SATO Ken-iti 佐藤健一

Researcher Number	60015500
Affiliation (based on the past Project Information) *help	2002 – 2005: 名古屋大学, 名誉教授 1998 – 2000: 名古屋大学, 名誉教授 1993 – 1995: 名古屋大学, 情報文化学部, 教授 1986 – 1992: College of General Education Nagoya University, Professor, 教養部, 教授
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Algebra
Keywords	Principal Investigator 加法過程 / マルコフ過程 / Analytic Capacity / Logarithmic Diffusion Kernel / Stochastic Control Problem / Brownian Motion / Gaussian Channel / Self-similar Process / Markov Process / Birth-and-death Process … More / 標準量子限界 / ピカール集合 / ディリクレ核 / 再帰性 / サボーディネイション / ヤン・バクスター方程式 / 特異点集合 / 有理型関数 / リーマン多様体 / 公理A / 組みひも群 / シュレ-ディンガ-作用素 / 確率制御 / フィ-ドバック / 自己分解可能分布 / 解析的容量 / 対数型拡散核 / 確率制御問題 / ブラウン運動 / ガウス型通信路 / 自己相似過程 / 出生死亡過程 / 拡散近似 / 極限分布 / 特性関数 / 強過渡的と弱過渡的 / マルコフ連鎖 … More Except Principal Investigator 無限分解可能分布 / レヴィ過程 / 加法過程 / マルコフ連鎖 / 符号化定理 / ガウス型通信路 / 極限定理 / 半自己分解可能分布 / 単峰な確率分布 / 従属操作 / ベルマン方程式 / ハルナック不等式 / 通信路容量 / Conditional Expectations / Operator Rings / Quantum Mechanics / Singular Perturbation / Dynamical Systems / 出生死亡過程 / 観測過程 / 作用素環論 / 量子力学 / 電気回路 / 特異摂動論 / 力学系 / Stochastic Differential Equations / Self Similarity / Point Processes / Limit Theorems / Markov Processes / Stochastic Processes / Probability Theory / マルチンゲール理論 / 確率微分方程式 / 自己同形性 / 点過程 / マルコフ過程 / 確率過程 / 確率論 / additive parocess / semi-selfsimilar process / stochastic integral characterization / infinitely divisible distribution / semi-Levy process / Levy process / オルンシュタイン・ウーレンベック過程 / 半定常過程 / 確立積分表現 / 半自己相似過程 / 確率積分表現 / 半レヴィ過程 / absolute continuity / levy processes / semi-selfsimilar stochastic processes / selfsimilar stochastic processes / type G distributions / semi-selfdecomposable distributions / selfdecomposable distributions / infinitely divisible distributions / 半安定分布 / 過渡性 / 絶対連続性 / 半自己相似確率過程 / 自己相似確率過程 / タイプG分布 / 自己分解可能分布 / channel capacity / large deviation theorem / maximum entropy method / spectral analysis of stationary processes / information theory / 大偏差理論 / 大偏差定理 / 最大エントロピー法 / 定常過程のスペクトル解析 / 情報理論 / Ornstein-Uhlenbeck type process / recurrent semi-group / resolvent of potential-kernels / non-integrability of sub-harmonic functions / Analytic capacity / Spectral synthetic / kernels of logarithmic type / Hunt convolution kernels / 周期軌道 / 偏微分方程式の可解性 / 調和関数の境界挙動 / 確率過程の再帰性 / 非回帰的半群 / 対数型ポテンシャル核 / オーレンスタイン・ウーレンベック型過程 / 回帰的生成半群 / ポテンシャル核のレゾルベント / 劣調和関数の非可積分性 / 解析容量 / スペクトラルシンセシス / 対数型核 / ハント合成核 / Whisker / Levy Laplacian / Levy group / Rotation group / White Noise Analysis / ファインマン積分 / ディリクレ形式 / 超汎関数 / 場の量子論 / ホワイトノイズ解析 / ワイル代数上の行列式論 / 解の正則性 / 常微分方程式系の指数定理 / 佐藤超関数 / 解析的汎関数 / コーシー変換 / 対数凸性 / ポテンシャル核の摂動 / 半完全最大値原理 / 対数型ポテンシャル / 時間的一様な独立増分をもつ確率過程 / モード / Invarianto-field / Tailσ-field / 負曲率 / リーマン多様体上のブラウン運動 / 爆発問題 / 対称マルコフ過程 / Nash多様体 / 有理関数 / 多項式 / 実代数的集合 / 錘径数たたみこみ半群 / 多次元タイプG確率変数 / 正定値行列値確率度数 / 錘径数 / 時間変更 / 多次元径数 / 不定方程式 / 実2次体 / 構造不変量 / 代数的教体 / 上半束 / 決定問題 / 多項式時間計算可能性 / 計算量 / 帰納的関数論 / 単峰性 / 勾配評価 / エルゴード的確率制御問題 / OrnsteinーUhlenbeck型確率過程 / 自己相似な確率過程 / 再帰性・非再帰性 / 一点への到達確率 / large deviation / フィ-ドバック / 微分作用素環上の行列式 / 指数定理 / 常微分作用素 / グルサ-問題 / フックス型方程式 / ニュ-トン図形 / ジュブレイ指数 / 形式的巾級数 / G-構造 / 微分多項式 / 実代数的 / 同値問題 / 曲率テンソル Less

Study on semi-Levy processes and semi-selfsimilar processes
- Principal Investigator
  
  MAEJIMA Makoto
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KEIO UNIVERSITY
多次元径数レヴィ過程の研究
- Principal Investigator
  
  MAEJIMA Makoto
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
A study on semi-selfdecomposable distributions and semi-selfsimilar stochastic processes
- Principal Investigator
  
  MAEJIMA Makoto
- 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
  Keio University
マルコフ過程の時間発展の研究Principal Investigator
- Principal Investigator
  
  佐藤健一
- 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
  Nagoya University
代数的数体における構造不変量の研究
- Principal Investigator
  
  横井英夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
帰納的関数論の計算量問題への応用
- Principal Investigator
  
  篠田壽一
- 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
  Nagoya University
Study of Information Theory Based on Probability Theory
- Principal Investigator
  
  IHARA Shunsuke
- Project Period (FY)
  1993 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
エルゴード型ベルマン方程式の研究
- Principal Investigator
  
  長井英生
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
マルコフ過程とその応用
- Principal Investigator
  
  市原完治
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
Potential-kernels of logarithmic type and their applications
- Principal Investigator
  
  ITO Masayuki
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
情報理論の研究
- Principal Investigator
  
  IHARA Shunsuke
- 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
  Nagoya University
代数的リ-マン多様体
- Principal Investigator
  
  大和一夫
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
複素領域における微分方程式系と関連分野の研究
- Principal Investigator
  
  三宅正武
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Nagoya University
Stochastic Analysis and Quantum Field Theory
- Principal Investigator
  
  HIDA Takeyuki
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for international Scientific Research
- Research Institution
  Nagoya University
複素領域における偏微分方程式系と関連分野の研究
- Principal Investigator
  
  三宅正武
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
対数型ポテンシャルとその応用
- Principal Investigator
  
  伊藤正之
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
Study of Stochastic ProcessesPrincipal Investigator
- Principal Investigator
  
  SATO Ken-iti
- Project Period (FY)
  1987 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
実代数幾何及び実解析位相幾何の研究
- Principal Investigator
  
  塩田昌弘
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
マルコフ過程の研究
- Principal Investigator
  
  市原完治
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
Co-operative Research on Probability Theory
- Principal Investigator
  
  TOTOKI Haruo
- Project Period (FY)
  1985 – 1986
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  HIROSHIMA UNIVERSITY
Theory of Dynamical Systems
- Principal Investigator
  
  SHIRAIWA Kenichi
- Project Period (FY)
  1985 – 1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University

All 2006 Other

All Journal Article

[Journal Article] Someclasses of infinitely divisible distributions admitting stochastic integral representations2006
- Author(s)
  O.E.Barndorff-Nielsen, M.Maejima, K.Sato
- Journal Title
  
  Bernoulli Vol.12, No.1
  
  Pages: 1-33
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Some classes of infinitely divisible distributions admitting stochastic integral representations2006
- Author(s)
  O.E.Barndorff-Nielsen, M.Taejima, K.Sato
- Journal Title
  
  Bernoulli Vol.12, No.1
  
  Pages: 1-33
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Some classes of infinitely divisible distributions admitting stochastic integral representations2006
- Author(s)
  O.E.Barndorff-Nielsen, M.Maejima, K.Sato
- Journal Title
  
  Bernoulli Vol.12, No.1
  
  Pages: 1-33
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Two families of improper stochastic integrals with respect to Levy processes
- Author(s)
  K.Sato
- Journal Title
  
  Latin American Journal of Probability and Matheamtical Statistics to appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Infinite divisibility for stochastic processes and time change
- Author(s)
  O.E.Barndorff-Nielsen, M.Maejima, K.Sato
- Journal Title
  
  J.Theoretical Probability (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Infinite divisibility for stochastic processes and time change
- Author(s)
  O.E..Barndorff-Nielsen, M.Maejima, K.Sato
- Journal Title
  
  J.Theoretical Probability to appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Infinite divisibility for stochastic processes and time change
- Author(s)
  O.E.Barndorff-Nielsen, M.Maejima, K.Sato
- Journal Title
  
  J. Theoretical Probability (to appear)
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Two families of improper stochastic integrals with respect to Levy processes
- Author(s)
  K.Sato
- Journal Title
  
  Latin American Journal of Probability and Matheamtical Statistics (to appear)
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Two families of improper stochastic integrals with respect to Levy processes
- Author(s)
  K.Sato
- Journal Title
  
  Latin American Journal of Probability and Matheamtical Statistics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340036
[Journal Article] Infinite divisibility for stochastic processes and time change
- Author(s)
  O.E.Barndorff-Nielsen, M.Maejima, K.Sato
- Journal Title
  
  J.Theoret. Probab. (発表予定)
- Data Source
  KAKENHI-PROJECT-15340036

1. OZAWA Masanao (40126313)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. ITO Masayuki (60022638)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
3. IHARA Shunsuke (00023200)

# of Collaborated Projects: 7 results

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

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
5. 三宅正武 (70019496)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
6. ICHIHARA Kanji (00112293)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
7. 松本幾久二 (90023522)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. SHIOTA Masahiro (00027385)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. YOKOI Nideo (50023560)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. MAEJIMA Makoto (90051846)

# of Collaborated Projects: 3 results

# of Collaborated Products: 6 results
11. IKEGAMI Giko (00023614)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. MURAI Takafumi (00109266)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. 大和一夫 (30022677)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. 佐藤肇 (30011612)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. 篠田壽一 (30022685)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. MORIMOTO Hiroshi (20115645)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. NOMOTO Hisao (40023030)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. MIYAKE Katsuya (20023632)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. KUSUOKA Shigeo (00114463)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. TAMURA Yozo (50171905)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. NAKADA Hitoshi (40118980)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. WATANABE Toshiro (50254115)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. 中野伸 (40180327)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. HIDA Takeyuki (90022508)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. WATANABE Hisao (40037677)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. TAKAHASHI Yoichiro (20033889)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. OBATA Nobuaki (10169360)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. SUZUKI Noriaki (50154563)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. KAWAZOE Takeshi (90152959)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. TANI Atusi (90118969)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. TOTOKI Haruo (70027366)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. KONO Norio (90028134)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. KUNITA Hiroshi (30022552)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. IKEDA Nobuyuki (00028078)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. SHIRAIWA Kenichi (80023521)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. 江尻典雄 (80145656)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. 三井武友 (50027380)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. 北岡良之 (40022686)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. 岸正倫 (40022545)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. 松沢忠人 (20022618)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. 田中和永 (20188288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. 野寺隆 (50156212)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. 河野俊丈 (80144111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. KUO H. H.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. POTTHOFF Jurgen

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. ALBEVERIO Sergio

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. STREIT Ludwig

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. RO^^‥CKNER M

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
50. ROCKNER Michael

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SATO Ken-iti 佐藤 健一

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

マルコフ過程の時間発展の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

SATO Ken-iti 佐藤健一