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WATANABE Sinzo
渡辺 信三
Connect your ORCID iD
*help
Researcher Number
90025297
Affiliation (based on the past Project Information)
*help
2002 – 2003: 立命館大学, 理工学部, 教授
1999 – 2001: 京都大学, 名誉教授
1998: Kyoto Univ., Dept.Math., Professor, 大学院理学研究科, 教授
1995 – 1998: Kyoto Univ., Graduate School of Science, Professor, 大学院・理学研究科, 教授
1996: 京都大学, 大学院理学研究科, 教授
1995 – 1996: 京都大学, 理学研究科, 教授
1986 – 1994: Kyoto Univ. Fac. of Sci. Professor, 理学部, 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
/
Basic analysis
/
代数学・幾何学
/
Geometry
Keywords
Principal Investigator
Wiener空間 / Wiener汎関数 / Sobolev空間 / Brownian snake / 確率微分方程式 / Mallianin解析 / Quasi-sure analtsis / Wiener超汎関数 / Donsberのデルタ関数 / 大偏差原理
…
More
/ ウィナー汎関数のソボレフ空間 / 測度値分枝過程 / innovation問題 / 流体方程式の解空間の分岐 / 力学系の分岐問題 / 整関数力学系の変形理論 / 格子スピン系 / マルコフ半群の比較定理 / 無限次元Hodge-Kodaira型作用素 / Berezin変換 / Capelli恒等式 / φ^4-格子場模型 / Malliavrin解析 / Stochastic area / Euler-Maruyama近似 / 熱核の近似スキーム / 熱対流問題 / Pauli作用素のスペクトル / Malliavin解析 / ループ空間 / 無限対称群 / 微分同相群 / 分岐問題の計算機支援証明法 / Sobolev spaces on Wiener space / measure valued branching processes / innovation problem / bifurcations for equations in fluid dynamics / bifurcation problem in dynamical system / complex dynamics of entirefunctions / lattice spin system / 確率解析 / Wiener空間上の解析学(Malliavin解析) / 超Wiener汎関数と一般化積分 / 熱方程式の基本解の漸近問題 / 超リー代数 / Duffing方程式の周期解 / フラクタル / 双曲的変換の離散部分群 / 熱方程式の基本解の漸近理論 / Duffing方程式 / 周期解 / 双曲的変換 / 離散部分群 / Wiener空間上の解析学 / 熱方程式の基本解 / 指数定理 / ラングラケポテンシャルを持つSchrodinger方程式 / 木村モデル / Stochastic analysis / Malliavin calculus / Generalized Wiener functionals / Asymptotic problems of heat kernels / Lie superalgebra / Periodic solutions of Duffing equations / Fractals
…
More
Except Principal Investigator
確率解析 / フラクタル / 確率微分方程式 / 双曲型方程式 / 表現論 / 複素多様体 / 擬等角写像 / リー群 / ループ空間 / ブラウン運動 / ウィナー空間 / 無限次元空間 / 漸近挙動 / 対称拡散過程 / 確率過程 / ディリクレ形式 / マリアヴァン解析 / 大偏差原理 / 力学系 / マルコフ過程 / 確率制御 / 無限次元解析 / 拡散過程 / Stochastic analysis / 量子力学の方程式 / スペクトル理論 / 自由表面問題 / 可解格子模型 / 流体方程式 / Wiener sausage / Schrodinger作業素 / 非線型解析 / Duffing方程式 / 準楕円性 / 代数学 / トポロジ- / リ-マン面 / タイヒミュラ-空間 / モデュライ空間 / 擬等角変形 / ポマンカレ級数 / BMO函数 / 条件付き測度 / ウィナー汎関数 / リッチ曲率 / 対数ソボレフ不等式 / 複雑度 / ノイズ / Dirichlet形式 / 半群 / ウィーナー空間 / 流体力学極限 / 伊藤解析 / 数理解析研究所プロジェクト研究 / 日本数学会国際研究集会 / 多様体 / 位相数学 / ホモトピー / コホモロジー / 代数多様体 / 位相解析 / リーマン面 / タイヒミュラー空間 / 極限定理 / ランダム媒質 / ガウス過程 / エルゴ-ド理論 / シュレディンガ-作用素 / 抽象ウィ-ナ-空間 / 多粒子系マルコフ過程 / 測度値分枝過程 / 中心極限定理 / 加法過程 / マリアバン演算法 / ガウス型通信路 / Markov process / Limit theorems / Random environment / Gaussian process / Ergodic theory / Schrodinger operator / Stochastic control / Wiener(ウィ-ナ-)汎関数 / 流体の方程式 / 精度保証付き数値計算 / 力学系とカオス / Wiener汎関数 / 無限次元リ-群の表現 / シュレディンガ-方程式 / 保型形式の空間 / 区間演算ソフトウェア- / 保証つき数値計算 / Equation of Quantum Mechanics / Spectral Theory / Stochastic Analysis / Wiener Functional / Equation of Fluid Dynamics / Free Surface Problems / Validated Numerical Computation / Dynamical Systems and Chaos / カオス / 解空間の構造 / 計算機支援証明法 / 分岐問題 / 計算機支援証明 / ホモクリニック倍分岐 / Schrodinger方程式 / 散乱理論 / 幾何学的Lorenzアトラクター / 量子力学的3体系 / Heisenberg群上の双曲型方程式 / Schrodinger型方程式 / Hyperbolic P.D.E. / Stochastic Diff.Eq. / Fluid dynamical equations / Solvable lattice models / Dynamical System / Bifurcation problems / Structure of solution space / Computer assisted proof / 量子群 / ジョルダン代数 / Berezin変換 / 微分同相群 / 重複度フリー作用 / Capelli等式 / dual pair / Berezin 変換 / 重複フリー作用 / 包絡環 / グラスマン多様体 / Harish-Chandra加群 / Lie Group / Quantum Group / Jordan Algebra / Berezin Fransformation / Diffeomorphism Group / Multiplicity-free Action / Capelli Identity / Dual Pair / 漸近理論 / 遺伝モデル / 計算数学 / 量子カオス / リーマン多様体 / 非平衡統計力学 / 確率分布モデル / asymptotics theory / genetic model / computor mathematics / stochastic control / quantum chaos / Riemannian manifold / Brownian motion / non-stationary statistical dynamics / 位相的場の理論 / ハミルトン系 / ゲージ理論 / シンプレクティック幾何学 / モ-ス理論 / 弦理論 / ホモトピー代数 / ホワイトヘッドのねじれ / 超弦理論 / 有理ホモトピー型 / 概複素曲線 / 周期軌道 / Topological Field Theory / Hamiltonian system / Gauge theory / Sympletic geometry / Morse theory / String Theory / Homotopical Algebra / Whitehead Torsion / 一意接続性 / 平滑化作用 / シュレーディンガー方程式 / ディラック方程式 / 対称化法 / 解の一意接続性 / 楕円型方程式 / シュレ-ディンガー方程式 / 強一意接続性 / 特異性の伝播 / 平滑化効果 / 偏微分方程式 / 境界値問題 / Unique continuation / Smoothing effects / Schroedinger eguation / Dirac equation / Symmetrization / ループ群 / 本質的自己共役性 / Ricci曲率 / スペクトル / 半群の比較定理 / 対数Sobolev不等式 / Laplace作用素 / 共変微分 / loop group / stocastic differential equation / inifinite dimensional analysis / essential self-adjointness / Ricci curvature / spectrum / semigroup domination / logarithmic Sobolev inequality / 確率微分幾何 / マクアバン解析 / 調和写像 / stochastic differeatial equalioes / マリアバン解析 / マリアバン演算 / 調和解析 / Stochastic differential equations / Stochstic differential geometry / Malliavin calculus / Harmonic maps / サンプルパス / Wieher sausage / 重複対数の法則 / 重複大数の法則 / ランダムウォーク / 概不変原理 / range / Stochastic processes / sample paths / large deviation / asymptotic behavior / fractal / law of the iterated logarithm / symmetric diffusion processes / 複雑な系 / 熱核 / ナッシュ不等式 / 放物型ハルナック不等式 / ベソフ空間 / 飛躍型確率過程 / ホモジナイゼーション / ソボレフ空間 / Disordered media / Heat kernel / Nash Inequality / Parabolic Harnack inequality / Besov space / Jump-type stochastic process / Homogenization / 固有値問題 / フーリエ変換 / ユニタリ表現 / 超群 / ヘッケ作用素 / シュレーディンガ作用素 / 逆問題 / eigenvalue problem / Fourier transform / unitary representation / hypergroup / Hecke operater / Schrodinger operater
Less
Research Projects
(
23
results)
Co-Researchers
(
61
People)
Project Start Year (Newest)
Project Start Year (Oldest)
INteraction between probability and analysis on disordered media
Principal Investigator
KUMAGAI Takashi
Project Period (FY)
2002 – 2003
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
KYOTO UNIVERSITY
確率解析に関する国際研究集会のための企画調査
Principal Investigator
熊谷 隆
Project Period (FY)
2001
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
Kyoto University
複雑度の高い空間における確率解析の研究
Principal Investigator
若野 功
Project Period (FY)
2000 – 2001
Research Category
Grant-in-Aid for Exploratory Research
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kyoto University
Analysis of sample paths for stochastic processes
Principal Investigator
KUMAGAI Takashi
Project Period (FY)
1999 – 2001
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kyoto University
GEOMETRY OF STOCHASTIC DIFFERENTIAL EQUATIONS
Principal Investigator
KUNITA Hiroshi
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for international Scientific Research
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
KYUSHU UNIVERSITY
Cooperative Research on PDE
Principal Investigator
OKAJI Takeshi
,
岩崎 敷久
Project Period (FY)
1996 – 1998
Research Category
Grant-in-Aid for international Scientific Research
Research Field
解析学
Research Institution
KYOTO UNIVERSITY
Stochastic analysis on a loop group
Principal Investigator
SHIGEKAWA Ichiro
Project Period (FY)
1996 – 1997
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
KYOTO UNIVERSITY
Probability theory related to analysis and geometry
Principal Investigator
OGURA Yukio
Project Period (FY)
1995 – 1996
Research Category
Grant-in-Aid for Scientific Research (A)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Saga University
Research on random phenomena by the methods of modern mathematics
Principal Investigator
Principal Investigator
WATANABE Shinzo
Project Period (FY)
1995 – 1998
Research Category
Grant-in-Aid for Scientific Research (A)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
KYOTO UNIVERSITY
Categorical Algebra and Topological Field Theory
Principal Investigator
FUKAYA Kenji
Project Period (FY)
1995 – 1996
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
KYOTO UNIVERSITY
Analytic and geometric studies of group representations and their applications
Principal Investigator
NOMURA Takaaki
Project Period (FY)
1994 – 1995
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
解析学
Research Institution
KYOTO UNIVERSITY
確率過程論とloop空間上の確率解析
Principal Investigator
重川 一郎
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
Kyoto University
確率過程論とその応用研究
Principal Investigator
Principal Investigator
渡辺 信三
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
Kyoto University
Modern Analysis for the Equations of Mathematical Science
Principal Investigator
NISHIDA Takaaki
Project Period (FY)
1992 – 1994
Research Category
Grant-in-Aid for General Scientific Research (A)
Research Field
解析学
Research Institution
KYOTO UNIVERSITY
複素多様体の幾何とその解析的研究
Principal Investigator
谷口 雅彦
Project Period (FY)
1990
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kyoto University
Modern Mathematical Research for Equations in Mathematical Physics
Principal Investigator
NISHIDA Takaaki
Project Period (FY)
1990 – 1991
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
解析学
Research Institution
Kyoto University
数理物理の現代数学的研究
Principal Investigator
IKEBE Teruo
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
解析学
Research Institution
Kyoto University
複素多様体の幾何学的及び解析的研究とその応用
Principal Investigator
谷口 雅彦
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kyoto University
Comprehensive Study of Probability Theory
Principal Investigator
KUNITA Hiroshi
Project Period (FY)
1989 – 1990
Research Category
Grant-in-Aid for Co-operative Research (A)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kyushu University
Mathematical Study on Stochastic Models
Principal Investigator
Principal Investigator
WATANABE Shinzo
Project Period (FY)
1987 – 1988
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kyoto University
多様体の位相的・代数的研究
Principal Investigator
戸田 宏
Project Period (FY)
1986
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Kyoto University
近代函数論の位相的解析的研究
Principal Investigator
KUSUNOKI Yukio
Project Period (FY)
1986
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kyoto University
Group-theoretical research of eigenvalue problems and its applications
Principal Investigator
YOSHIZAWA Hisaaki
Project Period (FY)
1985 – 1986
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kyoto University
# of Projects (Dsc)
# of Projects (Asc)
1.
TANIGUCHI Masahiko
(50108974)
# of Collaborated Projects:
10 results
# of Collaborated Products:
0 results
2.
SHIGEKAWA Ichiro
(00127234)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
3.
HIRAI Takeshi
(70025310)
# of Collaborated Projects:
8 results
# of Collaborated Products:
0 results
4.
IKEBE Teruo
(00025280)
# of Collaborated Projects:
7 results
# of Collaborated Products:
0 results
5.
NISHIDA Takaaki
(70026110)
# of Collaborated Projects:
7 results
# of Collaborated Products:
0 results
6.
IWASAKI N
(70027374)
# of Collaborated Projects:
5 results
# of Collaborated Products:
0 results
7.
KOKUBU Hiroshi
(50202057)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
8.
OKAJI Takeshi
(20160426)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
9.
NOMURA Takaaki
(30135511)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
10.
KUMAGAI Takashi
(90234509)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
11.
KUNITA Hiroshi
(30022552)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
12.
UENO Kenji
(40011655)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
13.
YOSHIDA Nobuo
(40240303)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
14.
HINO Masanori
(40303888)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
15.
TAKAHASHI Yoichiro
(20033889)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
16.
NISHIDA Goro
(00027377)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
17.
OGURA Yukio
(00037847)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
18.
足立 正久
(50025285)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
19.
JIMBO Michio
(80109082)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
20.
FUNAKI Tadahisa
(60112174)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
21.
YAMAGUTI Masaya
(30025796)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
22.
KONO Akira
(00093237)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
23.
KUSUNOKI Yukio
(90025221)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
24.
KOTANI Shinichi
(10025463)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
25.
HIJIKATA Hiroaki
(00025298)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
26.
UMEDA Toru
(00176728)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
27.
TANIGUCHI Setsuo
(70155208)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
28.
永田 雅宜
(00025230)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
29.
戸田 宏
(60025236)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
30.
SHIGA Tokuzo
(60025418)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
31.
ITO Yuuji
(90112987)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
32.
NAGAI Hideo
(70110848)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
33.
IKEDA Nobuyuki
(00028078)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
34.
FUKAYA Kenji
(30165261)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
35.
SHIMIZU Yuji
(80187468)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
36.
DOI Shin-ichi
(00243006)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
37.
SUGITA Hiroshi
(50192125)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
38.
SATO Hiroshi
(30037254)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
39.
KIGAMI Jun
(90202035)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
40.
YOSHIZAWA Hisaaki
(50025219)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
41.
後藤 泰宏
(70205615)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
42.
大竹 博巳
(70168970)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
43.
若野 功
(00263509)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
44.
松本 裕行
(00190538)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
45.
溝畑 茂
(20025216)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
46.
志賀 啓成
(10154189)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
47.
土谷 正明
(50016101)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
48.
田中 洋
(70011468)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
49.
山下 博
(30192793)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
50.
岩塚 明
(40184890)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
51.
斎藤 政彦
(80183044)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
52.
伊藤 宏
(90243005)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
53.
楠岡 成雄
(00114463)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
54.
DE CARLI Laura
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
55.
FERONE Vincenzo
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
56.
TROMBETTI Guido
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
57.
LAURA De Car
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
58.
VINCENZO Fer
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
59.
GUIDO Trombe
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
60.
POSTERARO Ma
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
61.
ALVIO Angero
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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