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IKEBE Teruo
池部 晃生
Connect your ORCID iD
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Researcher Number
00025280
Affiliation (based on the past Project Information)
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1996 – 2000 : 摂南大学, 工学部, 教授
1986 – 1992 : Kyoto Univ. Fac. of Sci. Professor, 理学部, 教授
1986 : 京大, 理学部, 教授
Review Section/Research Field
Except Principal Investigator
解析学
/
General mathematics (including Probability theory/Statistical mathematics)
/
Global analysis
Keywords
Except Principal Investigator
散乱理論 / 双曲型方程式 / Navier-Stokes方程式 / くり込み群 / block spin変換 / Renormalization Group / O(N)スピン模型 / 楕円型方程式 / self-avoiding walk / Wiener汎関数
…
More
/ Aharonov-Bohm効果 / Navier-Stokes equaion / 自由表面問題 / 繰り込み群 / 可解格子模型 / random walks / 確率微分方程式 / Critical Temperature / scattering theory / Duffing方程式 / 流体方程式 / O(N)Spin Model / ユニタリ表現 / スペクトル / スペクトル理論 / 相函数 / block spin 変換 / ナヴィエ・ストークス方程式 / Random Walk / Dissipation / 乱流 / 乱歩 / 確率解析 / Viscosity / Kolmogorov則 / 臨界温度 / 量子力学の方程式 / Kormogorov law / 相対論的シュレーディンガー方程式 / O(N)spin model / 経路積分 / モーメント列 / 解空間の構造 / 特異性の位数 / 特異性 / シュレーディンガー方程式(作用素) / Equation of Quantum Mechanics / Mallianin解析 / 散乱 / 古典スピン系 / singularity / 大偏差原理 / スケーリング / PISTON PROB. / 時間的大域解 / 流体の方程式 / シュレーディンガ作用素 / Kolmogorov理論 / 量子力学的3体系 / カオス / 一階擬微分作用素 / relativistic quantum mechanics / Kolmogorov 則 / Dirac equation / Periodic solutions of Duffing equations / BMO函数 / 複素多様体 / 保型形式の空間 / turbulence / 精度保証付き数値計算 / 環積 / Hopf Bifurcation / ヘッケ作用素 / Dynamical System / 準楕円性 / Sobolev空間 / 固有値問題 / Duffing方程式の周期解 / ラングラケポテンシャルを持つSchrodinger方程式 / 擬微分作用素 / Aharonov-Bohm 効果 / intermittency / Stochastic Diff.Eq. / 双曲的変換の離散部分群 / Hyperbolic P.D.E. / Computer assisted proof / Wiener(ウィ-ナ-)汎関数 / 逆散乱問題 / Fourier integral operator / Validated Numerical Computation / 固有函数(展開) / 解析性 / シュレディンガ-方程式 / 正準変換 / 無限対称群 / 作用素 / 逆問題 / 計算機支援証明法 / Wiener空間上の解析学(Malliavin解析) / Stochastic Analysis / relativistic Schrodinger equation / ホモクリニック倍分岐 / Quasi-sure analtsis / hyperbolic equation / Wiener空間上の解析学 / 離散群 / polymer exponsicn / Bifurcation problems / トポロジ- / 漸化式 / 比較定理 / phase function / self-avoiding walks / Schrodinger operater / フ-リエ積分作用素 / 弾性波 / Hecke operater / Fourier transform / 既約表現 / 超Wiener汎関数と一般化積分 / 非線型解析 / Pavli-Fierz模型 / 超可微分函数族 / hypergroup / unitary representation / Pauli-Fierz模型 / Pauli-Fierz Model / 超リー代数 / Lie superalgebra / 乱歩表現 / 超群 / Free Surface Problems / microlocal order / 相対論的量子力学 / Couette Flow / Navier-Srokes方程式 / DUFFING EQUATION / Wiener超汎関数 / 表現論 / Fractals / randomwalk(乱歩) / 離散部分群 / Navier-Stokes Equation / 解のcollapse / eigenvalue problem / polymer展開 / 散乱作用素 / Wiener Functional / リカッチ方程式 / VISCONS GAS / Fluid dynamical equations / 力学系とカオス / Structure of solution space / INTERVAL ANALYSIS / 指数定理 / Scaling / 保証つき数値計算 / 無限次元リ-群の表現 / classical spin model / COMPUTER PROOF / Stochastic analysis / Aharonov - Bohm effect / ディラック方程式 / 粘性非圧縮流体 / distribution / 木村モデル / Donsberのデルタ関数 / 熱方程式の基本解の漸近理論 / 境界での退化 / ポマンカレ級数 / Equation of Fluid Dynamics / Schrodinger方程式 / block spin transformation / Hopf bifurcation / Wiener空間 / 代数学 / random walk(乱歩) / Navier - Stokes eqs. / 実効的双曲型作用素 / Kraichnan model / フーリエ積分作用素 / 幾何学的Lorenzアトラクター / 熱方程式の基本解 / PERIODIC SOLUTIONS / Aharanov-Bohm効果 / 重みつきのソボレフ空間 / フーリ工積分作用素 / モンテカルロ法 / O (N) Spin Model / 擬等角写像 / Heisenberg群上の双曲型方程式 / Malliavin calculus / Recursion Formula / Spectral Theory / 決定方程式 / 熱方程式の基本解の漸近問題 / 計算機支援証明 / マリアヴァン解析 / Kolmogorov law / connectivity constant / Dynamical Systems and Chaos / 超局所的位数 / scattering operator / フーリエ変換 / Asymptotic problems of heat kernels / Schrodinger型方程式 / 一段擬微分作用素 / O(N) Spin model / 分岐問題 / 双曲的変換 / 周期解 / 放物型方程式 / cluster expansion / 力学系 / 超函数 / canonical mapping / Solvable lattice models / 相対論的不変性 / O(N) Spin Model / Schrodinger作業素 / inverse scattering theory / Generalized Wiener functionals / 区間演算ソフトウェア- / フラクタル / シュレーディンガー作用素 / 関数行列式
Less
Research Projects
(
18
results)
Co-Researchers
(
44
People)
Project Start Year(Newest)
Project Start Year(Oldest)
DEVELOPEMENT OF RENORMALIZATION GROUP METHODS AS TOOLS OF ANALYSIS AND THEIR APPLICATIONS TO DYNAMICAL SYSTEMS
Principal Investigator
ITO Keiichi r.
Project Period (FY)
1999 – 2000
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Global analysis
Research Institution
SETSUNAN UNIVERSITY
STUDY OF DIFFERENTIAL EQUATIONS BY RENORMALIZATION
Principal Investigator
Principal Investigator
IKEBE Teruo
Project Period (FY)
1998 – 1999
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Global analysis
Research Institution
SETSUNAN UNIVERSITY
Inverse scattering problems for Dirac equations
Principal Investigator
ITO Hiroshi
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
解析学
Research Institution
Ehime University
Kyoto University
MATHEMATICAL FOUNDATIONS OF RENORMALIZATION GROUP THEORY AND ITS APPLICATIONS
Principal Investigator
ITO Keiichi R.
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
SETSUNAN UNIVERSITY
STUDY OF DIFFERNTIAL EQUATIONS BY RENORMALIZATION GROUP METHODS
Principal Investigator
Principal Investigator
IKEBE Teruo
Project Period (FY)
1996 – 1997
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
解析学
Research Institution
SETSUNAN UNIVERSITY
確率過程論とその応用研究
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
無限離散群の構造と表現の研究
Principal Investigator
平井 武
Project Period (FY)
1990
Research Category
Grant-in-Aid for General Scientific Research (C)
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
Principal Investigator
池部 晃生
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
解析学
Research Institution
Kyoto University
数理物理学に現れる偏微分方程式の解の研究
Principal Investigator
西田 孝明
Project Period (FY)
1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kyoto University
Research on orders of singularities for solutions to partial differential equations
Principal Investigator
MIYATAKE Sadao
Project Period (FY)
1988 – 1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kyoto University, Faculty of Science
楕円型偏微分方程式の研究
Principal Investigator
島倉 紀夫
Project Period (FY)
1987
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kyoto University
Mathematical Study on Stochastic Models
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
スペクトル・散乱理論とその周辺
Principal Investigator
Principal Investigator
池部 晃生
Project Period (FY)
1986
Research Category
Grant-in-Aid for Co-operative Research (B)
Research Field
解析学
Research Institution
Kyoto University
数理物理学の作用素論的研究
Principal Investigator
Principal Investigator
池部 晃生
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.
HIRAI Takeshi
(70025310)
# of Collaborated Projects :
7results
# of Collaborated Products :
0results
2.
NISHIDA Takaaki
(70026110)
# of Collaborated Projects :
7results
# of Collaborated Products :
0results
3.
WATANABE Shinzo
(90025297)
# of Collaborated Projects :
7results
# of Collaborated Products :
0results
4.
TANIGUCHI Masahiko
(50108974)
# of Collaborated Projects :
5results
# of Collaborated Products :
0results
5.
OKAJI Takashi
(20160426)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
6.
WATARAI Seizo
(20131500)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
7.
TERAMOTO Yoshiaki
(40237011)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
8.
ITO Keiichi R
(50268489)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
9.
足立 正久
(50025285)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
10.
KOKUBU Hiroshi
(50202057)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
11.
KUSUNOKI Yukio
(90025221)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
12.
松本 和一郎
(40093314)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
13.
SHIMADA Shinichi
(40196481)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
14.
上野 健爾
(40011655)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
15.
IWASAKI N
(70027374)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
16.
島倉 紀夫
(60025393)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
17.
YOSHIZAWA Hisaaki
(50025219)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
18.
YAMAGUTI Masaya
(30025796)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
19.
MIYATAKE Sadao
(10025447)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
20.
IWATSUKA Akira
(40184890)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
21.
JIMBO Michio
(80109082)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
22.
HIJIKATA Hiroaki
(00025298)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
23.
NAKAWAKI Yuuji
(60207959)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
24.
永田 雅宜
(00025230)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
25.
梅田 亨
(00176728)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
26.
野村 隆昭
(30135511)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
27.
吉田 伸生
(40240303)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
28.
重川 一郎
(00127234)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
29.
内山 淳
(70025401)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
30.
一瀬 孝
(20024044)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
31.
井川 満
(80028191)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
32.
望月 清
(80026773)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
33.
黒田 成俊
(20011463)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
34.
溝畑 茂
(20025216)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
35.
畑 政義
(40156336)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
36.
吉原 英昭
(10182809)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
37.
西田 吾郎
(00027377)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
38.
ITO Hiroshi
(90243005)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
39.
IGARI Katsujyu
(90025487)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
40.
SADAMATSU Takashi
(10025439)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
41.
土居 伸一
(00243006)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
42.
NAKABAYASHI Kouzaburo
(30207857)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
43.
ONO Hiroaki
(50100780)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
44.
小谷 眞一
(10025463)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
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