KAMEYAMA Atushi 亀山敦

… Alternative Names

Researcher Number	00243189
Other IDs
Affiliation (Current)	2020: 岐阜大学, 工学部, 教授
Affiliation (based on the past Project Information) *help	2016: 岐阜大学, 工学部, 教授 2007 – 2013: Gifu University, 工学部, 教授 2004 – 2005: 岐阜大学, 工学部, 助教授 2003: 大阪大学, 大学院・基礎工学研究科, 助手 2001: 大阪大学, 大学院・基礎工学研究科, 助手 … More
Review Section/Research Field	Principal Investigator Global analysis / Geometry Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis / Basic analysis
Keywords	Principal Investigator フラクタル / 複素力学系 / ジュリア集合 / 記号力学系 / コーディング / 力学系 / 一次元力学系 / Kneading theory / タイル張り / 対称性 … More Except Principal Investigator 熱核 / フラクタル / 確率過程 / タイリング / 複素力学系 / 力学系 / ラプラシアン / 大偏差原理 / 加法的汎関数 / Dirichlet form / additive functional / シュレーディンガー作用素 / 対数ソボレフ不等式 / スペクトルギャップ / Schrodinger operator / ジュリア集合 / random walk / Tree / Cantor set / percolation cluster / 調和関数 / Martin境界 / jump process / 解析学 / 確率論 / マスカット問題 / 自由境界問題 / 非線形放物形偏微分方程式 / 自由境参問題 / 非線形放線形偏微分方程式 / 微分積分方程式 / ミッタークレフラ-関数 / 境界層 / Differential Integral Equation / Mittag-Leffler function / Muskat Problem / Interface / Free Boundary Problem / 対称マルコフ過程 / ディリクレ形式 / ファインマン-カッツの公式 / ディリクレ形成 / ディクレ形式 / ファイマン-カッツ汎関数 / 大変差原理 / symmetric Markov process / large deviation / Feynman-Kac formula / リスク鋭感的確率制御 / エルゴード型ベルマン方程式 / ポートフォリオ最適化 / 対数ソポレフ不等式 / エルコンド型ベルマン方程式 / 粘性解 / 特異極限 / ベルマン方程式 / エルゴード型確率制御問題 / risk-sensitive stochastic control / ergodic Bellman equation / portfolio optimization / large deviation principle / log Sobolev inequality / spectral gap / 準古典極限 / 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 / 超縮小性 / Logarithmic Sobolev inequality / Semiclassical limit / heat kernel / rough path / 自己相似集合 / 拡散過程 Less

Relation between algebra, geometry and analysis on fractals
- Principal Investigator
  
  Kigami Jun
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Interaction between areas of Mathematics related to internal structures of fractals
- Principal Investigator
  
  KIGAMI Jun
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
Aspects of Mathematics on Fractals
- Principal Investigator
  
  KIGAMI Jun
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
Combinatorial structure and fractal structure of dynamics on the two-dimensional spherePrincipal Investigator
- Principal Investigator
  
  KAMEYAMA Atsushi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Gifu University
Study of Dynamics of Branched Coverings on the Sphere and Dynamical Zeta FunctionPrincipal Investigator
- Principal Investigator
  
  KAMEYAMA Atsushi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Gifu University
  Osaka University
Stochastic analysis on loop space
- Principal Investigator
  
  AIDA Shigeki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Risk-sensitive stochastic control and its singular limit
- Principal Investigator
  
  NAGAI Hideo
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  OSAKA UNIVERSITY
Studies on linear and nonlinear differential equations with time delay
- Principal Investigator
  
  KAMETAKA Yoshinori
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Symmetric Markov processes and Dirichlet forms
- Principal Investigator
  
  TAKEDA Masayoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  TOHOKU UNIVERSITY
  Osaka University
力学系に現れるフラクタルの位相的研究Principal Investigator
- Principal Investigator
  
  亀山敦
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka University

All 2010 2007 2006 2004 2003

All Journal Article Presentation

[Journal Article] ジュリア集合のコーディングの空間「力学系理論の最近の発展」2007
- Author(s)
  亀山敦
- Journal Title
  
  数理解析研究所講究録 1552
  
  Pages: 97-106
- Data Source
  KAKENHI-PROJECT-19540211
[Journal Article] Coding and tiling of Julia sets for subhyperbolic rational maps2006
- Author(s)
  A.Kameyama
- Journal Title
  
  Advances in Mathematics 200
  
  Pages: 217-244
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] Coding and tiling of Julia sets for subhyperbolic rational maps2006
- Author(s)
  A.Kameyama
- Journal Title
  
  Adv. Math 200
  
  Pages: 217-244
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] Coding and tiling of Julia sets for subhyperbolic rational maps2006
- Author(s)
  A.Kameyama
- Journal Title
  
  Adv.Math. 200
  
  Pages: 217-244
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] Distances on topological self-similar sets2004
- Author(s)
  A.Kameyama
- Journal Title
  
  Proceedings of Symposia in Pure Mathematics vol72
  
  Pages: 117-129
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] Synchronised Similar Triangles for Three-Body Orbit with Zero Angular Momentum.2004
- Author(s)
  Toshiaki Fujiwara, Hiroshi Fukuda, Atsushi Kameyama, Hiroshi Ozaki 他
- Journal Title
  
  J.Phys.A : Math.Gen 37
  
  Pages: 10571-10584
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] Distances on topological self-similar sets2004
- Author(s)
  A.Kameyama
- Journal Title
  
  Proceedings of Symposia in Pure Mathematics vol 72
  
  Pages: 117-129
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] On Julia sets of postcritically finite branched coverings Part I - coding of Julia sets2003
- Author(s)
  A.Kameyama
- Journal Title
  
  J.Math.Soc.Japan 55
  
  Pages: 439-454
- NAID
  10011796651
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] On Julia sets of postcritically finite branched coverings Part II- S^1-parametrization of Julia sets2003
- Author(s)
  A.Kameyama
- Journal Title
  
  J. Math. Soc. Japan 55
  
  Pages: 455-469
- NAID
  10011796665
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] On Julia sets of postcritically finite branched coverings Part I - coding of Julia sets.2003
- Author(s)
  A.Kameyama
- Journal Title
  
  J. Math. Soc. Japan 55
  
  Pages: 439-454
- NAID
  10011796651
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540204
[Journal Article] On Julia sets of postcritically finite branched coverings Part II - S^1-parametrization of Julia sets.2003
- Author(s)
  A.Kameyama
- Journal Title
  
  J.Math.Soc.Japan 55
  
  Pages: 455-469
- NAID
  10011796665
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540204
[Presentation] ジュリア集合のコーディング空間2010
- Author(s)
  亀山敦
- Organizer
  日本数学会
- Place of Presentation
  慶応大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-19540211

1. HINO Masanori (40303888)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. NAGAI Hideo (70110848)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. KUWADA Kazumasa (30432032)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. ITO Syunji (30055321)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. KIGAMI Jun (90202035)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. SHISHIKURA Mitsuhiro (70192606)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. KUMAGAI Takashi (90234509)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. AIKAWA Hiroaki (20137889)

# of Collaborated Projects: 3 results

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9. KOTANI Motoko (50230024)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. TAKAHASHI Satoshi (70226835)

# of Collaborated Projects: 3 results

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11. KUBO Masayoshi (10273616)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. OSADA Hirofumi (20177207)

# of Collaborated Projects: 2 results

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13. HATTORI Tetsuya (10180902)

# of Collaborated Projects: 2 results

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14. WAKANO Isao (00263509)

# of Collaborated Projects: 2 results

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15. KAMETAKA Yoshinori (00047218)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. FUKUSHIMA Masatoshi (90015503)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. TAKEDA Masayoshi (30179650)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. SEKINE Jun (50314399)

# of Collaborated Projects: 2 results

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19. AIDA Shigeki (90222455)

# of Collaborated Projects: 2 results

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20. MOCHIZUKI Kiyoshi (80026773)

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21. OGAWA Toshiyuki (80211811)

# of Collaborated Projects: 1 results

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22. TACHIZAWA Kazuya (80227090)

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23. IGARI Satoru (50004289)

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24. TAKAGI Izumi (40154744)

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25. FUJIWARA Tsukasa (30199385)

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26. TAKANOBU Satoshi (40197124)

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27. OHTA Shin-ichi (00372558)

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28. 増田久弥 (10090523)

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29. 白川浩 (10216187)

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30. 中村佳正 (50172458)

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31. 桑江一洋 (80243814)

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32. 尾角正人 (70221843)

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33. 吉田伸生 (40240303)

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34. 角大輝 (40313324)

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35. 秋山茂樹 (60212445)

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36. 梶野直孝 (90700352)

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# of Collaborated Products: 0 results

KAMEYAMA Atushi 亀山 敦

KAMEYAMA Atsushi 亀山 敦

亀山 敦 カメヤマ アツシ

Research Projects

Research Products

Co-Researchers

Relation between algebra, geometry and analysis on fractals

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Interaction between areas of Mathematics related to internal structures of fractals

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Aspects of Mathematics on Fractals

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Combinatorial structure and fractal structure of dynamics on the two-dimensional spherePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Dynamics of Branched Coverings on the Sphere and Dynamical Zeta FunctionPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Stochastic analysis on loop space

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Risk-sensitive stochastic control and its singular limit

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on linear and nonlinear differential equations with time delay

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Symmetric Markov processes and Dirichlet forms

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

力学系に現れるフラクタルの位相的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] ジュリア集合のコーディングの空間「力学系理論の最近の発展」2007

Author(s)

Journal Title

Data Source

[Journal Article] Coding and tiling of Julia sets for subhyperbolic rational maps2006

Author(s)

Journal Title

Data Source

[Journal Article] Coding and tiling of Julia sets for subhyperbolic rational maps2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] Coding and tiling of Julia sets for subhyperbolic rational maps2006

KAMEYAMA Atushi 亀山敦

KAMEYAMA Atsushi 亀山敦

亀山敦カメヤマアツシ