TAKASHI Komatsu 小松孝

… Alternative Names

KOMATSU Takasi 小松孝

小松孝コマツタカシ

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Researcher Number	80047365
Other IDs
Affiliation (based on the past Project Information) *help	2010: 大阪市立大学, 大学院・理学研究科, 教授 2007: Osaka City University, Science, Professor 2006: 大阪市立大学, 大学院理学研究科, 教授 2001 – 2005: 大阪市立大学, 大学院・理学研究科, 教授 1993 – 2000: 大阪市立大学, 理学部, 教授 … More 1993: 大阪市立大学, 医学部, 教授 1992: 大阪市立大学, 理学部, 助教授 1988 – 1990: 大阪市立大学, 理学部, 助教授 1986: 大阪市立大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Geometry / Basic analysis / Basic analysis
Keywords	Principal Investigator Malliavin calculus / stochastic differential equation / 確率微分方程式 / マリアバン解析 / 擬微分作用素 / stochastic flow / 確率流 / hypoellipticity / jump type process / pseudo-differential operator … More / 確率密度関数 / 飛躍型確率過程 / マルコフ過程 / Hormander condition / ヒルベルト空間 / ヘルマンダー条件 / セミマルチンゲール / 準楕円性 / transition density / Hormander theorem / Markov process / 非局所的 / 一様化問題 / 推移確率 / 非局所ディリクレ形式 / 安定過程 / variable order / Hormander inequality / regularity of density / functional space / 飛躍型過程 / 確率解析 / 変数次数 / ヘルマンダー不等式 / 正則性 / 関数空間 / Hibert space / infinite particle system / 相互作用 / 無限粒子系 / Hilbert space / filtering equation / ヘビィ過程 / フィルタリング方程式 / 飛躍型確立過程 / 準楕円形 / フイルタリング方程式 / 推移密度関数 / ヘルマンダーの定理 / semimartingale / マルチンゲ-ル / マリアバン演算法 / マルチンゲール / ソボレフ空間 / 飛躍型 / ドライビング過程 / 対称マルコフ過程 / 分布収束 / マルチンゲール問題 / エルゴート性 / ドライブ過程 / レビィ型生成作用素 / ヘルダ-連続性 … More Except Principal Investigator フラクタル / ポテンシャル論 / caloric morphism / マルチン境界 / 熱方程式 / ベルグマン空間 / 放物型方程式 / エネルギー形式 / スペクトル収束 / リーマン多様体 / 自己相似確率過程 / 接続計量 / リッチ曲率 / スペクトル距離 / グロモフ・ハウスドルフ距離 / 熱核 / 正則写像 / リーマン面 / タイヒミュラー空間 / 最小コサイクル / エルゴード理論 / parabolic equation of fractional order / polytemperature / Martin boundary / quasiconformal mapping / harmonic function / mean value property / heat equation / クリーン関数 / 最大値の原理 / グリーン関数 / ペアノ核 / カルレソン測度 / ヘルグマン空間 / 掃散測度 / 再生核 / 多重熱方程式 / 分数ベキ放物型方程式 / 擬等角写像 / 調和関数 / 平均値の性質 / deterministic Brownian motion / 0-entropy / self-similar process / homogeneous cocycle / colored tiling / weighted substitution / fractal / 0-エントロピー / O-エントロピー / 色付タイリングの空間 / 飛躍型SDE / 色付タイリング空間 / 同次コサイクル / 決定論的ブラウン運動 / 重み付置換規則 / parabolic Harnack inequality / Dirichlet space / spectral distance / Gromov-Hausdorff distance / heat kernel / Riemannian manifold / リー群の作用 / ガウス型評価 / ハルナックの不等式 / ガンマ収束 / ハウスドルフ収束 / 放物的ハルナック不等式 / 放物型ハルナック不等式 / ディリクレ空間 / 十分統計量 / マルコフ分割 / セルフ・シミラー確率過程 / セルフ・アファイン関数 / オドメーター変換 / 超準解析 / ミホンカンスウ / エルゴード / ジュウブン・トウケイリョウ / キョウカイチモンダイ / マクシマム・フロー / チョウワクウカン / ヨウリョウ / ポテンシャル / シャッテン族 / カルレソン不等式 / テープリッツ作用素 / カロリックモルフィズム / コンパクト作用素 / 複素解析 / 函数論 / 解析学 / 分数ベキ作用素 / トエプリッツ作用素 / ベクトル束 / シュレーディンガー作用素 / 接続 / ベクトル束ラプラシアン / 同次最小コサイクル / 双曲幾何 / 複素数様体 / 力学系 / リーマン多様体の収束 / 自己相似性 / strictly ergodic / 剛直性定理 / 双曲的多様体 / モデュライ空間 / ドアティ空間 / 複素多様体 / ルーディン・シャピロ関数 / ペアノ関数 / 自己線形性 / 基軸測度 / 可算加法族 / 対十分性 / 十分性 / 優越型実験 Less

Potential theoretic approach to parabolic equations
- Principal Investigator
  
  MASAHARU Nishio (NISHIO Masaharu)
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka City University
the regularity of stochastic flows on functional spacesPrincipal Investigator
- Principal Investigator
  
  KOMATSU Takashi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
Malliavin calculus for stochastic flowsPrincipal Investigator
- Principal Investigator
  
  KOMATSU Takashi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
Malliavin calculus for stochastic differential equations with jumpsPrincipal Investigator
- Principal Investigator
  
  KOMATSU Takashi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
Potential theoretic approach to parabolic equations
- Principal Investigator
  
  NISHIO Masaharu
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka City University
Study on regularities of stochastic processes with jumpsPrincipal Investigator
- Principal Investigator
  
  KOMATSU Takashi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
接続計量の幾何学と確率過程
- Principal Investigator
  
  加須栄篤
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Harnack's Inequality in Riemannian Geometry
- Principal Investigator
  
  KASUE Atsushi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University, Department of Methematics
Fractal and Stochastic Process
- Principal Investigator
  
  KAMAE Teturo
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
The martingale problem for generators of variable orderPrincipal Investigator
- Principal Investigator
  
  KOMATSU Takashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
リッチ曲率の幾何学と大域解析学
- Principal Investigator
  
  KASUE Atsushi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
タイヒミュラー空間とその応用
- Principal Investigator
  
  今吉洋一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka City University
フラクタルと自己相似確率過程
- Principal Investigator
  
  釜江哲郎
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
クラクタルと変換
- Principal Investigator
  
  釜江哲朗
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
タイヒミュラー空間とその応用
- Principal Investigator
  
  IMAYOSHI Yoichi
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka City University
エルゴード理論の解析学の様々の分野への応用
- Principal Investigator
  
  釜江哲郎
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka City University
飛躍型確率過程の極限定理Principal Investigator
- Principal Investigator
  
  小松孝
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
非局所的放物型方程式に対応する確率過程の漸近理論Principal Investigator
- Principal Investigator
  
  小松孝
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
優越型統計実験における十分性
- Principal Investigator
  
  森本治樹
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
非局所ディリクレ形式と飛躍型確率過程Principal Investigator
- Principal Investigator
  
  小松孝
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
超準解析の研究
- Principal Investigator
  
  釜江哲朗
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka City University
ポテンシャル論とその応用
- Principal Investigator
  
  二宮信幸
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka City University

All 2007 2004 2003 2002 2001 Other

All Journal Article Presentation

[Journal Article] Generalized Hormander theorem for non-local operators2004
- Author(s)
  T.komatsu, A.Takeuchi
- Journal Title
  
  Recent Developments in Stochastic Analysis and Related topics, World Scientific
  
  Pages: 234-245
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540133
[Journal Article] On the partial hypoellipticity of SDE's on Hirbert spaces2004
- Author(s)
  T.Komatsu
- Journal Title
  
  Theory of Stochastic Processes 10(26)
  
  Pages: 63-73
- Data Source
  KAKENHI-PROJECT-15540133
[Journal Article] On the partial hypoellipticity of SDE's on Hilbert spaces2004
- Author(s)
  T.Komatsu
- Journal Title
  
  Theory of Stochastic Processes 10(26)
  
  Pages: 63-73
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540133
[Journal Article] Generalized Hormander theorem for non-local operators2004
- Author(s)
  T.Komatsu, A.Takeuchi
- Journal Title
  
  Recent Developments in Stochastic Analysis and Related Topics (Proceedings of the first Sino-German Conference on Stochastic Analysis), World Scientific
  
  Pages: 234-245
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540133
[Journal Article] On the partial hypoellipticity of SDE's on Hilbert space2004
- Author(s)
  T.Komatsu
- Journal Title
  
  Theory of Stochastic Processes 10
  
  Pages: 63-73
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540133
[Journal Article] On the Malliavin calculus for SDE's on Hilbert spaces2003
- Author(s)
  T.Komatsu
- Journal Title
  
  Acta Applicandae Mathematicae, vol.78
  
  Pages: 223-232
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640186
[Journal Article] On the Malliavin calculus for Stochastic flows with interaction on Hilbert sp.2003
- Author(s)
  T.Komatsu
- Journal Title
  
  Acta Appl. Math. 78
  
  Pages: 223-232
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540133
[Journal Article] On the Malliavin calculus for stochastic flows with interaction on Hilbert spaces2003
- Author(s)
  T.Komatsu
- Journal Title
  
  Acta Appl.Math. 78
  
  Pages: 223-232
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540133
[Journal Article] On the Malliavin calculus for Markov processes with jumps2002
- Author(s)
  T.Komatsu
- Journal Title
  
  Probability Theory, Mathematical Statistics, (Proceedings of Ukrainian Mathematical Congress 2001), Kyiv,
  
  Pages: 59-72
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640186
[Journal Article] On the smoothness of pdf of solutions to SDE of jump type2001
- Author(s)
  T.Komatsu, A.Takeuchi
- Journal Title
  
  International J.Differential Equations and Appl., vol.2
  
  Pages: 141-197
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640186
[Journal Article] Simplified probabilistic approach to Hormander theorem2001
- Author(s)
  T.Komatsu, A.Takeuchi
- Journal Title
  
  Osaka J.Math., vol.38
  
  Pages: 681-691
- NAID
  120004844750
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640186
[Journal Article] Generalized Hormander theorem for non-local operators
- Author(s)
  T.Komatsu, A.Takeuchi
- Journal Title
  
  Proceedings of the First Sino-German Conference on Stochastic Analysis, World Scientific, (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640186
[Journal Article] Generalized Hormander theorem for non-local operators
- Author(s)
  T.Komatsu, A.Takeuchi
- Journal Title
  
  Recent Developments in Stochastic Analysis and Related Topics (発表予定)
- Data Source
  KAKENHI-PROJECT-15540133
[Journal Article] On the martingale problem for pseudo-differential operators of variable order
- Author(s)
  T. Komatsu
- Journal Title
  
  Theory of Stochastic Processes to appear
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540130
[Journal Article] On the partial hypoellipticity of SDE's on Hilbert spaces
- Author(s)
  T.Komatsu
- Journal Title
  
  Proceedings of the International Summer Seminar "Stocastic Dynamical System", (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640186
[Presentation] On the martingale problem for pseudo-differential operators of variable order2007
- Author(s)
  T.Komatsu
- Organizer
  International Cenference"Skorkhod Space, 50 years later"
- Place of Presentation
  キエフ(ウクライナ)
- Data Source
  KAKENHI-PROJECT-17540130
[Presentation] On the martingale problem for pseudo-differential operators of variable order2007
- Author(s)
  T.Komatsu
- Organizer
  International Conference "Skorokhod Spaces, 50 years on"
- Place of Presentation
  キエフ(ウクライナ)
- Year and Date
  2007-06-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540130

1. KAMAE Teturo (80047258)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
2. FUJII Junji (60117968)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
3. KENーICHI Sakan (70110856)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
4. MASAHARU Nishio (90228156)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
5. DATEYAMA Masahito (10163718)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
6. IMAYOSHI Yoichi (30091656)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
7. ATSUSHI Takeuchi (30336755)

# of Collaborated Projects: 5 results

# of Collaborated Products: 3 results
8. 森本治樹 (60046894)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
9. HIROAKI Masaoka (30219315)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. YOSHIDA Masamichi (60264793)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. HIRABA Seiji (30260798)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
12. 池上輝男 (90046889)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
13. NORIAKI Suzuki (50154563)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. KATSUNORI Shimomura (00201559)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. KASUE Atsushi (40152657)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
16. NEGORO Akira (80021947)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
17. 高橋智 (70226835)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
18. MASUDA Mikiya (00143371)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. HASHIMOTO Yoshitake (20271182)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. 河内明夫 (00112524)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. 小森洋平 (70264794)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. 二宮信幸 (90046764)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. MASAHIRO Yamada (00263666)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. KATO Shin (10243354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. KUMURA Hironori (30283336)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. OGURA Yukio (00037847)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. FUJIHARA Tsukasa (30199385)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 津島行男 (80047240)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 原田学 (10046914)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 長谷川要二郎 (00046947)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. KOMATSU Takashi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TAKASHI Komatsu 小松 孝

KOMATSU Takasi 小松 孝

小松 孝 コマツ タカシ

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the regularity of stochastic flows on functional spacesPrincipal Investigator

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Malliavin calculus for stochastic flowsPrincipal Investigator

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Malliavin calculus for stochastic differential equations with jumpsPrincipal Investigator

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Study on regularities of stochastic processes with jumpsPrincipal Investigator

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The martingale problem for generators of variable orderPrincipal Investigator

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TAKASHI Komatsu 小松孝

KOMATSU Takasi 小松孝

小松孝コマツタカシ