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Hino, Masanori

Graduate School of Science, Division of Mathematics and Mathematical Sciences Professor

Hino, Masanori
list
    Last Updated :2022/10/01

    Basic Information

    Faculty

    • 理学部

    Professional Memberships

    • 日本数学会

    Academic Degree

    • 修士(理学)(京都大学)
    • 博士(理学)(京都大学)

    Research History

    • From Apr. 2016, To Present
      Kyoto University, Department of Mathematics, Professor
    • From Apr. 2013, To Mar. 2016
      Osaka University, Graduate School of Engineering Science, Professor
    • From Apr. 2007, To Mar. 2013
      Kyoto University, Graduate School of Informatics, Associate Professor
    • From Apr. 2002, To Mar. 2007
      Kyoto University, Graduate School of Informatics, Associate Professor
    • From Oct. 1998, To Mar. 2002
      Kyoto University, Graduate School of Informatics, Lecturer
    • From Apr. 1998, To Sep. 1998
      Kyoto University, Graduate School of Informatics, Research Associate
    • From Feb. 1998, To Apr. 1998
      Kyoto University, Department of Mathematics, Research Associate
    • From Apr. 1995, To Jan. 1998
      日本学術振興会特別研究員, (DC1)

    Language of Instruction

    • English

    ID,URL

    Website(s) (URL(s))

    researchmap URL

    list
      Last Updated :2022/10/01

      Research

      Research Topics, Overview of the research

      • Research Topics

        Probability theory
      • Overview of the research

        Research interest: Probability theory, in particular, stochastic analysis on state spaces with atypical structures such as infinite dimensional spaces and fractals.

      Research Interests

      • 確率論
      • Probability theory

      Research Areas

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

      Papers

      • Singularity of Energy Measures on a Class of Inhomogeneous Sierpinski Gaskets
        Masanori Hino; Madoka Yasui
        Dirichlet Forms and Related Topics. IWDFRT 2022, Springer Proceedings in Mathematics & Statistics, Sep. 2022, Peer-reviewed, Invited
      • Pathwise Uniqueness and Non-explosion Property of Skorohod SDEs with a Class of Non-Lipschitz Coefficients and Non-smooth Domains
        Masanori Hino; Kouhei Matsuura; Misaki Yonezawa
        Journal of Theoretical Probability, Dec. 2021, Peer-reviewed
      • Asymptotics of Integrals of Betti Numbers for Random Simplicial Complex Processes
        Masanori Hino
        Fractal Geometry and Stochastics VI, Mar. 2021, Peer-reviewed, Invited
      • Asymptotic behavior of lifetime sums for random simplicial complex processes
        HINO Masanori; KANAZAWA Shu
        J. Math. Soc. Japan, Jul. 2019, Peer-reviewed
      • An Integrated Version of Varadhan's Asymptotics for Lower-Order Perturbations of Strong Local Dirichlet Forms
        Masanori Hino; Kouhei Matsuura
        POTENTIAL ANALYSIS, Apr. 2018, Peer-reviewed
      • Indices of Dirichlet forms
        Masanori Hino
        Sugaku Expositions, 2017, Invited
      • Some properties of energy measures on Sierpinski gasket type fractals
        Masanori Hino
        J. Fractal Geom., vol. 3 (2016), 245-263, 2016, Peer-reviewed
      • Functions of locally bounded variation on Wiener spaces
        Masanori Hino
        Festschrift Masatoshi Fukushima: In Honor of Masatoshi Fukushima's Sanju, Jan. 2015, Peer-reviewed, Invited
      • Geodesic Distances and Intrinsic Distances on Some Fractal Sets
        Masanori Hino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Jun. 2014, Peer-reviewed
      • ディリクレ形式における指数
        日野 正訓
        数学, 2014, Peer-reviewed, Invited
      • Measurable Riemannian structures associated with strong local Dirichlet forms
        Masanori Hino
        MATHEMATISCHE NACHRICHTEN, Oct. 2013, Peer-reviewed
      • Upper estimate of martingale dimension for self-similar fractals
        Masanori Hino
        PROBABILITY THEORY AND RELATED FIELDS, Aug. 2013, Peer-reviewed
      • Dirichlet spaces on H-convex sets in Wiener space (vol 135, pg 667, 2011)
        Masanori Hino
        BULLETIN DES SCIENCES MATHEMATIQUES, Jul. 2013
      • Dirichlet spaces on H-convex sets in Wiener space
        Masanori Hino
        BULLETIN DES SCIENCES MATHEMATIQUES, Sep. 2011, Peer-reviewed
      • Fractional order Taylor's series and the neo-classical inequality
        Keisuke Hara; Masanori Hino
        BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Jun. 2010, Peer-reviewed
      • Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space
        Masanori Hino
        JOURNAL OF FUNCTIONAL ANALYSIS, Mar. 2010, Peer-reviewed
      • Energy measures and indices of Dirichlet forms, with applications to derivatives on some fractals
        Masanori Hino
        PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Jan. 2010, Peer-reviewed
      • Martingale dimensions for fractals
        Masanori Hino
        ANNALS OF PROBABILITY, May 2008, Peer-reviewed
      • Reflecting Ornstein-Uhlenbeck processes on pinned path spaces
        Masanori Hino; Hiroto Uchida
        Proceedings of RIMS Workshop on Stochastic Analysis and Applications, 111-128, RIMS Kokyuroku Bessatsu, B6, Res. Inst. Math. Sci. (RIMS), Kyoto, 2008, 2008, Peer-reviewed
      • On singularity of energy measures on self-similar sets II
        Masanori Hino; Kenji Nakahara
        BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Dec. 2006, Peer-reviewed
      • A trace theorem for Dirichlet forms on fractals
        Masanori Hino; Takashi Kumagai
        JOURNAL OF FUNCTIONAL ANALYSIS, Sep. 2006, Peer-reviewed
      • Small-time asymptotic estimates in local Dirichlet spaces
        Teppei Ariyoshi; Masanori Hino
        ELECTRONIC JOURNAL OF PROBABILITY, Oct. 2005, Peer-reviewed
      • On singularity of energy measures on self-similar sets
        Masanori Hino
        PROBABILITY THEORY AND RELATED FIELDS, Jun. 2005, Peer-reviewed
      • Integral Representation of Linear Functionals on Vector Lattices and its Application to BV Functions on Wiener Space
        Masanori Hino
        Stochastic Analysis and Related Topics in Kyoto: In honour of Kiyosi Itô, 2004, Peer-reviewed, Invited
      • Small-time Gaussian behavior of symmetric diffusion semigroups
        M Hino; JA Ramirez
        ANNALS OF PROBABILITY, Jul. 2003, Peer-reviewed
      • On Dirichlet spaces over convex sets in infinite dimensions
        Masanori Hino
        Contemporary Mathematicsy, 2003, Peer-reviewed, Invited
      • On short time asymptotic behavior of some symmetric diffusions on general state spaces
        Masanori Hino
        POTENTIAL ANALYSIS, May 2002, Peer-reviewed
      • On the space of BV functions and a related stochastic calculus in infinite dimensions
        Masatoshi Fukushima; Masanori Hino
        JOURNAL OF FUNCTIONAL ANALYSIS, Jun. 2001, Peer-reviewed
      • Exponential decay of positivity preserving semigroups on L-P
        Masanori Hino
        OSAKA JOURNAL OF MATHEMATICS, Sep. 2000, Peer-reviewed
      • Existence of invariant measures for diffusion processes on a Wiener space
        Masanori Hino
        OSAKA JOURNAL OF MATHEMATICS, Sep. 1998, Peer-reviewed
      • Convergence of non-symmetric forms
        Masanori Hino
        JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Jul. 1998, Peer-reviewed
      • Spectral properties of Laplacians on an abstract Wiener space with a weighted Wiener measure
        Masanori Hino
        JOURNAL OF FUNCTIONAL ANALYSIS, Jul. 1997, Peer-reviewed
      • A remark on perturbation of hyperbounded semigroups for vector valued functions
        Masanori Hino
        JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Feb. 1997, Peer-reviewed
      • ON EQUIVALENCE OF PRODUCT MEASURES BY RANDOM TRANSLATION
        Masanori HINO
        JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Dec. 1994, Peer-reviewed

      Misc.

      • Estimate of martingale dimension revisited
        Masanori Hino
        数理解析研究所講究録, Apr. 2021, Invited
      • Sierpinski gasket上のエネルギー密度関数の不連続性
        日野正訓; 伊縫寛治
        数理解析研究所講究録, Jul. 2019, Invited
      • 楠岡成雄氏の日本学士院賞受賞によせて
        日野 正訓
        数学通信, Aug. 2018, Invited
      • 偶然現象の数学的定式化について
        日野 正訓
        数理科学, Oct. 2017, Invited
      • 幾何学と確率論
        日野 正訓
        数理科学, Jun. 2016, Invited
      • フラクタル上の確率解析
        日野 正訓
        生産と技術, 2014, Invited
      • 桒田和正氏の文部科学大臣表彰若手科学者賞受賞に寄せて
        日野 正訓
        数学通信, Aug. 2013, Invited
      • Differential-like structures associated with strong local Dirichlet forms
        日野 正訓
        数理解析研究所講究録, Jul. 2013, Invited
      • 書評: 確率論と私
        日野 正訓
        システム/制御/情報: システム制御情報学会誌, Dec. 2011, Invited
      • フラクタル
        日野正訓
        数学教育 2011年2月号, Feb. 2011, Invited

      Presentations

      • Singularity of energy measures on a class of inhomogeneous Sierpinski gaskets
        日野正訓; 安井円香
        日本数学会2021年度秋季総合分科会, 14 Sep. 2021
      • Estimate of martingale dimension revisited
        HINO Masanori
        Research on the Theory of Random Dynamical Systems and Fractal Geometry, 31 Aug. 2019, Invited
      • Asymptotics of integrated Betti numbers for random simplicial complex processes
        HINO Masanori
        Fractal Geometry and Stochastics 6, 03 Oct. 2018, Invited
      • Some properties of energy measures on the Sierpinski gasket
        HINO Masanori
        2nd Hong Kong/Kyoto Workshop on ``Fractal Geometry and Related Areas'', 09 May 2018, Invited
      • 確率論・幾何学・グラフ理論の交叉点
        日野 正訓
        シンポジウム:先端数理科学の目指すもの, 30 Mar. 2018, Invited
      • ランダム複体過程における生存時間和の漸近挙動
        日野 正訓
        ディリクレ形式と対称マルコフ過程, 11 Nov. 2017, Invited
      • Asymptotic behavior of lifetime sums for random simplicial complex processes
        HINO Masanori
        Japanese-German Open Conference on Stochastic Analysis 2017, 05 Sep. 2017
      • An integrated version of Varadhan's asymptotics for lower order perturbations of strong local Dirichlet forms
        HINO Masanori
        Workshop ``Dirichlet forms and their geometry'', 23 Mar. 2017, Invited
      • Integrated version of Varadhan's asymptotics for lower order perturbations of strong local Dirichlet forms
        HINO Masanori
        研究集会「確率解析とその周辺」, 11 Nov. 2016
      • Integrated version of Varadhan's asymptotics for first-order perturbations of strong local Dirichlet forms
        HINO Masanori
        The 8th International Conference on Stochastic Analysis and Its Applications, 13 Jun. 2016, Invited
      • マルチンゲール次元の評価に関する一注意
        日野 正訓
        研究集会「マルコフ過程とその周辺」, 09 Jan. 2016
      • On distribution of energy measures on the Sierpinski gasket
        HINO Masanori
        Geometry and Probability, 10 Nov. 2015, Invited
      • Toward stochastic differential calculus based on measurable Riemannian structures
        HINO Masanori
        Stochastic Analysis, 10 Sep. 2015, Invited
      • On the distribution of energy measures on Sierpinski gasket type fractals
        HINO Masanori
        International Conference on Stochastic Analysis and Relataed Topics, 05 Aug. 2015, Invited

      Awards

      • 04 Oct. 2001
        The Mathematical Society of Japan, Takebe Senior Prize of the Mathematical Society of Japan
      • 30 Sep. 2011
        日本数学会解析系5分科会, The 10th Analysis Prize
      • 24 Feb. 2016
        Japan Society for the Promotion of Science, 12th JSPS Prize
      • 08 Jul. 2016
        London Mathematical Society, Senior Berwick Prize
      • 17 Mar. 2020
        The Mathematical Society of Japan, The 2020 JMSJ Outstanding Paper Prize

      External funds: Kakenhi

      • 単体複体におけるランダムネスと幾何構造のインタラクション
        Grant-in-Aid for Challenging Research (Exploratory)
        Medium-sized Section 12:Analysis, applied mathematics, and related fields
        Kyoto University
        日野 正訓
        From 28 Jun. 2019, To 31 Mar. 2022, Granted
        単体複体;パーシステントホモロジー;ランダムグラフ;ランダムネス;幾何構造
      • ディリクレ形式に基づく確率解析の研究―空間構造と特異性の解明―
        Grant-in-Aid for Scientific Research (A)
        Medium-sized Section 12:Analysis, applied mathematics, and related fields
        Kyoto University
        日野 正訓
        From 01 Apr. 2019, To 31 Mar. 2024, Granted
        ディリクレ形式;確率解析;マルコフ過程;フラクタル;マルコフ課程
      • 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
      • Development of probability theory and geometry based on local structures induced by Dirichlet forms
        Grant-in-Aid for Scientific Research (B)
        Kyoto University;Osaka University
        Masanori Hino
        From 01 Apr. 2015, To 31 Mar. 2019, Project Closed
        確率論;ディリクレ形式;局所構造;拡散過程;確率過程;幾何構造;マルコフ過程;幾何学
      • Toward a foundation of leafwise stochastic calculus on foliated spaces
        Grant-in-Aid for Challenging Exploratory Research
        Osaka University
        Takehiko Morita
        From 01 Apr. 2014, To 31 Mar. 2017, Project Closed
        確率解析;ブラウン運動;葉層付き空間;各葉拡散過程;中心極限定理;混合型中心極限定理
      • 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
      • Stochastic analysis of Markov processes by Dirichlet forms and its applications
        Grant-in-Aid for Scientific Research (A)
        Tohoku University
        Masayoshi Takeda
        From 01 Apr. 2014, To 31 Mar. 2018, Project Closed
        対称マルコフ過程;ディリクレ形式;測度空間上の確率解析;準定常分布;エルゴード定理;測度距離空間上の幾何解析;特異空間上の拡散過程;無限次元確率解析;測度距離空間;無限次元空間上の確率解析;飛躍型マルコフ過程;ラフパス解析;マルコフ過程;幾何解析;フラクタル;測度距離空間上の解析;ファインマン・カッツの公式;特異空間上の幾何解析
      • 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
      • Study of local structures and noises of symmetric diffusion processes associated with Dirichlet forms
        Grant-in-Aid for Scientific Research (C)
        Osaka University;Kyoto University
        Masanori HINO
        From 01 Apr. 2012, To 31 Mar. 2015, Project Closed
        確率解析;Dirichlet形式;対称拡散過程;局所構造;ノイズ;フラクタル;ウィナー空間;エネルギー測度;ディリクレ形式;無限次元空間;拡散過程
      • Stochastic Analysis on infinite dimensional spaces
        Grant-in-Aid for Scientific Research (B)
        Tohoku University
        Shigeki Aida
        From 01 Apr. 2012, To 31 Mar. 2016, Project Closed
        確率解析;無限次元解析;ラフパス;確率微分方程式;スペクトル;場の量子論;無限次元空間;準古典極限;スペクトルギャップ;大偏差原理;反射境界条件;スコロホッド方程式
      • 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
      • Development of stochastic analysis on spaces with anomalous structures
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        Masanori HINO
        From 01 Apr. 2009, To 31 Mar. 2012, Project Closed
        確率解析;Dirichlet形式;フラクタル;無限次元空間;対称拡散過程;拡散過程;Riemann構造;各点指数;内在的距離;測地距離;Wiener空間;Sobolev空間;微分構造;マルチンゲール次元;自己相似集合;ラフパス理論;新古典不等式
      • Infinite dimensional stochastic analysis and geometry
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Ichiro SHIGEKAWA
        From 01 Apr. 2009, To 31 Mar. 2014, Project Closed
        マルコフ過程;エルゴード性;マルコフ半群;生成作用素のスペクトル;対数 Sobolev 不等式;超縮小性;確率解析;半群;対数ソボレフ不等式;スペクトルギャップ;スペクトル;大数Sobolev不等式;マルコフ性;生成作用素の一意性;凸集合の保存;非対称拡散過程;リーマン多様体;超過函数;Brown 運動;Wiener空間;消散的半群;Riemann多様体;非対称半群;Dirichlet形式
      • New development of infinite dimensional stochastic analysis and its applications
        Grant-in-Aid for Scientific Research (A)
        Tohoku University;Osaka University
        Shigeki AIDA
        From 01 Apr. 2009, To 31 Mar. 2012, Project Closed
        確率解析;場の量子論;ラフパス解析;ループ空間;準古典極限;最適輸送写像;確率測度の幾何学;処罰問題;ループ群;確率微分方程式;アレクサンドロ;超縮小性;アレクサンドロフ空間;新古典不等式
      • Aspects of Mathematics on Fractals
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Jun KIGAMI
        From 01 Apr. 2008, To 31 Mar. 2011, 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
      • Theory of stochastic analysis and its applications
        Grant-in-Aid for Scientific Research (A)
        Yamagata University;Nagoya University
        Hiroyuki MATSUMOTO
        From 01 Apr. 2007, To 31 Mar. 2011, Project Closed
        確率解析;確率微分方程式;マリアバン解析;ラプラシアン;拡散過程;熱核;流体力学的極限;数理ファイナンス;ディリクレ形式;ベッセル過程;安定過程;多様体;一般化逆ガウス分布;大偏差原理;マルコフ連鎖;フラクタル;第一固有値;ウィナー空間;ラフパス;シュレディンガー作用素;数値解析
      • Development of stochastic analysis toward to organic connections between local structures and global structures
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        Masanori HINO
        From 01 Apr. 2006, To 31 Mar. 2009, Project Closed
        確率解析;無限次元空間;フラクタル;自己相似集合;ディリクレ形式;抽象ウィナー空間;有界変動関数;エネルギー測度;Dirichlet形式;拡散過程;指数;マルチンゲール次元;微分構造;抽象Wiener空間;Hausdorff測度;部分積分公式;Skorohod表現;対称拡散過程;経路空間;Skorokhod表現
      • Stochastic analysis and semi-classical problems on infinite dimensional spaces
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Shigeki AIDA
        From 01 Apr. 2006, To 31 Mar. 2009, Project Closed
        準古典極限;確率解析;シュレーディンガー作用素;場の量子論;ループ空間無限次元解析;アダマール変分;ラフパス解;境界条件付きHodge-Kodaira型作用素;対数ソボレフ不等式;ループ空間;無限次元解析;ラフパス解析;繰り込み
      • Developments of the theory of stochastic processes and real analysis on disordered media
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Takashi KUMAGAI
        From 01 Apr. 2006, To 31 Mar. 2009, 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
        From 01 Apr. 2005, To 31 Mar. 2007, 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
      • Stochastic analysis in infinite dimensional spaces
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Ichiro SHIGEKAWA
        From 01 Apr. 2005, To 31 Mar. 2009, Project Closed
        Wiener 空間;Brown 運動;拡散過程;対数Sobolev 不等式;スペクトルギャップ;格子スピン系;Hodge-Kodaira 作用素;Hodge-Kodaira作用素;超縮小性;非対称半群;リーマン多様体;不変測度;ブラウン運動;確率解析;Wiener空間;スペクトルの跳び;Witten Laplacian;Wiener測度;対数Sobolev不等式;Dirichlet形式
      • Synthetic Research of Probability Theory
        Grant-in-Aid for Scientific Research (A)
        Osaka University
        Hiroshi SUGITA
        From 01 Apr. 2005, To 31 Mar. 2008, Project Closed
        確率論;確率解析;確率過程;極限定理;エルゴード理論;モンテカルロ法;確率過程論;数理ファイナンス;マリアヴァン解析;ランダム分割, Probability theor;Stochastic analysis;Stochastic Process;Limit theorem;Ereodic theory;Monte Carlo method
      • 無限次元空間における確率解析の展開
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        日野 正訓
        From 01 Apr. 2003, To 31 Mar. 2006, Project Closed
        無限次元空間;パス空間;反射壁拡散過程;Ornstein-Uhlenbeck過程;Skorohod表元;Dirichlet形式;有界変動関数;BV関数;Markov半群;熱方程式;漸近挙動;内在距離;自己相似集合;トレース定理;Besov空間;内在的距離;拡散過程;フラクタル;Sierpinski carpet;エネルギー測度
      • Stochastic analysis and semi-classical problem in infinite dimensional spaces
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Shigeki AIDA
        From 01 Apr. 2003, To 31 Mar. 2006, Project Closed
        準古典極限;確率解析;ラフパス解析;Wittenラプラシアン;対数ソボレフ不等式;径路積分;場の量子論;ループ空間;径路積分表示;推移確率;シュレーディンガー作用素;ラプラスの方法;弱ポアンカレ不等式;ラブラスの方法, Semi-classical limit;Stochastic analysis;Rough path analysis;Witten Laplacian;Log-Sobolev inequality;Path integral;Quantum_field theory
      • INteraction between probability and analysis on disordered media
        Grant-in-Aid for Scientific Research (C)
        KYOTO UNIVERSITY
        Takashi KUMAGAI
        From 01 Apr. 2002, To 31 Mar. 2004, 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
      • Integrated research of Probability Theory
        Grant-in-Aid for Scientific Research (A)
        Kyoto University
        Ichiro SHIGEKAWA
        From 01 Apr. 2002, To 31 Mar. 2005, Project Closed
        確率解析;ブラウン運動;Wiener空間;対数Sobolev不等式;スペクトルの跳び;Schrodinger作用素;Littlewood-Paley不等式;Riemann多様体;半群の優評価;Witten Laplacian;格子スピン系;確立解析;エントロピー;交叉関係;スカラーポテンシャル, Stochastic analysis;Brownian motion;Wiener space;logarithmic Sobolev inequality;spectral gap;Schrodinger operator;Littlewood-Paley inequality;Riemannian manifold
      • 無限次元空間上の確率解析
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        日野 正訓
        From 01 Apr. 2001, To 31 Mar. 2003, Project Closed
        積分表現;表現定理;スムーズ測度;無限次元空間;抽象ウィーナー空間;BV関数;実補間;ポテンシャル論;漸近挙動;対称拡散過程;ディリクレ形式;BV函数;凸領域
      • Aspects of large deviation principles
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Youichiro TAKAHASHI
        From 01 Apr. 2001, To 31 Mar. 2004, Project Closed
        確率過程;大偏差原理;フェルミオン過程;フレドホルム行列式;ウィーナー汎関数;エントロピー;漸近挙動;熱核;ウイーナー汎関数;関数力学系, stochastic process;large deviation;fermion point process;Fredholm determinant;Wiener functional
      • 複雑度の高い空間における確率解析の研究
        Grant-in-Aid for Exploratory Research
        Kyoto University
        若野 功
        From 01 Apr. 2000, To 31 Mar. 2002, Project Closed
        複雑度;確率解析;フラクタル;無限次元空間;漸近挙動;ノイズ;Dirichlet形式;半群;対称拡散過程;確率過程;ループ空間;ウィーナー空間;ディリクレ形式
      • Stochastic analysis on loop space
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Shigeki AIDA
        From 01 Apr. 2000, To 31 Mar. 2003, Project Closed
        対数ソボレフ不等式;シュレーディンガー作用素;準古典極限;熱核;ラフパス;シュレーディンガー作用書;準古典的近似;ラプラスの方法;スペクトルギャップ;超縮小性, Logarithmic Sobolev inequality;Schrodinger operator;Semiclassical limit;heat kernel;rough path
      • Analysis of sample paths for stochastic processes
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Takashi KUMAGAI
        From 01 Apr. 1999, To 31 Mar. 2002, Project Closed
        確率過程;サンプルパス;大偏差原理;漸近挙動;フラクタル;Wieher sausage;重複対数の法則;対称拡散過程;Wiener sausage;重複大数の法則;ランダムウォーク;概不変原理;range, Stochastic processes;sample paths;large deviation;asymptotic behavior;fractal;Wiener sausage;law of the iterated logarithm;symmetric diffusion processes
      • Multilateral research of stochastic analysis in infinite dimensional spaces
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY
        Ichiro SHIGEKAWA
        From 01 Apr. 1999, To 31 Mar. 2002, Project Closed
        半群の優評価;半群の交換関係;平方場作用素;Litlewood-Paley不等式;乗法作用素;第2基本形式;Hodge-Kodaira作用素;対数Sobolev不等式;Littlewood-Paley不等式;ブラウン運動;半群の比較;Schrodinger作用素;生成作用素の定義域;Riesz変換;Brown運動;Dirichlet形式;反射壁Brown運動;基本解;準楕円性, semigroup domination;interturning property;square field operator;Littlewood-Paley ineguality;multiplier;second fundamental form;Hodge-Kodaira opoerator;logarithmic Sobolev ineguality
      • スピングラスの確立論的研究
        Grant-in-Aid for Exploratory Research
        Kyoto University
        日野 正訓
        From 01 Apr. 1998, To 31 Mar. 2000, Project Closed
        スピングラス;無限粒子系;パーコレーション;相転移;イジング・モデル;wetting transition;確立モデル;定常分布;確率モデル
      • Developments of Analysis on Fractals
        Grant-in-Aid for Scientific Research (B).
        KYOTO UNIVERSITY
        Masanod HINO
        From 01 Apr. 1998, To 31 Mar. 2001, 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
      list
        Last Updated :2022/10/01

        Education

        Teaching subject(s)

        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Probability Theory A
          0544, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Mathematical Finance
          4135, Fall, Faculty of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Elementary Probability
          N131, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Probability Theory B
          0545, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Probability Theory c
          0448, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Probability Theory a
          0446, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Probability Theory d
          0449, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Forefront of Mathematics and Mathematical Science II
          4139, Fall, Faculty of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Probability Theory b
          0447, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Graduate Lecture in Mathematical Finance
          0410, Fall, Graduate School of Science, 2
        • From Apr. 2011
          Calculus A
          Spring, 全学共通科目
        • From Oct. 2011
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2011
          応用解析学セミナーⅠ
          Year-long, 情報学研究科
        • From Apr. 2011
          応用解析学セミナーⅡ
          Year-long, 情報学研究科
        • From Apr. 2011
          複雑系科学特殊研究I
          Year-long, 情報学研究科
        • From Apr. 2011
          複雑系科学特殊研究Ⅱ
          Year-long, 情報学研究科
        • From Apr. 2011
          応用解析学特別セミナーA
          Spring, 情報学研究科
        • From Oct. 2011
          応用解析学特別セミナーB
          Fall, 情報学研究科
        • 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 A
          Spring, 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
          Probability Theory
          Spring, 理学部
        • From Apr. 2012, To Mar. 2013
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Linear Algebra B
          Fall, 全学共通科目
        • 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. 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. 2016, To Mar. 2017
          Development of Mathematics - from basic to advanced A
          Spring, 理学部
        • From Apr. 2016, To Mar. 2017
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2016, To Mar. 2017
          Seminar on Probability Theory A
          Spring, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Probability Theory B
          Fall, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Probability Theory C
          Spring, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Probability Theory D
          Fall, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Linear Algebra with Exercises A
          Spring, 全学共通科目
        • 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
          Analysis I
          Spring, 理学部
        • From Apr. 2016, To Mar. 2017
          Function Theory of a Complex Variable
          Fall, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Seminar on Probability Theory A
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Probability Theory B
          Fall, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Probability Theory C
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Probability Theory D
          Fall, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Probability Theory
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Probability Theory
          Spring, 理学部
        • From Apr. 2017, To Mar. 2018
          Function Theory of a Complex Variable
          Fall, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Seminar on Probability Theory a
          Spring, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Probability Theory b
          Fall, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Probability Theory c
          Spring, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Probability Theory d
          Fall, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Elementary Probability
          Spring, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Graduate Lecture in Probability Theory
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Probability Theory a
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Probability Theory b
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Probability Theory c
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Probability Theory d
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Probability Theory
          Spring, 理学部
        • From Apr. 2019, To Mar. 2020
          Elementary Probability
          Spring, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Graduate Lecture in Probability Theory
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Probability Theory a
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Probability Theory b
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Probability Theory c
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Probability Theory d
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Elementary Probability
          Spring, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Seminar on Probability Theory a
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Probability Theory b
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Probability Theory c
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Probability Theory d
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Forefront of Mathematics and Mathematical Science II
          Fall, 理学部
        • From Apr. 2021, To Mar. 2022
          Special Lecture on Mathematics 5
          Year-long, 理学部
        • From Apr. 2021, To Mar. 2022
          Special study course (Mathematical Science)
          Year-long, 理学部
        • From Apr. 2021, To Mar. 2022
          Mathematical Statistics
          Fall, 全学共通科目

        Participation in PhD Defense

        • A unifying approach to non-minimal quasi-stationary distributions for one-dimensional diffusions
          YAMATO KOSUKE, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        • Random Matrices and Quantum Information Theory
          F■lix PARRAUD, Graduate School of Science, Sub-chief Examiner
          24 Sep. 2021
        list
          Last Updated :2022/10/01

          Administration

          School management (title, position)

          • From 01 Apr. 2022, To 31 Mar. 2023
            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. 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. 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. 2022, To 31 Mar. 2023
            理学部・教育委員会委員
          • From 01 Apr. 2022, To 31 Mar. 2023
            理学部・教育委員会 入試専門小委員会委員
          • From 01 Apr. 2022, To 31 Mar. 2023
            理学部・教育委員会 少人数担任委員会委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            理学部・教育委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            理学研究科将来計画委員会・プロジェクトスペース委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            理学部・教育委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            特色入試実施委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            理学研究科図書・出版委員会委員長
          • From 01 Apr. 2020, To 31 Mar. 2021
            理学研究科将来計画委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            理学研究科専攻長会議構成員
          • From 01 Apr. 2019, To 31 Mar. 2021
            理学研究科数学・数理解析専攻副専攻長
          • From 01 Apr. 2019, To 31 Mar. 2021
            国際高等教育院企画評価専門委員会分野別部会委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            理学部・教育委員会委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            理学部・教育委員会 少人数担任委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2021
            附属データ科学イノベーション教育研究センター企画評価委員会委員
          list
            Last Updated :2022/10/01

            Academic, Social Contribution

            Committee Memberships

            • From Jul. 2018, To Present
              Associate Editor, "Potential Analysis"
            • From 2016, To Present
              Associate Editor, "Kyoto Journal of Mathematics"
            • From Apr. 2018, To Mar. 2020
              日本数学会統計数学分科会運営委員
            • From Apr. 2012, To 2020
              Associate Editor, "Stochastic Processes and their Applications"
            • From 2017, To 2019
              科学研究費助成事業 第1段審査(書面審査)委員
            • From Apr. 2012, To Mar. 2014
              日本数学会統計数学分科会運営委員
            • From 2012
              解析学賞選考委員会委員
            • From Apr. 2009, To Mar. 2011
              日本数学会京都支部代議員
            • From Apr. 2008, To Mar. 2010
              日本数学会統計数学分科会運営委員
            • From 2008, To 2009
              科学研究費助成事業第1段審査(書面審査)委員
            • From Apr. 2000, To Mar. 2002
              日本数学会統計数学分科会運営委員

            Academic Contribution

            • Open Japanese-German conference on stochastic analysis and applications
              Planning, management, etc.
              The University of Münster, From 19 Sep. 2022, To 23 Sep. 2022
            • International Workshop on Dirichlet Forms and Related Topics
              Planning, management, etc.
              Kansai University, From 22 Aug. 2022, To 26 Aug. 2022
            • Japanese-German Open Conference on Stochastic Analysis 2019
              Planning, management, etc.
              Fukuoka University, From 02 Sep. 2019, To 06 Sep. 2019
            • Japanese-German Open Conference on Stochastic Analysis 2017
              Planning, management, etc.
              TU Kaiserslautern, From 04 Sep. 2017, To 08 Sep. 2017
            • Stochastic Analysis
              Planning, management, etc.
              RIMS, From 07 Sep. 2015, To 11 Sep. 2015
            • International Conference on Stochastic Processes, Analysis and Mathematical Physics
              Planning, management, etc.
              Kansai University, From 25 Aug. 2014, To 29 Aug. 2014
            • The Forth International Conference on Stochastic Analysis and Its Applications
              Planning, management, etc.
              Kansai University, From 30 Aug. 2010, To 03 Sep. 2010
            • The 10th International Conference on Stochastic Analysis and its Applications
              Planning, management, etc.
              From 06 Sep. 2021, To 10 Sep. 2021
            • OLIS–京都大学数学教室保険フォーラム
              Planning, management, etc.
              OLIS,京都大学数学教室, From 22 Jun. 2019
            • 34th Conference on Stochastic Processes and Their Applications
              Planning, management, etc.
              千里ライフサイエンスセンター, From 06 Sep. 2010, To 10 Sep. 2010

            Social Contribution

            • 数学吉田塾シニア@けいはんな
              Lecturer
              京都大学理学研究科数学教室, From 19 Feb. 2010, To 22 Feb. 2010
            • 賢明女子学院第29回数学公開講座
              Lecturer
              賢明女子学院中・高等学校, From 28 Apr. 2007

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