds

  Grant-in-Aid for Scientific Research (C)

  Tokyo Institute of Technology

  Hiroshige SHIGA

  From 01 Apr. 2001, To 31 Mar. 2004, Project Closed

  双曲多様体;フックス群;複素力学系;ファック群, Hyperbolic Manifold;Fuchsian group;Complex dynamics

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640156/
• MATEMATICAL ANALYSIS OF INFINITE DIMENSIONAL STOCHASTIC MODELS

  Grant-in-Aid for Scientific Research (C)

  Tokyo Institute of Technology

  Tokuzo SHIGA

  From 01 Apr. 2001, To 31 Mar. 2004, Project Closed

  方物型アンダーソンモデル;リアプノフ指数;向きを持つポリマーモデル;Strong Disorder;アンダーソン局在;フェルミオン確率場;臨界現象;リヤプノフ指数;向きをもつポリマーモデル;Strong disorder;フェルミオンランダム場;条件付極限定理;Bessel meander, Strong Disorder;Anderson Localization;Fermion Random Field;Critical Phenomena

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640103/
• Mathematical Study of Critical Phenomena for Statistical Models in Probability

  Grant-in-Aid for Scientific Research (C)

  Nagoya University;Tokyo Institute of Technology

  Takashi HARA

  From 01 Apr. 1999, To 31 Mar. 2001, Project Closed

  パーコレーション;臨界現象;連続極限;スケーリング極限;臨界点;無限クラスター;Integrated super-Brownian excursion;incipient infinite cluster;ISE;lace expansion, percolation;critical phenomena;critical point;continuum limit;scaling limit;infinite cluster;integrated super-Brownian excursion

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640104/
• Analysis of Infinite-dimensional Markovian Models

  Grant-in-Aid for Scientific Research (C)

  Tokyo Institute of Technology

  Tokuzo SHIGA

  From 01 Apr. 1999, To 31 Mar. 2001, Project Closed

  測度値拡散過程;フレミング・ヴィオ過程;時間可逆性;ランダムウォーク;相互作用のある拡散過程;ランダムポテンシャル;測度値確立過程;条件付極限定理;相互作用のある拡散系;1次元拡散過程, measure-valued diffusion;Fleming-Viot process;time reversibility;interacting diffusion;random potential

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640103/
• ランダム力学系・非自励力学系、写像半群の力学系とフラクタル幾何学の研究

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  角 大輝

  From 01 Apr. 2024, To 31 Mar. 2029, Granted

  力学系;ランダム力学系;複素力学系;フラクタル;エルゴード理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K00526/
• Analysis of stochastic chaos in nonlinear stochastic differential equations and its applications

  Grant-in-Aid for Scientific Research (B)

  Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related

  Hokkaido University

  佐藤 譲

  From 01 Apr. 2021, To 31 Mar. 2026, Granted

  確率分岐;確率カオス;確率微分方程式;雑音誘起現象

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20814/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Fundamentals for Transdisciplinary Research 1

  M226, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Research in Mathematical Science

  8269, Year-long, Faculty of Integrated Human Studies, 8
• From 01 Apr. 2025, To 31 Mar. 2026

  Research in Human and Environmental Studies II

  KK23, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Research in Human and Environmental Studies I

  KK22, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Human Coexistence II

  1002, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Human Coexistence I

  1001, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar in Mathematics and Informatics

  5973, Spring, Faculty of Integrated Human Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Introduction to Mathematical and Information Sciences

  0060, Spring, Faculty of Integrated Human Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Mathematics of Phenomena 5B

  AA17, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Mathematics of Phenomena 5A

  AA16, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Basic Seminar on Mathematical Sciences

  AA01, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Fundamentals for Transdisciplinary Research 1

  KK02, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Advanced Seminar in Human and Environmental Studies 2

  RR06, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Advanced Seminar in Human and Environmental Studies 1

  RR05, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Advanced Research in Human and Environmental Studies II

  RR04, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Special Seminar in Human and Environmental Studies

  RR07, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Special seminar on mathematics of phenomena 1

  O021, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Advanced Studies of Human Coexistence II

  O002, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Advanced Studies of Human Coexistence I

  O001, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Advanced Research in Human and Environmental Studies I

  RR03, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Special seminar on mathematical science

  O034, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Special seminar on mathematics of phenomena 2

  O022, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Research in Mathematical Science

  8269, Year-long, Faculty of Integrated Human Studies, 8
• From 01 Apr. 2024, To 31 Mar. 2025

  Research in Human and Environmental Studies II

  KK23, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2024, To 31 Mar. 2025

  Research in Human and Environmental Studies I

  KK22, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2024, To 31 Mar. 2025

  Human Coexistence II

  1002, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2024, To 31 Mar. 2025

  Human Coexistence I

  1001, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2024, To 31 Mar. 2025

  Lectures on Mathematical Structures A

  8206, Spring, Faculty of Integrated Human Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Introduction to Mathematical and Information Sciences

  0060, Spring, Faculty of Integrated Human Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Studies of Human Coexistence II

  O002, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Studies of Human Coexistence I

  O001, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Fundamentals for Transdisciplinary Research 1

  KK02, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Special seminar on mathematical science

  O034, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Special seminar on mathematics of phenomena 2

  O022, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Special seminar on mathematics of phenomena 1

  O021, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Basic Seminar on Mathematical Sciences

  AA01, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Mathematics of Phenomena 5B

  AA17, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Mathematics of Phenomena 5A

  AA16, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Dynamical Systems 1

  AA06, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Seminar in Human and Environmental Studies 1

  RR05, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Research in Human and Environmental Studies II

  RR04, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Research in Human and Environmental Studies I

  RR03, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Special Seminar in Human and Environmental Studies

  RR07, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Seminar in Human and Environmental Studies 2

  RR06, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Reserch in Mathematical Science

  8269, Year-long, Faculty of Integrated Human Studies, 8
• From 01 Apr. 2023, To 31 Mar. 2024

  Human Coexistence II

  1002, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Human Coexistence I

  1001, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Research in Human and Environmental Studies II

  KK23, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Research in Human and Environmental Studies I

  KK22, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Introduction to Mathematical Information Science

  0057, Spring, Faculty of Integrated Human Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Special Seminar in Human and Environmental Studies

  RR07, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Seminar in Human and Environmental Studies 2

  RR06, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Seminar in Human and Environmental Studies 1

  RR05, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Research in Human and Environmental Studies II

  RR04, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Special seminar on mathematics of phenomena 1

  O021, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Studies of Human Coexistence II

  O002, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Studies of Human Coexistence I

  O001, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Research in Human and Environmental Studies I

  RR03, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Special seminar on mathematical science

  O034, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Special seminar on mathematics of phenomena 2

  O022, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Basic Seminar on Mathematical Sciences

  AA01, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Fundamentals for Transdisciplinary Research 1

  KK02, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Mathematics of Phenomena 5B

  AA17, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Mathematics of Phenomena 5A

  AA16, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Advanced Studies of Human Coexistence I

  O001, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Introduction to Mathematical Information Science

  0057, Spring, Faculty of Integrated Human Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Human Coexistence I

  1001, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Advanced Studies of Human Coexistence II

  O002, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Reserch in Mathematical Science

  8269, Year-long, Faculty of Integrated Human Studies, 8
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Mathematics of Phenomena 5A

  D034, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Special seminar on mathematics of phenomena 1

  O021, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Special seminar on mathematical science

  O034, Year-long, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Dynamical Systems1

  D016, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Basic Seminar on Mathematical Sciences

  D014, Spring, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Mathematics of Phenomena 5B

  D035, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Special seminar on mathematics of phenomena 2

  O022, Fall, Graduate School of Human and Environmental Studies, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Human Coexistence II

  1002, Year-long, Graduate School of Human and Environmental Studies, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Lectures on Mathematical Structures A

  8206, Spring, Faculty of Integrated Human Studies, 2
• From Apr. 2017, To Mar. 2018

  Advanced Studies of Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Advanced Studies of Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Dynamical Systems2

  Fall, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Basic Seminar on Mathematical Sciences

  Spring, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Special seminar on mathematical science

  Year-long, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Reserch in Mathematical Science

  Year-long, 総合人間学部
• From Apr. 2017, To Mar. 2018

  Seminar on Mathematics of Phenomena 5A

  Spring, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Mathematics of Phenomena 5B

  Fall, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Special seminar on mathematics of phenomena 1

  Spring, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Special seminar on mathematics of phenomena 2

  Fall, 人間・環境学研究科
• From Apr. 2017, To Mar. 2018

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Advanced Studies of Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Advanced Studies of Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Dynamical Systems1

  Spring, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Lectures on Mathematical Structures A

  Spring, 総合人間学部
• From Apr. 2018, To Mar. 2019

  Basic Seminar on Mathematical Sciences

  Spring, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Special seminar on mathematical science

  Year-long, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Reserch in Mathematical Science

  Year-long, 総合人間学部
• From Apr. 2018, To Mar. 2019

  Seminar on Mathematics of Phenomena 5A

  Spring, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Mathematics of Phenomena 5B

  Fall, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Special seminar on mathematics of phenomena 1

  Spring, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Special seminar on mathematics of phenomena 2

  Fall, 人間・環境学研究科
• From Apr. 2018, To Mar. 2019

  Introduction to Linguistic and Mathematical Information Science

  Spring, 総合人間学部
• From Apr. 2019, To Mar. 2020

  Advanced Studies of Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Advanced Studies of Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Basic Seminar on Mathematical Sciences

  Spring, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Special seminar on mathematical science

  Year-long, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Reserch in Mathematical Science

  Year-long, 総合人間学部
• From Apr. 2019, To Mar. 2020

  Seminar on Mathematics of Phenomena 5A

  Spring, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Mathematics of Phenomena 5B

  Fall, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Special seminar on mathematics of phenomena 1

  Spring, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Special seminar on mathematics of phenomena 2

  Fall, 人間・環境学研究科
• From Apr. 2019, To Mar. 2020

  Introduction to Linguistic and Mathematical Information Science

  Spring, 総合人間学部
• From Apr. 2020, To Mar. 2021

  Advanced Studies of Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Advanced Studies of Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Dynamical Systems1

  Spring, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Lectures on Mathematical Structures A

  Spring, 総合人間学部
• From Apr. 2020, To Mar. 2021

  Seminar in Mathematics and Informatics

  Spring, 総合人間学部
• From Apr. 2020, To Mar. 2021

  Basic Seminar on Mathematical Sciences

  Spring, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Special seminar on mathematical science

  Year-long, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Reserch in Mathematical Science

  Year-long, 総合人間学部
• From Apr. 2020, To Mar. 2021

  Seminar on Mathematics of Phenomena 5A

  Spring, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Mathematics of Phenomena 5B

  Fall, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Special seminar on mathematics of phenomena 1

  Spring, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Special seminar on mathematics of phenomena 2

  Fall, 人間・環境学研究科
• From Apr. 2020, To Mar. 2021

  Introduction to Linguistic and Mathematical Information Science

  Spring, 総合人間学部
• From Apr. 2021, To Mar. 2022

  Advanced Studies of Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Advanced Studies of Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Human Coexistence I

  Year-long, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Human Coexistence II

  Year-long, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Introduction to Mathematical Information Science

  Spring, 総合人間学部
• From Apr. 2021, To Mar. 2022

  Basic Seminar on Mathematical Sciences

  Spring, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Special seminar on mathematical science

  Year-long, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Reserch in Mathematical Science

  Year-long, 総合人間学部
• From Apr. 2021, To Mar. 2022

  Seminar on Mathematics of Phenomena 5A

  Spring, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Mathematics of Phenomena 5B

  Fall, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Special seminar on mathematics of phenomena 1

  Spring, 人間・環境学研究科
• From Apr. 2021, To Mar. 2022

  Special seminar on mathematics of phenomena 2

  Fall, 人間・環境学研究科

Participation in PhD Defense

• Continuity and connectivity of the Julia Sets for perturbations of semi-parabolic H■non maps(半放物型エノン写像の摂動におけるジュリア集合の連続性と連結性)

  YAGI TAKUMI, Graduate School of Human and Environmental Studies, Chief Examiner

  24 Mar. 2025
• Direct and inverse quantum scattering problems in electromagnetic fields

  TSUJII YUUTA, Graduate School of Human and Environmental Studies, Sub-chief Examiner

  25 Mar. 2024
• Application of quasiconformal surgery to some transcendental meromorphic functions

  NABA HIROTO, Graduate School of Human and Environmental Studies, Sub-chief Examiner

  23 Mar. 2023
• Transversal family of non-autonomous conformal iterated function systems and the connectedness locus in the parameter space

  NAKAJIMA YUTO, Graduate School of Human and Environmental Studies, Chief Examiner

  23 Mar. 2022

Administration

School management (title, position)

• From 01 Apr. 2023, To 31 Mar. 2024

  国際高等教育院 企画評価専門委員会 数学部会 委員
• From 01 Apr. 2018, To 31 Mar. 2020

  学生生活委員会 委員
• From 01 Apr. 2018, To 31 Mar. 2020

  学生生活委員会第三小委員会 委員

Faculty management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2026

  研究科・学部運営会議 委員
• From 01 Apr. 2025, To 31 Mar. 2026

  大学院入試委員会 委員
• From 01 Apr. 2025, To 31 Mar. 2026

  数理・情報科学講座 講座主任
• From 01 Apr. 2024, To 31 Mar. 2025

  研究科・学部運営会議 委員
• From 01 Apr. 2024, To 31 Mar. 2025

  大学院入試委員会 委員
• From 01 Apr. 2024, To 31 Mar. 2025

  広報誌パンフレット小委員会 委員長
• From 01 Apr. 2024, To 31 Mar. 2025

  数理・情報科学講座 講座主任
• From 01 Apr. 2023, To 31 Mar. 2024

  広報誌パンフレット小委員会 委員
• From 01 Apr. 2023, To 31 Mar. 2024

  数理・情報科学講座 講座副主任
• From 01 Apr. 2018, To 31 Mar. 2019

  大学院教務委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  学生生活委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  大学院教務委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  学生生活委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  学生生活委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  学生相談室運営会議委員
• From 01 Apr. 2021, To 31 Mar. 2022

  学生生活委員会委員長
• From 01 Apr. 2022, To 31 Mar. 2023

  学生生活委員会 委員長
• From 01 Apr. 2022, To 31 Mar. 2023

  学生相談室運営会議 委員