KAMEYAMA Atushi 亀山敦

… Alternative Names

KAMEYAMA Atsushi 亀山敦

亀山敦カメヤマアツシ

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Researcher Number	00243189
Other IDs
Affiliation (Current)	2025: 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 1997 – 1999: 大阪大学, 大学院・基礎工学研究科, 助手 1998: 大阪大学, 大学院基礎工学研究科, 助手 1994: 大阪大学, 基礎工学部, 助手 Less
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) / Basic analysis / Basic analysis / 解析学
Keywords	Principal Investigator フラクタル / 力学系 / コーディング / 記号力学系 / ジュリア集合 / 複素力学系 / symmetry / fractal / symbolic dynamics / tiling … More / Julia set / 自己相似集合 / 分岐被覆 / ゼータ関数 / 双曲型有理関数 / タイリング / 対称性 / タイル張り / Kneading theory / 一次元力学系 … More Except Principal Investigator 熱核 / フラクタル / Schrodinger operator / スペクトルギャップ / 対数ソボレフ不等式 / シュレーディンガー作用素 / additive functional / Dirichlet form / 加法的汎関数 / 大偏差原理 / ラプラシアン / 力学系 / 複素力学系 / タイリング / 確率過程 / 拡散過程 / 自己相似集合 / rough path / heat kernel / Semiclassical limit / Logarithmic Sobolev inequality / 超縮小性 / ラプラスの方法 / 準古典的近似 / シュレーディンガー作用書 / ラフパス / 準古典極限 / spectral gap / log Sobolev inequality / large deviation principle / portfolio optimization / ergodic Bellman equation / risk-sensitive stochastic control / エルゴード型確率制御問題 / ベルマン方程式 / 特異極限 / 粘性解 / エルコンド型ベルマン方程式 / 対数ソポレフ不等式 / ポートフォリオ最適化 / エルゴード型ベルマン方程式 / リスク鋭感的確率制御 / Feynman-Kac formula / large deviation / symmetric Markov process / 大変差原理 / ファイマン-カッツ汎関数 / ディクレ形式 / ディリクレ形成 / ファインマン-カッツの公式 / ディリクレ形式 / 対称マルコフ過程 / Free Boundary Problem / Interface / Muskat Problem / Mittag-Leffler function / Differential Integral Equation / 境界層 / ミッタークレフラ-関数 / 微分積分方程式 / 非線形放線形偏微分方程式 / 自由境参問題 / 非線形放物形偏微分方程式 / 自由境界問題 / マスカット問題 / 確率論 / 解析学 / jump process / Martin境界 / 調和関数 / percolation cluster / Cantor set / Tree / random walk / ジュリア集合 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
  
  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
  
  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(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 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 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
[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 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
[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

# of Collaborated Products: 0 results
9. KOTANI Motoko (50230024)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. KUBO Masayoshi (10273616)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. HATTORI Tetsuya (10180902)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. WAKANO Isao (00263509)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
19. AIDA Shigeki (90222455)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. MOCHIZUKI Kiyoshi (80026773)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. OGAWA Toshiyuki (80211811)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. TACHIZAWA Kazuya (80227090)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. IGARI Satoru (50004289)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. TAKAGI Izumi (40154744)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. FUJIWARA Tsukasa (30199385)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. TAKANOBU Satoshi (40197124)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. OHTA Shin-ichi (00372558)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 増田久弥 (10090523)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 白川浩 (10216187)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 中村佳正 (50172458)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 桑江一洋 (80243814)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 尾角正人 (70221843)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 吉田伸生 (40240303)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 角大輝 (40313324)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 秋山茂樹 (60212445)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 梶野直孝 (90700352)

# of Collaborated Projects: 1 results

# 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

Description

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

KAMEYAMA Atushi 亀山敦

KAMEYAMA Atsushi 亀山敦

亀山敦カメヤマアツシ