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Kigami, Jun

Graduate School of Informatics, Department of Advanced Mathematical Sciences Professor

Kigami, Jun
list
    Last Updated :2022/05/14

    Basic Information

    Faculty

    • 理学部 理学部

    Academic Degree

    • 理学修士(京都大学)
    • 理学博士(京都大学)

    ID,URL

    Website(s) (URL(s))

    researchmap URL

    list
      Last Updated :2022/05/14

      Research

      Research Areas

      • Natural sciences, Basic analysis

      Papers

      • Why does invasion imply substitution? Beyond the paradigm of invasion fitness.
        T. Oba; J. Kigami
        J. Math. Biol., 2018, Peer-reviewed
      • Completely symmetric resistance forms on the stretched Sierpiński gasket
        P. Alonso-Ruiz; U. Freiberg; Jun Kigami
        J. Fractal Geometry, 2018, Peer-reviewed
      • Transitions on a noncompact Cantor set and random walks on its defining tree
        Jun Kigami
        ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, Nov. 2013, Peer-reviewed
      • Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees
        Jun Kigami
        ADVANCES IN MATHEMATICS, Dec. 2010, Peer-reviewed
      • Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate
        Jun Kigami
        MATHEMATISCHE ANNALEN, Apr. 2008, Peer-reviewed
      • Local Nash inequality and inhomogeneity of heat kernels
        J Kigami
        PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Sep. 2004, Peer-reviewed
      • Harmonic analysis for resistance forms
        J Kigami
        JOURNAL OF FUNCTIONAL ANALYSIS, Nov. 2003, Peer-reviewed
      • Multifractal formalisms for the local spectral and walk dimensions
        B. M. Hambly; Jun Kigami; Takashi Kumagai
        Mathematical Proceedings of the Cambridge Philosophical Society, 2002, Peer-reviewed
      • Self-similarity of volume measures for laplacians on p. c. f self-similar fractals
        J Kigami; ML Lapidus
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Feb. 2001, Peer-reviewed
      • Constructing a Laplacian on the diamond fractal
        J Kigami; RS Strichartz; KC Walker
        EXPERIMENTAL MATHEMATICS, 2001, Peer-reviewed
      • Green's functions on fractals
        J Kigami; DR Sheldon; RS Strichartz
        FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, Dec. 2000, Peer-reviewed
      • Distributions of localized eigenvalues of Laplacians on post critically finite self-similar sets
        J Kigami
        JOURNAL OF FUNCTIONAL ANALYSIS, Jun. 1998, Peer-reviewed
      • Localized eigenfunctions of the Laplacian on pcf self-similar sets
        MT Barlow; J Kigami
        JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Oct. 1997, Peer-reviewed
      • HAUSDORFF DIMENSIONS OF SELF-SIMILAR SETS AND SHORTEST-PATH METRICS
        J KIGAMI
        JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Jul. 1995, Peer-reviewed
      • HARMONIC CALCULUS ON LIMITS OF NETWORKS AND ITS APPLICATION TO DENDRITES
        J KIGAMI
        JOURNAL OF FUNCTIONAL ANALYSIS, Feb. 1995, Peer-reviewed
      • Laplacians on self-similar sets and their spectral distributions
        J Kigami
        FRACTAL GEOMETRY AND STOCHASTICS, 1995, Peer-reviewed, Lead author
      • EFFECTIVE RESISTANCES FOR HARMONIC STRUCTURES ON PCF SELF-SIMILAR SETS
        J KIGAMI
        MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, Mar. 1994, Peer-reviewed
      • WEYL PROBLEM FOR THE SPECTRAL DISTRIBUTION OF LAPLACIANS ON PCF SELF-SIMILAR FRACTALS
        J KIGAMI; ML LAPIDUS
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Nov. 1993, Peer-reviewed
      • HARMONIC CALCULUS ON PCF SELF-SIMILAR SETS
        J KIGAMI
        TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Feb. 1993, Peer-reviewed
      • A CALCULUS ON SOME SELF-SIMILAR SETS
        J KIGAMI
        FRACTALS IN THE FUNDAMENTAL AND APPLIED SCIENCES, 1991, Peer-reviewed
      • THE DYNAMIC ATTAINABILITY OF ESS IN EVOLUTIONARY GAMES
        T TAKADA; J KIGAMI
        JOURNAL OF MATHEMATICAL BIOLOGY, 1991, Peer-reviewed
      • A harmonic calculus on the Sierpinski spaces
        Jun Kigami
        Japan Journal of Applied Mathematics, Jun. 1989, Peer-reviewed
      • SOME FUNCTIONAL-EQUATIONS WHICH GENERATE BOTH CRINKLY BROKEN LINES AND CURVES
        J KIGAMI
        JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Feb. 1987, Peer-reviewed
      • SOME PREDICTABILITY IN ONE-DIMENSIONAL CHAOTIC DYNAMICAL-SYSTEMS ARISING IN POPULATION-MODELS
        J KIGAMI
        ADVANCES IN APPLIED MATHEMATICS, 1985, Peer-reviewed
      • AN EXPLICIT ESTIMATE OF SOJOURNING TIME BY INTERMITTENCY WITH ELEMENTARY METHOD
        J KIGAMI
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1983, Peer-reviewed

      Presentations

      • Ahlfors regular conformal dimension of metric spaces and parabolic index of finite graphs
        J. Kigami
        Geometric Measure Theory and Geometric Analysis in Moscow, 14 Sep. 2020, Invited
      • Ahlfors regular conformal dimension of compact metric spaces and parabolic index of infinite graphs
        J. Kigami
        Canadian Mathematical Society Winter meeting, 07 Dec. 2019, Canadian Mathematical Society, Invited
      • Weighted partition of metric spaces
        J. Kigami
        Heat Kernels, Stochastic Processes and Functional Inequalities, 19 Nov. 2019, Mathematisches Forschungsinstitut Oberwolfach, Invited
      • Ahlfors conformal dimension of a metric space and parabolic index of an inite graph
        Jun Kigami
        International Conference on Analysis and PDEs on Manifolds and Fractals, 26 Sep. 2019, Invited
      • Weakly exponential measures and time changes of the Brownian motion
        Jun Kigami
        IPAM Workshop, Analysis and Geometry of Random Shapes, 10 Jan. 2019, Institute for Pure and Applied Mathematics, UCLA, Invited
      • Weighted partition of a compact metrizable space, its hyperboliticy, and Ahlfors regular conformal dimension
        Jun Kigami
        2018 Spring Probability Workshop, 04 Jun. 2018, Institute of Mathematics, Academia Sinica, Taipei, Taiwan, Invited
      • Weighted partition of a compact metrizable space, its hyperbolicity, and Ahlfors regular conformal dimension
        Jun Kigami
        2nd Kyoto/Hong Kong Workshop on Fractal Geometry and Related Areas, 11 May 2018, Invited
      • Ahlfors regular conformal dimension and critical value of p-energies on a compact metric space
        Jun Kigami
        1134th AMS Sectional Meeting, 05 Nov. 2017, American Mathematical Society, Invited
      • Construction of metrics on compact metric spaces
        Jun Kigami
        6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals, 13 Jun. 2017, Invited
      • Completely symmetric resistance forms on the Stretched Sierpinski gasket
        Jun Kigami
        2016 Summer School on Fractal Geometry and Complex Dimensions, 29 Jun. 2016, California Polytechnic State University, San Luis Obispo, Invited
      • Time change of Brownian motion; Poincare inequality and Protodistance
        Jun Kigami
        Lorenz center workshop; Fractality and Fractionality, 18 May 2016, Lorentz Center, University of Leiden, Invited
      • Geometry of Metric Spaces via Partitions and Gauge Functions
        Jun Kigami
        1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas, 22 Mar. 2016, Hong Kong University of Science and Technogogy, Invited
      • Time change of Brownian motion: Poincare inequality, heat kernel estimate and protodistance
        Jun Kigami
        2016 Joint Mathematics meeting, 07 Jan. 2016, American Mathematical Society, Mathematical Association of America, Invited
      • Partition of metrizable spaces by trees, volume doubling measures and quasisymmetry
        Jun Kigami
        1114th AMS meeting, 24 Oct. 2015, American Mathematical Society, Invited
      • Analysis on Fractals
        Jun Kigami
        3rd Bremen Winter School and Symposium, Diffusion on Fractals and Non-linear Dynamics, 24 Mar. 2015, University of Bremen, Invited
      • Self-similar sets as quotients of shifts
        Jun Kigami
        New Directions in Fractal Geometry, 24 Nov. 2014, Australian National University, Invited
      • Time change of Brownian motion: Poincare inequality and heat kernel estimate
        Jun Kigami
        Workshop on Dirichlet forms and Stochastic Analysis 2014, 26 Oct. 2014, Technische Universitat Dresden, Invited
      • Dirichlet forms on p-adic numbers and random walks on the associated tree
        Jun Kigami
        Dirichlet Form Theory and its Applications, 21 Oct. 2014, Mathematisches Forschungsinstitut Oberwolfach, Invited
      • Volume doubling property, quasisymmetry and heat kernels
        Jun Kigami
        Australian Satistical Conference in conjunction with the Institute of Mathematical Statistics Annual Meeting 2014, 07 Jul. 2014, Australian Statistical Society and Institute of Mathematical Statistics, Invited
      • Self-similar sets as quotients of Shift spaces
        Jun Kigami
        5th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals, 11 Jun. 2014, Cornell University, Invited
      • Diffusion on inhomogeneous media and multifractal analysis
        Jun Kigami
        Multifractal Analysis: From Theory to Applications and Back, 24 Feb. 2014, Banff International Reseach Station for Mathematical Innovation and Discovery, Invited
      • Analyses on measure metric spaces: Cheeger construction and measurable Riemannian geometry
        Jun Kigami
        Recent Trends in Stochastic Analysis, 24 Jul. 2013, Pacific Institute for the Mathematics Sciences, Invited
      • Completion of the Sierpinski gasket minus the unit interval
        Jun Kigami
        Workshop: Heat kernels, Stochastic Processes and Functional Inequalities, 10 May 2013, Mathematisches Forschungsinstitut Oberwolfach, Invited
      • Partition, volume doubling property and quasisymmetry
        Jun Kigami
        Interaction Between Analysis and Geometry, Workshop III: Non-smooth geometry, 03 May 2013, Institute of Pure and Applied Mathematics, UCLA, Invited
      • Analyses on metric-measure spaces
        Jun Kigami
        Interaction Between Analysis and Geometry, Worksho I: Analysis on Metric Spaces, 20 Mar. 2013, Institute of Pure and Applied Mathemacis, UCLA, Invited
      • Partition, volume doubling property and quasisymmetry on metric measure spaces
        Jun Kigami
        International Conference on Advances on Fractals &Related Topics, 12 Dec. 2012, The Chinese University of Hong Kong, Invited
      • Analysis on Fractals
        Jun Kigami
        The Applications of Fractal Geometry & Dynamical Systems Theory to Biology & Physics., 20 Jun. 2012, Institute for the Applications of Mathematics & Integrated Science, Unversity of California, Riverside, Invited
      • Partition, volume doubling property and quasi symmetry on metric spaces
        Jun Kigami
        AMS 1078th meeting, 08 Mar. 2012, American Math. Soc., Invited
      • Dirichlet forms on a noncompact Cantor set and random walk on its defining tree
        Jun Kigami
        First International meeting PISRS, Analysis, Fractal Geometry, Dynamical Systems and Eonomics, 10 Nov. 2011, University of Messina, Invited
      • Closure of S\I
        Jun Kigami
        AMS 1072th meeting, 10 Sep. 2011, American Math. Soc., Invited
      • Quaiconformal modification of metrics on self-similar sets
        Jun Kigami
        1062nd AMS meeting, 02 Oct. 2010, American Math. Soc., Invited
      • Dirichlet forms and heat kernels on the Cantor sets as the traces of Random walks on trees
        4th International Conference on Stochastic Analysis and Its applications, 02 Sep. 2010, Kansai Univeristy, Invited
      • Resistance forms, quasisymmetric maps and heat kernel estimates
        Jun Kigami
        Workshop "Analysis and Probability on Fractals", 01 Jun. 2010, Fourier Institute, Grenoble, Invited

      Books and Other Publications

      • Geometry and Analysis of metric spaces via weighted partitions
        Jun KIGAMI, Single work
        Lecture Notes in Mathematics 2265, Springer, Nov. 2020, Refereed
      • Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance
        Jun Kigami, Single work
        Mem. Amer. Math. Soc. 259 no 1250, 2019, Refereed
      • Resistance forms, quasisymmetric maps and heat kernel estimates
        Jun Kigami
        Mem. Amer. Math. Soc. 216 no 1015, 2012, Refereed
      • Volume doubling measures and heat kernel estimates on self-similar sets
        Jun Kigami
        Mem. Amer. Math. Soc. 199 no. 932, 2009, Refereed
      • Analysis on Fractals
        Jun Kigami
        Cambridge Tracts in Mathematics, 143. Cambridge University Press, 2001, Not refereed

      External funds: Kakenhi

      • Construction of analysis via partitions and weights of spaces
        Grant-in-Aid for Challenging Research (Exploratory)
        Medium-sized Section 12:Analysis, applied mathematics, and related fields
        Kyoto University
        木上 淳
        From 09 Jul. 2021, To 31 Mar. 2024, Granted
        解析学;ソボレフ空間;分割;重み
      • Study of Analysis and Geometry of complex spaces
        Grant-in-Aid for Scientific Research (B)
        Basic Section 12010:Basic analysis-related
        Kyoto University
        木上 淳
        From 01 Apr. 2021, To 31 Mar. 2024, Granted
        フラクタル
      • 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
      • Anomalous diffusions on disordered media
        Grant-in-Aid for Scientific Research (A)
        Kyoto University
        熊谷 隆
        From 01 Apr. 2017, To 31 Mar. 2022, Granted
        確率論;複雑系;数理物理;解析学;ポテンシャル論;統計力学
      • 複雑領域のポテンシャル解析の深化―非線形PDEと理想境界への応用
        Grant-in-Aid for Scientific Research (A)
        Chubu University;Hokkaido University
        相川 弘明
        From 01 Apr. 2017, To 31 Mar. 2021, Granted
        ポテンシャル解析;函数論;偏微分方程式;確率論;幾何学;ポテンシャル;熱方程式;調和;リーマン多様体;ネットワーク;変分問題;非線形;自己相似集合;容量;正値解;平均曲率流;レブナ-方程式;距離空間;熱核;非線形変分問題
      • Towerd analysis on metric-measure spaces-- Cheeger theory and fractals
        Grant-in-Aid for Challenging Exploratory Research
        Kyoto University
        Jun Kigami
        From 01 Apr. 2014, To 31 Mar. 2016, Project Closed
        解析学;フラクタル;測度論リーマン構造;測度・距離空間;Dirichlet form;partition;quasisymmetry;volume doubling property;測度論的リーマン構造;Dirichlet From;自己相似集合;tree;距離空間;quaisymmetry
      • 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
      • Potential theory on space complexity and ideal boundary
        Grant-in-Aid for Scientific Research (B)
        Hokkaido University
        Hiroaki Aikawa
        From 01 Apr. 2013, To 31 Mar. 2018, Project Closed
        ポテンシャル;調和;容量;Green核;熱核;Harnack原理;ネットワーク;フラクタル;擬等角写像;Sierpinski gasket;varifold;解析学;関数論;関数方程式論;確率論;幾何学;グラフ;Brown運動;レブナー鎖;変分公式;Riemann面;境界Harnack原理;双曲空間;乗数イデアル;Harnack不等式;除去可能特異点;平均曲率流;非線形ネットワーク;Sierpinski carpet;擬等角変形空間;ガウス写像;熱半群
      • Stochastic processes on disordered media -- discrete models and their scaling limits
        Grant-in-Aid for Scientific Research (A)
        Kyoto University
        Takashi Kumagai
        From 01 Apr. 2013, To 31 Mar. 2017, Project Closed
        確率論;数理物理;解析学;複雑系;統計力学;熱方程式;国際研究者交流;イギリス:カナダ:アメリカ:フランス:中国;イギリス:カナダ:アメリカ:フランス;イギリス:カナダ:ドイツ:韓国:アメリカ
      • Interaction between areas of Mathematics related to internal structures of fractals
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Jun KIGAMI
        From 01 Apr. 2011, To 31 Mar. 2014, Project Closed
        フラクタル;解析学;確率論;力学系;ラプラシアン;熱核
      • Markov chains on disordered media and their scaling limits
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Takashi KUMAGAI
        From 01 Apr. 2010, To 31 Mar. 2013, Project Closed
        確率論;数理物理;解析学;複雑系;統計力学;飛躍型確率過程;国際研究者交流;イギリス:アメリカ:カナダ:ドイツ;イギリス:アメリカ:カナダ;英:米:ドイツ;イギリス:アメリカ:カナダ
      • Aspects of Mathematics on Fractals
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Jun KIGAMI
        Project Closed
        フラクタル;確率過程;熱核;タイリング;複素力学系;ジュリア集合;random walk;Tree;Cantor set;percolation cluster;調和関数;Martin境界;jump process
      • Research on potential problems from various aspects
        Grant-in-Aid for Scientific Research (A)
        Hokkaido University
        Hiroaki AIKAWA
        From 08 Apr. 2008, To 31 Mar. 2013, Project Closed
        実解析;ポテンシャル;調和;楕円型方程式;放物型方程式;複素解析;Riemann面;フラクタル;グラフ;Harnack不等式;境界Harnack原理;楕円型作用素の摂動;Cauchy積分;ヘルダー連続性;変動指数;確率過程;平均曲率流;Dirichlet問題;Harnack原理;フェイズフィールド法;Sierpinski carpet;conformal dimension;非線形不等式;一様領域;放物型偏微分方程式;Klien群;Random walk;半線形楕円型方程式;Rieszポテンシャル;Martin境界;正則写像;極小尖細;Markov chain;放物型ハルナック不等式;Orlicz空間;Allen-Cahn方程式
      • Developments of the theory of stochastic processes and real analysis on disordered media
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Takashi KUMAGAI
        Project Closed
        確率論;解析学;応用数学;数理物理;フラクタル;熱核;飛躍型確率過程;国際研究者交流;イギリス:ドイツ:ポーランド;カナダ:アメリカ:ドイツ;カナダ:アメリカ:フランス
      • 測度論的リーマン構造と対応する熱核の漸近挙動
        Grant-in-Aid for Exploratory Research
        Kyoto University
        木上 淳
        Project Closed
        熱核;リーマン計量;測地線;確率論;解析学;フラクタル;自己相似集合;Dirichlet形式;ランダムウォーク
      • Aspects of Mathematics on Fractals
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Jun KIGAMI
        Project Closed
        フラクタル;熱核;自己相似集合;パーコレーション;調和関数;エネルギー測度;タイリング;確率論;力学系;調和解析, Fractal;heat kerenl;self-similar set;percolation;harmonic function;energy measure;tiling
      • 多変数複素力学系とフラクタル上のラプラシアンのスペクトル分布の接点
        Grant-in-Aid for Exploratory Research
        Kyoto University
        木上 淳
        Project Closed
        自己相似集合;ラプラシアン;スペクトル;力学系;フラクタル;拡散過程;多変数複素力学系
      • INteraction between probability and analysis on disordered media
        Grant-in-Aid for Scientific Research (C)
        KYOTO UNIVERSITY
        Takashi KUMAGAI
        Project Closed
        複雑な系;熱核;ナッシュ不等式;放物型ハルナック不等式;ベソフ空間;飛躍型確率過程;ホモジナイゼーション;ソボレフ空間;拡散過程;無限次元空間, Disordered media;Heat kernel;Nash Inequality;Parabolic Harnack inequality;Besov space;Jump-type stochastic process;Homogenization
      • Mathematical Fundation of Fractals
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY
        Jun KIGAMI
        Project Closed
        フラクタル;熱核;複素力学;タイリング;ラプラシアン;自己相似集合;拡散過程;ジュリア集合, Fractal;Dynamical System;Self-similar set;Tiling;Laplacian;heat kernel
      • 逆問題の解の再構成手法の確立
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        磯 祐介
        Project Closed
        逆問題;非適切問題;逆解析;再構成手法;数値解析;多倍長数値計算;Tikhonov正則化法
      • Research on vibrations and diffusions on fractals
        Grant-in-Aid for Scientific Research (C)
        KYOTO UNIVERSITY
        Jun KIGAMI
        Project Closed
        フラクタル;自己相似集合;ラプラシアン;拡散過程;Dirichlet form;熱核;漸近挙動;熱方程式;自己相似, fractals;self-similar sets;Laplacian;diffusion;Dirichlet form;heat kernel;asymptotic behavior
      • Developments of Analysis on Fractals
        Grant-in-Aid for Scientific Research (B).
        KYOTO UNIVERSITY
        Masanod HINO
        Project Closed
        フラクタル;拡散過程;確率過程;マルチフラクタル;ハウスドルフ次元;熱核;極限定理;ベソフ空間;固有値分布;ランダムウォーク, Fractal;Diffusion Process;Stochastic Process;Multi-fractal;Hausdorff dimension;Heat kernel;Limit theorem;Besov space
      • フラクタル理論と超越数論の組織的研究
        Grant-in-Aid for Exploratory Research
        Kyoto University
        畑 政義
        Project Closed
        フラクタル;自己相似集合;超越数論;力学系;神経回路モデル;ラプラシアン;スペクトル;リュエル作用素;Caianiello方程式;マーラー関数;パスプランニング;Ecalle理論;Dirichlet形式;動的パターン投影法
      • フラクタル上の解析学の基礎
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Kyoto University
        木上 淳
        Project Closed
        フラクタル;自己相似集合;ラプラシアン;スペクトル;固有関数;熱核
      • Microlocal analysis for operators with infinite degeneracy
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY
        Yoshinori MORIMOTO
        Project Closed
        準楕円性;Egorov型;平滑化効果;ホイヘンス原理;Gevrey指数;Ruelle作用素;スペクトル;鞍部点法;準惰性円;擬微分作用素;Gevrey class;Wick calculus.;Navies-Stokes;再生関数;不動点;ガウス算術平均;退化楕円型;Banach scale;吸引領域;サドル法;自己相似;固有値, Hypoellipticity;Egorov type;smoothing effect;Huyghens principle;Gevrey order;Ruelle operator;spectre;saddle method
      • フラクタル領域上の解析学の基礎
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Kyoto University
        木上 淳
        Project Closed
        フラクタル;解析学;自己相似集合;ラプラシアン
      • 主要型擬分作用素の正値性と局所可解性
        Grant-in-Aid for General Scientific Research (C)
        Kyoto University
        森本 芳則
        Project Closed
        主要型擬微分作用素;無限次退化;Sehrodinger型;超局所的;シンプレクティック;正値性;余接空間
      • 漸近解析的方法による非線形問題の研究
        Grant-in-Aid for General Scientific Research (C)
        Kyoto University
        高崎 金久
        Project Closed
        漸近展開;非線形可積分系;非線形波動;非線形力学系;確率過程;フラクタル
      • Representation and analysis on symmetric spaces
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY
        Toshihiko MATSUKI
        Project Closed
        対称空間;表現;リー群;球関数;ヘッケ環;量子群;ゼータ関数;表現論, representations;symmetric spaces;Lie groups;Spherical functions;Hecke algebras;quantum groups;zeta functions
      • フラクタル上のラプラシアンとその固有関数の性質
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Kyoto University
        木上 淳
        Project Closed
        フラクタル;自己相似集合;ラプラシアン;固有値
      • フラクタル上のラプラシアンとそのスペクトル分析
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Osaka University
        木上 淳
        Project Closed
        フラクタル;ラプラシアン;スペクトル;固有値
      • Co-operative Research of Probability Theory
        Grant-in-Aid for Co-operative Research (A)
        Osaka University
        Masatoshi FUKUSHIMA
        Project Closed
        確率解析;マリアバン解析;フラクタル解析;ディリクレ形式;安定確率場;量子カオス;確率制御;ファイナンス理論;正則関数;符号化定理;拡散過程;ウィナ-・リ-マン多様体;ジュリア集合;エルゴ-ド的流;ディリクレ形成, stochastic analysis;Malliavin calculus;analysis on fractals;Dirichlet forms;stable random field;quantum chaos;stochastic control;finance theory
      list
        Last Updated :2022/05/14

        Education

        Teaching subject(s)

        • From Apr. 2011, To Mar. 2012
          応用解析学セミナーⅠ
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          応用解析学セミナーⅡ
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          複雑系科学特殊研究1
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          複雑系科学特殊研究Ⅱ
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          応用解析学特別セミナーA
          Spring, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          応用解析学特別セミナーB
          Fall, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          複雑系科学特別セミナー
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          Seminar on Nonlinear Mathematics
          Fall, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          解析学II
          Fall, 理学部
        • From Apr. 2011, To Mar. 2012
          数学講究
          Year-long, 理学部
        • From Apr. 2011, To Mar. 2012
          Nonlinear Mathematics
          Spring, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Differential Equations
          Spring, 理学部
        • From Apr. 2012, To Mar. 2013
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Seminar on Applied Analysis, Advanced B
          Fall, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Seminar on Applied Analysis and Complex Dynamical Systems, Advanced
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Nonlinear Mathematics
          Spring, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Seminar on Nonlinear Mathematics
          Fall, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Advanced Analysis III
          Fall, 理学部
        • From Apr. 2013, To Mar. 2014
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2013, To Mar. 2014
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Topics in Nonlinear Analysis A
          Fall, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Seminar on Applied Analysis, Advanced A
          Spring, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Seminar on Applied Analysis, Advanced B
          Fall, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Seminar on Applied Analysis and Complex Dynamical Systems, Advanced
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Nonlinear Mathematics
          Spring, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Linear Algebra B
          Fall, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Exercises in Analysis I
          Spring, 理学部
        • From Apr. 2014, To Mar. 2015
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Topics in Nonlinear Analysis B
          Fall, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Applied Analysis, Advanced A
          Spring, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Applied Analysis, Advanced B
          Fall, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Applied Analysis and Complex Dynamical Systems, Advanced
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Nonlinear Mathematics
          Spring, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Linear Algebra B
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Advanced Calculus II - Differential Equations
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Applied Analysis, Advanced A
          Spring, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Applied Analysis, Advanced B
          Fall, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2015, To Mar. 2016
          Seminar on Applied Analysis and Complex Dynamical Systems, Advanced
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Analysis I
          Spring, 理学部
        • From Apr. 2015, To Mar. 2016
          Nonlinear Mathematics
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Topics in Nonlinear Analysis A
          Fall, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Applied Analysis, Advanced A
          Spring, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Applied Analysis, Advanced B
          Fall, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Topics in Applied Analysis II
          Fall, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Advanced Linear Algebra
          Spring, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Seminar on Applied Analysis and Complex Dynamical Systems, Advanced
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Exercises in Analysis I
          Spring, 理学部
        • From Apr. 2017, To Mar. 2018
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Applied Analysis, Advanced A
          Spring, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Applied Analysis, Advanced B
          Fall, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Topics in Applied Analysis II
          Fall, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2017, To Mar. 2018
          Seminar on Mathematical Sciences , Advanced
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Advanced Study in Mathematical Sciences II
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Advanced Study in Mathematical Sciences I
          Year-long, 情報学研究科
        • From Apr. 2018, To Mar. 2019
          Advanced Calculus II - Differential Equations
          Fall, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2018, To Mar. 2019
          Topics in Applied Analysis II
          Fall, 情報学研究科
        • From Apr. 2018, To Mar. 2019
          Exercises in Analysis I
          Spring, 理学部
        • From Apr. 2018, To Mar. 2019
          Topics in Nonlinear Analysis B
          Fall, 情報学研究科
        • From Apr. 2019, To Mar. 2020
          Advanced Calculus II - Differential Equations
          Fall, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2019, To Mar. 2020
          Topics in Applied Analysis II
          Fall, 情報学研究科
        • From Apr. 2019, To Mar. 2020
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2019, To Mar. 2020
          Exercises in Analysis I
          Spring, 理学部
        • From Apr. 2019, To Mar. 2020
          Topics in Nonlinear Analysis A
          Fall, 情報学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2020, To Mar. 2021
          Advanced Linear Algebra
          Spring, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Exercises in Analysis II
          Fall, 理学部
        • From Apr. 2020, To Mar. 2021
          Topics in Nonlinear Analysis B
          Fall, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Applied Analysis 2
          Year-long, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Topics in Applied Analysis II
          Fall, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Special study course (Mathematical Science)
          Year-long, 理学部
        • From Apr. 2021, To Mar. 2022
          Advanced Linear Algebra
          Spring, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Topics in Nonlinear Analysis A
          Fall, 情報学研究科
        list
          Last Updated :2022/05/14

          Administration

          School management (title, position)

          • From 01 Apr. 2009, To 31 Mar. 2011
            全学共通教育システム委員会 委員
          • From 01 Apr. 2016, To 31 Mar. 2018
            教育研究評議会 評議員
          • From 01 May 2017, To 31 Mar. 2019
            国際高等教育院 企画評価専門委員会 データ科学部会 委員
          • From 01 May 2017, To 31 Mar. 2019
            国際高等教育院 基盤企画評価専門委員会 データ科学部会 委員
          • From 01 Apr. 2018
            大学評価委員会 委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            国際高等教育院 基盤企画評価専門委員会 データ科学部会 委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            国際高等教育院 企画評価専門委員会 データ科学部会 委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            国際高等教育院 基盤企画評価専門委員会 データ科学部会 委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            国際高等教育院 企画評価専門委員会 データ科学部会 委員
          • From 01 Apr. 2018, To 31 Mar. 2020
            大学評価委員会 委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            国際高等教育院 基盤企画評価専門委員会 データ科学部会 委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            国際高等教育院 企画評価専門委員会 データ科学部会 委員

          Faculty management (title, position)

          • From 01 Apr. 2011, To 31 Mar. 2015
            財務委員会委員長
          • From 01 Apr. 2012, To 31 Mar. 2013
            情報公開・個人情報保護WG委員長
          • From 01 Apr. 2013, To 31 Mar. 2014
            専攻長会議
          • From 01 Apr. 2013, To 31 Mar. 2014
            情報セキュリティ委員会委員
          • From 01 Apr. 2015, To 31 Mar. 2016
            財務委員会副委員長
          • From 01 Apr. 2016, To 31 Mar. 2017
            財務委員会委員
          • From 01 Apr. 2016, To 31 Mar. 2017
            企画委員会委員長
          • From 01 Apr. 2016, To 31 Mar. 2017
            第3期中期目標期間部局行動計画作成WG委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            企画委員会委員長
          • From 01 Apr. 2017, To 31 Mar. 2018
            財務委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            情報セキュリティ委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            専攻長
          • From 01 Apr. 2018, To 31 Mar. 2019
            財務委員会委員長
          • From 01 Apr. 2019, To 31 Mar. 2022
            副研究科長
          • From 01 Apr. 2019, To 31 Mar. 2020
            財務委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2022
            評価・広報委員会委員長
          • From 01 Apr. 2019, To 31 Mar. 2020
            情報セキュリティ委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2022
            財務委員会副委員長

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