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