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Sumi Naoya  鷲見 直哉

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SUMI Naoya  鷲見 直哉

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Researcher Number 50301411
Other IDs
Affiliation (Current) 2022: 熊本大学, 大学院先端科学研究部(理), 教授
Affiliation (based on the past Project Information) *help 2016 – 2021: 熊本大学, 大学院先端科学研究部(理), 教授
2015: 熊本大学, 自然科学研究科, 教授
2013: 熊本大学, 自然科学研究科, 教授
2011 – 2012: 東京工業大学, 理工学研究科, 准教授
2010: 東京工業大学, 大学院・理工学研究科, 准教授 … More
2008: 東京工業大学, 大学院理工学研究科, 准教授
2007: 東京工業大学, 大学院・理工学研究科, 准教授
2006: 東京工業大学, 大学院理工学研究科, 助教授
2004 – 2005: 東京工業大学, 大学院・理工学研究科, 助教授
1998 – 2003: 東京都立大学, 理学研究科, 助手
2001: Graduate School of Science, Assistant Professor, 大学院・理学(系)研究科(研究院), 助手
2001: 東京都立大学, 大学院・理学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / Basic analysis / Basic Section 12020:Mathematical analysis-related
Except Principal Investigator
Global analysis / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Global analysis
Keywords
Principal Investigator
解析学 / 力学系 / エルゴード理論 / 極限的直積構造 / 双曲型測度 / エノン写像族 / リャプノフ指数 / SRB測度 / ハウスドルフ次元 / 双曲型速度 / Bernoulli性 … More
Except Principal Investigator
… More 力学系 / 漸近挙動 / カオス / 重調和作用素 / 単極子 / 経済成長方程式 / 確率摂動 / 定常状態 / 景気循環 / 境界条件を持つ拡散過程 / Inada条件 / 確率経済成長方程式 / 2次元拡散過程 / 労働人口の確率過程 / 技術的進歩の確率過程 / 拡散過程の境界条件 / 負の経済成長 / 極限の分類 / 新古典派経済成長理論 / Per-capita capital stock / 成長率 / The stochastic Solow equation / 境界を持つ確率過程 / Jump項を含むSDE / Jump過程の漸近挙動 / 境界を持つ拡散過程 / 自然境界 / Inada条件をみたす生産関数 / Inada条件をみたさない生産関数 / 非線形現象 / 双極子 / 4階偏微分方程式 / 数値解 / 安定点 / Poisson分布 / 無限次元力学系 / 弱い意味での確率積分 / Girsanovの公式 / 4階非線形偏微分方程式 / 確率解 / biharmonic operator / monopole / dipole / absorbing boundary / sticky boundary / reflecting boundary / 微分方程式 / 変分問題 / 散乱理論 / 調和写像 / コーシー問題 / 基本解 / 非線形問題 / Cauchy問題 / differntial equation / asymptotic behavior / variational problem / scattering theory / dynamical system / harmonic map / Cauchy problem / fundamental solution / 重調和擬過程 / 単極子と双極子 / 吸収壁 / 高次の反射壁 / 固定端 / 蝶番端 / スライド端 / 自由端 / BPP / 境界条件 / 構造力学 / 多重極子 / Brown運動 / 高階境界条件 / n階境界条件 / 解析的境界条件 / 反射壁 / 滞留壁 / ランダム・ウォーク / A biharmonic pseudo process / Monopole particle / Dipole particle / The first hitting time / The killing boundary / The reflecting boundary / Self adjoint boundary / The structural ends / 大偏差原理 / マルチフラクタル / 可微分力学系 / マルチフラクタル解析 / 力学系理論 Less
  • Research Projects

    (10 results)
  • Research Products

    (39 results)
  • Co-Researchers

    (17 People)
  •  軌道の存在確率密度をもつ力学系の大域挙動に関する研究Principal Investigator

    • Principal Investigator
      鷲見 直哉
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Kumamoto University
  •  The research on the uniqueness of the density functions for the existence probability of orbitsPrincipal Investigator

    • Principal Investigator
      Sumi Naoya
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kumamoto University
  •  Large deviation principle and multifractal analysis in dynamical systems

    • Principal Investigator
      Chung Yong Moo
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Hiroshima University
  •  Study of probability density for the existence of orbitsPrincipal Investigator

    • Principal Investigator
      SUMI Naoya
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
      Tokyo Institute of Technology
  •  Analysis of Chaotic Phenomena by the Hitting Time Distribution of Dynamical Systems

    • Principal Investigator
      HIRATA Masaki
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Metropolitan University
  •  A stochastic distribution of a business cycle

    • Principal Investigator
      NISHIOKA Kunio
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Chuo University
  •  双曲型測度の極限的直積構造に関する研究Principal Investigator

    • Principal Investigator
      鷲見 直哉
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Institute of Technology
      Tokyo Metropolitan University
  •  The first exit time of a biharmonic pseudo process and its application to the boundary value problems

    • Principal Investigator
      NISHIOKA Kunio
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Metropolitan University
  •  Study of asymptotic behavior of solutions of differential equations

    • Principal Investigator
      TAKAKUWA Shoichiro
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Metropolitan University
  •  Study of path-behaviors of Biharmonic Psuedo Process with boundaries

    • Principal Investigator
      NISHIOKA Kunio
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      TOKYO METOROPOLITAN UNIVERSITY

All 2020 2018 2016 2015 2014 2013 2012 2011 2007 Other

All Journal Article Presentation

  • [Journal Article] The measures of shadowable pseudo-orbits2020

    • Author(s)
      K. Sakai and N. Sumi
    • Journal Title

      Dynamical Systems

      Volume: - Pages: 369-381

    • DOI

      10.1080/14689367.2019.1703907

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03578, KAKENHI-PROJECT-16K05167, KAKENHI-PROJECT-19K03585
  • [Journal Article] Shadowing Property and Invariant Measures Having Full Supports2020

    • Author(s)
      K. Moriyasu, K. Sakai and N. Sumi
    • Journal Title

      Qualitative Theory of Dynamical Systems

      Volume: - Pages: 1-7

    • DOI

      10.1007/s12346-020-00338-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03578, KAKENHI-PROJECT-16K05167, KAKENHI-PROJECT-19K03585
  • [Journal Article] Diffeomorphisms with Shadowable Measures2018

    • Author(s)
      K. Moriyasu, K. Sakai and N. Sumi
    • Journal Title

      Axioms

      Volume: 7 (4) Pages: 1-10

    • DOI

      10.3390/axioms7040093

    • NAID

      120006881393

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05167, KAKENHI-PROJECT-15K04902
  • [Journal Article] On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures II: the low-dimensional case2018

    • Author(s)
      Hirayama Michihiro, Naoya Sumi
    • Journal Title

      Ergodic Theory and Dynamical Systems

      Volume: 38 Pages: 3042-3061

    • DOI

      10.1017/etds.2016.136

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04902, KAKENHI-PROJECT-15K17550
  • [Journal Article] Partial hyperbolicity and specification2016

    • Author(s)
      鷲見直哉,山本謙一郎,P.Varandas
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 144 Pages: 1161-1170

    • DOI

      10.1090/proc/12830

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04902, KAKENHI-PROJECT-24540212
  • [Journal Article] On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures: the constant unstable dimension case.2016

    • Author(s)
      Michihiro Hirayama and Naoya Sumi
    • Journal Title

      Ergodic Theory Dynam. Systems

      Volume: 印刷中 Pages: 1494-1515

    • DOI

      10.1017/etds.2014.124

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24740105, KAKENHI-PROJECT-15K04902, KAKENHI-PROJECT-15K17550
  • [Journal Article] Specification and partial hyperbolicity for flows2015

    • Author(s)
      鷲見直哉,山本謙一郎,P.Varandas
    • Journal Title

      Dynamical Systems: An International Journal

      Volume: 30 Pages: 501-524

    • DOI

      10.1080/14689367.2015.1081380

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04902, KAKENHI-PROJECT-24540212
  • [Journal Article] Measure expansive diffeomorphisms2014

    • Author(s)
      K. Sakai, N. Sumi, K. Yamamoto
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 414 Pages: 546-552

    • DOI

      10.1016/j.jmaa.2014.01.023

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-23540234, KAKENHI-PROJECT-25400105
  • [Journal Article] Hyperbolic measures with transverse intersections of stable and unstable manifolds2013

    • Author(s)
      M. Hirayama, N. Sumi
    • Journal Title

      Discrete and Cont. Dynamic. Systems

      Volume: 33 Pages: 1451-1476

    • DOI

      10.3934/dcds.2013.33.1451

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Journal Article] Hausdorff dimension of saturated sets for diffeomorphisms with dominated splitting2011

    • Author(s)
      鷲見 直哉
    • Journal Title

      RIMS 研究集会報告集

      Volume: 1742 Pages: 1-5

    • Data Source
      KAKENHI-PROJECT-23540234
  • [Journal Article] Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus2007

    • Author(s)
      M. Hirayama and N. Sumi
    • Journal Title

      Hiroshima Math. J. 37

      Pages: 491-517

    • NAID

      110006455964

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540134
  • [Presentation] シナイ-ルエル-ボーエン測度の一意性に対する位相的条件2018

    • Author(s)
      鷲見直哉
    • Organizer
      RIMS 共同研究 力学系-理論と応用の融合-
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] Topological conditions for the uniqueness of Sinai-Ruelle-Bowen measures2018

    • Author(s)
      鷲見直哉
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, National Taiwan University, Republic of China
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] Topological conditions for the uniqueness of Sinai-Ruelle-Bowen measures2018

    • Author(s)
      鷲見直哉
    • Organizer
      エルゴード理論とその周辺
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] Topological conditions for the uniqueness of Sinai-Ruelle-Bowen measures2018

    • Author(s)
      鷲見直哉
    • Organizer
      散逸構造、 カオス 、複雑系 シンポジウム~イリヤ .プリゴジン先生の業績を偲んで~
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] Topological conditions for the uniqueness of Sinai-Ruelle-Bowen measures (ポスター発表)2018

    • Author(s)
      鷲見直哉
    • Organizer
      Dynamical Systems and Related Topics, Universidade Federal da Bahia, Salvador, Brasil
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] 低次元力学系におけるSRB測度の一意性について2016

    • Author(s)
      鷲見 直哉
    • Organizer
      冬の力学系研究集会
    • Place of Presentation
      日本大学軽井沢研修所
    • Year and Date
      2016-01-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540212
  • [Presentation] 低次元力学系に対するSRB 測度の一意性について2016

    • Author(s)
      鷲見直哉
    • Organizer
      2015年度 冬の力学系研究集会
    • Place of Presentation
      日本大学 軽井沢研修所
    • Year and Date
      2016-01-10
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] Topological conditions for the uniqueness of Sinai-Ruelle-Bowen measures2016

    • Author(s)
      鷲見直哉
    • Organizer
      Analysis on Fractals and Graphs Workshop at Tsinghua Sanya International Mathematics Forum
    • Place of Presentation
      Tsinghua Sanya International Mathematics Forum, Sanya, China
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] 低次元力学系に対するシナイ・ルエル・ボウエン測度の一意性について2016

    • Author(s)
      鷲見直哉
    • Organizer
      RIMS研究集会 力学系とその関連分野の連携探索
    • Place of Presentation
      京都大学数学教室
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] Sufficient conditions for the uniqueness of Sinai-Ruelle-Bowen measures2015

    • Author(s)
      Naoya SUMI
    • Organizer
      The Workshop on Measurable and Topological Dynamical Systems
    • Place of Presentation
      NIMS, Daejeon, South Korea
    • Year and Date
      2015-06-30
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540212
  • [Presentation] On the uniqueness of Sinai-Ruelle-Bowen measures for low-dimensional dynamical systems2015

    • Author(s)
      鷲見直哉
    • Organizer
      Sino-Japanese Workshop on Dynamic Systems and Fractals
    • Place of Presentation
      Yinyuan Hotel, Ningbo, China
    • Year and Date
      2015-12-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] Sufficient conditions for the uniqueness of Sinai-Ruelle-Bowen measures2015

    • Author(s)
      鷲見直哉
    • Organizer
      Workshop on Measurable and Topological Dynamical Systems
    • Place of Presentation
      National Institute for Mathematical Sciences, Daejeon, South Korea
    • Year and Date
      2015-06-30
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04902
  • [Presentation] On the uniqueness of Sinai-Ruelle-Bowen measures for low-dimensional dynamical systems2015

    • Author(s)
      Naoya SUMI
    • Organizer
      Sino-Japanese Workshop on Dynamic Systems and Fractals
    • Place of Presentation
      Yinyuan Hotel, Ningbo, China
    • Year and Date
      2015-12-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540212
  • [Presentation] 部分双曲型力学系の大偏差原理2014

    • Author(s)
      鷲見直哉
    • Organizer
      2013年度冬の力学系研究集会
    • Place of Presentation
      広島大学東千田キャンパス
    • Year and Date
      2014-01-10
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] Large deviation for certain systems derived from Anosov2014

    • Author(s)
      鷲見直哉
    • Organizer
      非線形・平衡系シンポジウムII―複雑系とエルゴード理論―
    • Place of Presentation
      早稲田大学染谷記念国際会館
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] Large deviation for certain systems derived from Anosov2014

    • Author(s)
      鷲見直哉
    • Organizer
      非線形・平衡系シンポジウム II-複雑系とエルゴード理論-
    • Place of Presentation
      早稲田大学染谷記念国際会館
    • Year and Date
      2014-03-13
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] On the ergodicity of hyperbolic SRB measures on low-dimensional manifolds2013

    • Author(s)
      鷲見直哉
    • Organizer
      2012年度冬の力学系研究集会
    • Place of Presentation
      日本大学軽井沢研修所
    • Year and Date
      2013-01-11
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] 部分双曲型力学系の大偏差原理2013

    • Author(s)
      鷲見直哉
    • Organizer
      力学系・カオス・複雑系のエルゴード論
    • Place of Presentation
      早稲田大学染谷記念国際会館
    • Year and Date
      2013-08-28
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] Diffeomorphisms preserving hyperbolic SRB measures2012

    • Author(s)
      鷲見直哉
    • Organizer
      Recent Trends in Ergodic Theory and Dynamical Systems
    • Place of Presentation
      The Maharaja Sayajirao University of Baroda, Vadodara, India
    • Year and Date
      2012-12-26
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] 双曲型SRB測度のaccessibility property について2012

    • Author(s)
      鷲見 直哉
    • Organizer
      力学系とその周辺分野の研究
    • Place of Presentation
      京都大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] On the ergodicity of hyperbolic SRB measures2012

    • Author(s)
      鷲見直哉
    • Organizer
      Dynamics of Complex Systems 2012
    • Place of Presentation
      北海道大学
    • Year and Date
      2012-03-06
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] On the ergodicity of hyperbolic SRB measures2012

    • Author(s)
      鷲見直哉
    • Organizer
      2011年度冬の力学系研究集会
    • Place of Presentation
      日本大学軽井沢研修所
    • Year and Date
      2012-01-06
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] 双曲型SRB測度のaccessibility property について2012

    • Author(s)
      鷲見直哉
    • Organizer
      力学系とその周辺分野の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-07-12
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] Diffeomorphisms preserving hyperbolic SRB measures2012

    • Author(s)
      鷲見 直哉
    • Organizer
      RECENT TRENDS IN ERGODIC THEORY AND DYNAMICAL SYSTEMS
    • Place of Presentation
      The Maharaja Sayajirao University of Baroda
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] On the ergodicity of hyperbolic SRB measures2011

    • Author(s)
      鷲見直哉
    • Organizer
      Frontiers in Dynamical systems and Topology
    • Place of Presentation
      京都大学
    • Year and Date
      2011-11-25
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] On the ergodicity of hyperbolic SRB measures

    • Author(s)
      鷲見直哉
    • Organizer
      2011 年度冬の力学系研究集会(招待講演)
    • Place of Presentation
      日本大学軽井沢研修所
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] On the ergodicity of hyperbolic SRB measures

    • Author(s)
      鷲見直哉
    • Organizer
      Dynamics of Complex Systems  2012(招待講演)
    • Place of Presentation
      北海道大学
    • Data Source
      KAKENHI-PROJECT-23540234
  • [Presentation] On the ergodicity of hyperbolic SRB measures

    • Author(s)
      鷲見直哉
    • Organizer
      Frontiers in Dynamical systems and Topology(招待講演)
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-23540234
  • 1.  NISHIOKA Kunio (60101078)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 2.  SATO Sadao (10170747)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  HIRATA Masaki (70254141)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  AOKI Nobuo (60087020)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  HIRAYAMA Michihiro (50452735)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 3 results
  • 6.  SHIMURA Michio (90015868)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  CHUNG Yong Moo (20314734)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  SHIMOMURA Akihiro (00365066)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  MORIYASU Kazumine (60253184)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  TAKAKUWA Shoichiro (10183435)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  HIDANO Kunio (00285090)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KURATA Kazuhiro (10186489)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  NAKAUCHI Nobumitsu (50180237)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  YAMAMOTO Kenichiro (30635181)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 15.  TAKAHASI Hiroki (00467440)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  MIKAMI Toshio (70229657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  酒井 一博
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 4 results

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