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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
Principal Investigator
解析学
/
Global analysis
Except Principal Investigator
解析学
/
General mathematics (including Probability theory/Statistical mathematics)
/
Global analysis
Keywords
Principal Investigator
双曲型方程式 / スペクトル / 楕円型方程式 / 散乱理論 / Navier-Stokes方程式 / 乱流 / random walks / Schrodinger作業素 / 非線型解析 / Duffing方程式
…
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/ 準楕円性 / 表現論 / 代数学 / トポロジ- / 散乱 / 作用素 / シュレーディンガー方程式(作用素) / 固有函数(展開) / 経路積分 / 弾性波 / 解析性 / シュレーディンガー作用素 / 放物型方程式 / 擬微分作用素 / フーリ工積分作用素 / 繰り込み群 / 乱歩 / 臨界温度 / O(N)spin model / cluster expansion / Kolmogorov則 / くり込み群 / O(N)スピン模型 / 粘性非圧縮流体 / 時間的大域解 / ナヴィエ・ストークス方程式 / 乱歩表現 / self-avoiding walks / 解のcollapse / Renormalization Group / Random Walk / Critical Temperature / O(N) Spin Model / Navier-Stokes equaion / Viscosity / Kormogorov law / Dissipation / 古典スピン系 / block spin変換 / Aharonov-Bohm効果 / Kolmogorov 則 / block spin 変換 / Aharonov-Bohm 効果 / Navier-Srokes方程式 / classical spin model / block spin transformation / Navier - Stokes eqs. / turbulence / scattering theory / Aharonov - Bohm effect
…
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Except Principal Investigator
ユニタリ表現 / Wiener汎関数 / 相函数 / 量子力学の方程式 / スペクトル理論 / 確率解析 / 自由表面問題 / 可解格子模型 / 流体方程式 / 確率微分方程式 / 散乱理論 / self-avoiding walk / block spin変換 / O(N)Spin Model / くり込み群 / O(N)スピン模型 / Renormalization Group / 離散群 / 環積 / 無限対称群 / 既約表現 / 複素多様体 / 擬等角写像 / ポマンカレ級数 / BMO函数 / Wiener空間 / Mallianin解析 / Quasi-sure analtsis / Wiener超汎関数 / Donsberのデルタ関数 / 大偏差原理 / Sobolev空間 / 境界での退化 / モーメント列 / 決定方程式 / 比較定理 / 超可微分函数族 / 実効的双曲型作用素 / 重みつきのソボレフ空間 / DUFFING EQUATION / PERIODIC SOLUTIONS / COMPUTER PROOF / INTERVAL ANALYSIS / VISCONS GAS / PISTON PROB. / 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 / 無限次元リ-群の表現 / シュレディンガ-方程式 / マリアヴァン解析 / 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 / 双曲型方程式 / 力学系 / 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 / 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 / ディラック方程式 / 散乱作用素 / 逆散乱問題 / 相対論的量子力学 / 相対論的シュレーディンガー方程式 / 相対論的不変性 / Dirac equation / scattering operator / scattering theory / inverse scattering theory / relativistic quantum mechanics / relativistic Schrodinger equation / random walk(乱歩) / 繰り込み群 / O(N) Spin model / 臨界温度 / randomwalk(乱歩) / block spin 変換 / 関数行列式 / 乱歩 / polymer exponsicn / ナヴィエ・ストークス方程式 / Kolmogorov則 / モンテカルロ法 / Random Walk / Critical Temperature / O (N) Spin Model / Navier-Stokes equaion / Viscosity / Kormogorov law / Dissipation / 漸化式 / スケーリング / Navier-Stokes方程式 / Hopf bifurcation / Aharonov-Bohm効果 / Pauli-Fierz模型 / Pavli-Fierz模型 / connectivity constant / polymer展開 / Kolmogorov理論 / intermittency / Kraichnan model / Aharanov-Bohm効果 / Recursion Formula / Scaling / Pauli-Fierz Model / Navier-Stokes Equation / Couette Flow / Hopf Bifurcation / Kolmogorov law / 固有値問題 / フーリエ変換 / 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 / 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 / 超函数 / 特異性 / 超局所的位数 / フ-リエ積分作用素 / 正準変換 / 一階擬微分作用素 / 一段擬微分作用素 / リカッチ方程式 / 特異性の位数 / フーリエ積分作用素 / microlocal order / singularity / distribution / Fourier integral operator / canonical mapping / hyperbolic equation / phase function
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:
7 results
# of Collaborated Products:
0 results
2.
NISHIDA Takaaki
(70026110)
# of Collaborated Projects:
7 results
# of Collaborated Products:
0 results
3.
WATANABE Shinzo
(90025297)
# of Collaborated Projects:
7 results
# of Collaborated Products:
0 results
4.
TANIGUCHI Masahiko
(50108974)
# of Collaborated Projects:
5 results
# of Collaborated Products:
0 results
5.
OKAJI Takashi
(20160426)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
6.
WATARAI Seizo
(20131500)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
7.
TERAMOTO Yoshiaki
(40237011)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
8.
ITO Keiichi R
(50268489)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
9.
足立 正久
(50025285)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
10.
KOKUBU Hiroshi
(50202057)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
11.
KUSUNOKI Yukio
(90025221)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
12.
松本 和一郎
(40093314)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
13.
SHIMADA Shinichi
(40196481)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
14.
上野 健爾
(40011655)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
15.
IWASAKI N
(70027374)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
16.
島倉 紀夫
(60025393)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
17.
YOSHIZAWA Hisaaki
(50025219)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
18.
YAMAGUTI Masaya
(30025796)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
19.
MIYATAKE Sadao
(10025447)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
20.
IWATSUKA Akira
(40184890)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
21.
JIMBO Michio
(80109082)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
22.
HIJIKATA Hiroaki
(00025298)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
23.
NAKAWAKI Yuuji
(60207959)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
24.
永田 雅宜
(00025230)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
25.
梅田 亨
(00176728)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
26.
野村 隆昭
(30135511)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
27.
吉田 伸生
(40240303)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
28.
重川 一郎
(00127234)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
29.
内山 淳
(70025401)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
30.
一瀬 孝
(20024044)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
31.
井川 満
(80028191)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
32.
望月 清
(80026773)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
33.
黒田 成俊
(20011463)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
34.
溝畑 茂
(20025216)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
35.
畑 政義
(40156336)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
36.
吉原 英昭
(10182809)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
37.
西田 吾郎
(00027377)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
38.
ITO Hiroshi
(90243005)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
39.
IGARI Katsujyu
(90025487)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
40.
SADAMATSU Takashi
(10025439)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
41.
土居 伸一
(00243006)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
42.
NAKABAYASHI Kouzaburo
(30207857)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
43.
ONO Hiroaki
(50100780)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
44.
小谷 眞一
(10025463)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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