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ITOU Keiichi  伊東 恵一

ORCIDConnect your ORCID iD *help
Researcher Number 50268489
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2010 – 2014: Setsunan University, 理工学部, 教授
1997 – 2010: SESTUNSN UNIVERSITY PROFESSOR MATHEMATICS DEPARTMENT, 工学部, 教授
1996: 摂南大学, 工学部, 助教授
Review Section/Research Field
Principal Investigator
Global analysis / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Global analysis
Keywords
Principal Investigator
Renormalization Group / Pauli-Fierz Model / Scaling / O(N) Spin Model / 繰りこみ群 / 相転移 / 臨界現象 / 乱流 / ナヴィエ・ストークス方程式 / シグマ模型 … More / ブロックスピン変換 / O(N)Spin Model / Recursion Formula / Ground State / 非線形方程式 / 流体 / アンダーソン局在 / くりこみ群 / 格子ゲージ模型 / スケーリング / 中心極限定理 / self-avoiding walk / block spin変換 / くり込み群 / O(N)スピン模型 / Pouli-Fierz Model / Auxiliary Field / Block Spin Transformation / Anderson Localization / リッチ・フロウ / スピンモデル / リッチフロウ / パターシ形成 / ベルナール流 / クオーク幽閉 / アハラノフーボーム効果 / ソレノイド / ミレニアム問題 / くりこみ群の流れ / 無限自由度での積分 / スケーリング則 / スピン模型 / 疎視化 / 非線形現象 / 協力現象 / ブロック スピン 変換 / 繰りこみ群の流れ / 臨界点 / Heisenberg モデル / Navier-Stokes 方程式 / 境界壁 / 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 / 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 / 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 / Navier-Stokes Equation / Couette Flow / Hopf Bifurcation / Kolmogorov law / Renormatization Group / Recursion Formura / Point Interaction / Resolvent / Degeneracy / Ο(N) Spin Model / Flow / Hierarchical Model / Dyson-wilson System / point interaction / resolvent / Renirmalization Group / Point Process / Para-Stotics / Ground Stotes / Para-Statics / Ground States / Renormalization / point process / para-statics / パラ統計 / 古典量子電気力学 / ボースアインシュタイン凝縮 / 非相対論的量子電気力学 / Phase Transition / Critical Phenomena / Non-linear PDE / fluid mechanics / turbulence / Para Statistics / Pauli-Fiertz Model … More
Except Principal Investigator
スペクトル解析 / 場の量子論 / 基底状態 / 汎関数積分 / レヴィー過程 / スペクトル散乱理論 / 無限次元解析 / 散乱理論 / 半群 / シュレディンガー作用素 / ギブス測度 / くりこみ / Navier-Stokes方程式 / 乱流 / random walks / QED / 確率過程 / 1パラメター半群 / 関数解析 / 統計力学 / 確率場 / Bose-Einstein凝縮 / 関数解析学 / 量子統計力学 / 自己共役拡張 / 境界条件 / 位相因子 / 基底状態相転移 / 量子相転移 / エネルギーレベル交差 / 特異性 / 自己共役作用素 / 自己共役拡大 / アハラノフ・ボーム位相 / 回路量子電磁気学 / 強結合領域 / 超強結合領域 / 共振器量子電磁気学 / 特異点 / 非可換振動子 / energy level crossing / 非可換調和振動子 / cavity / ナビエ・ストークス方程式 / ベナール・マランゴニ対流 / 圧縮性熱対流 / 定常・周期解分岐 / 自由表面流 / 定常解分岐 / 周期解分岐 / ファインマンカッツ公式 / シュレディンガ-作用素 / レヴィー測度 / 場の理論 / スピン / Bernstein関数 / ファインマン-カッツ公式 / ベルンシュタイン関数 / 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 / 漸近場 / 質量くりこみ / 個数作用素 / Carlema作用素 / 重複度 / ハシルトニアン / 赤外・紫外発散 / Ground states / Asymptotic fields / Spectral scattring theory / Mass renormalization / Number operators / Carleman operators / Multiplicity / ファインマン・カッツの公式 / 埋蔵固有値 / パウリ・フィールツ模型 / くりこみ群 / 有効質量 / 経路空間上のギブス測度 Less
  • Research Projects

    (17 results)
  • Research Products

    (76 results)
  • Co-Researchers

    (21 People)
  •  くりこみ群の数学的解析と数理科学における応用Principal Investigator

    • Principal Investigator
      伊東 恵一
    • Project Period (FY)
      2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Setsunan University
  •  Non-perturbative spectral analysis of quantum system by stochastic method

    • Principal Investigator
      HIROSHIMA Fumio
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Applications of Renormalization Group Methods in Mathematical SciencesPrincipal Investigator

    • Principal Investigator
      ITO Keiichi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Setsunan University
  •  Bifurcation and structure of solutions for fluid dynamical systems

    • Principal Investigator
      TERAMOTO Yoshiaki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Setsunan University
  •  Non-perturbative analysis of quantum interaction systems

    • Principal Investigator
      HIROSHIMA Fumio
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Research of quantum statistical mechanics in terms of random fields

    • Principal Investigator
      TAMURA Hiroshi
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  Operator-Analytical Study of Singularities Appearing in Quantum Theory

    • Principal Investigator
      HIROKAWA Masao
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Okayama University
  •  Mathematical Study of Renormalization Groups and applications to Dynamical SystemPrincipal Investigator

    • Principal Investigator
      ITO KeiichiR.
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Setsunan University
  •  量子場と結合したシュレディンガー作用素のスペクトルと有効質量の研究

    • Principal Investigator
      廣島 文生
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Mathematical Foundation of the Renormalization Group Methods and its Applications in Mathematical SciencesPrincipal Investigator

    • Principal Investigator
      ITO Keeichi
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Setsunan University
  •  Nonperturbative analysis of charged-particle-system interacting with a quantum field

    • Principal Investigator
      HIROSHIMA Fumio
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Setsunan University
  •  MATHEMATICAL STUDY OF RENORMALIZATION GROUP AND APPLICATIONSPrincipal Investigator

    • Principal Investigator
      R.ITO Keiichi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  MATHEMATICAL FOUNDATIONS OF RENORMALIZATION GROUP AND THEIR APPLICATIONS TO MATHEMATICAL SCIENCESPrincipal Investigator

    • Principal Investigator
      ITO Keiichi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  DEVELOPEMENT OF RENORMALIZATION GROUP METHODS AS TOOLS OF ANALYSIS AND THEIR APPLICATIONS TO DYNAMICAL SYSTEMSPrincipal Investigator

    • 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
      IKEBE Teruo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  MATHEMATICAL FOUNDATIONS OF RENORMALIZATION GROUP THEORY AND ITS APPLICATIONSPrincipal Investigator

    • 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
      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

All 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] 数理科学 書評 「今度こそわかるファイマン経路積分」2015

    • Author(s)
      伊東恵一
    • Total Pages
      1
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-26400153
  • [Book] 数理物理学の方法, ノイマンコレクション I2013

    • Author(s)
      伊東恵一, 一瀬孝, 新井朝雄,  岡本久, 高橋広治
    • Total Pages
      450
    • Publisher
      ちくま書房
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Book] von Neumann の数理物理学論文の翻訳と解説(仮題)2013

    • Author(s)
      伊東恵一
    • Total Pages
      50
    • Publisher
      筑摩書房
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Book] 数理物理学の方法 , ノイマンコレクション I ( 翻訳と解説 )2013

    • Author(s)
      伊東恵一, 一瀬孝, 岡本久, 他
    • Total Pages
      450
    • Publisher
      ちくま書房
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Book] Applications of renorrmalization group methods in Mathematical Sciences (RIMS Kokyuroku, vol.1805)2012

    • Author(s)
      Keiichi R.Ito
    • Total Pages
      12
    • Publisher
      Research Inst. for Mathematical Sciences
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Book] 解析学と物理学 , 数理科学 No.5872012

    • Author(s)
      伊東恵一 , 編著
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Book] SGCライブラリーvol.81繰りこみ群の物理と数理2011

    • Author(s)
      伊東恵一
    • Total Pages
      160
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-20540221
  • [Book] 繰り込み群の数理科学における応用 , SGC ライブラリー , vol.812011

    • Author(s)
      伊東恵一
    • Total Pages
      148
    • Publisher
      サイエン社
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Book] 繰りこみ群の物理と数理2010

    • Author(s)
      伊東恵一
    • Total Pages
      160
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] Absence of Phase Transitions in 2D O(N) Spin Models and Renormalization Group Analysis2014

    • Author(s)
      Keiichi R. Ito
    • Journal Title

      数理解析研究所講究録

      Volume: 1904号 Pages: 147-159

    • Data Source
      KAKENHI-PROJECT-23540257
  • [Journal Article] Renormalization Group Flow of 2D O(N) Spin Modela and Absence of Phase Transitions for Very Large N2014

    • Author(s)
      K.R.IIto
    • Journal Title

      数理解析研究所講究録

      Volume: 1900 Pages: 147-158

    • Data Source
      KAKENHI-PROJECT-23540257
  • [Journal Article] Absence of Phase Transitions in 2D O(N) Heisenberg Model2012

    • Author(s)
      Keiichi R. Ito
    • Journal Title

      数理解析研究所講究録

      Volume: 1805 号 Pages: 51-62

    • Data Source
      KAKENHI-PROJECT-23540257
  • [Journal Article] Absence of Phase Transitions in 2D O(N) Spin Models, --Analysis of RG flow ---2012

    • Author(s)
      Keiichi R. Ito
    • Journal Title

      数理解析研究所講究録

      Volume: 1800 (予定) Pages: 50-62

    • Data Source
      KAKENHI-PROJECT-23540257
  • [Journal Article] 数理物理学(繰りこみ群)からみたペレルマン理論2010

    • Author(s)
      伊東恵一
    • Journal Title

      数理物理学への誘い

      Volume: 7 Pages: 53-100

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] 数理物理学(繰りこみ群)から見たペレルマン理論2010

    • Author(s)
      伊東恵一
    • Journal Title

      数理物理学への誘い(河東康之編)(遊星社) vol.7

      Pages: 53-100

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] 数理物理学(繰りこみ群)からみたペレルマン理論2010

    • Author(s)
      伊東恵一
    • Journal Title

      数理物理への誘い(遊星社) 7

      Pages: 53-100

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] 繰りこみ群とリッチフロウ2009

    • Author(s)
      伊東恵一
    • Journal Title

      数理科学“現代数学はいかに使われているか「幾何篇」" No. 550

      Pages: 36-37

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] 繰りこみ群とリッチフロウ2009

    • Author(s)
      伊東恵一
    • Journal Title

      数理科学 550

      Pages: 36-37

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] Critical Discussion of Tomboulis's Approach to the Confinement Problem2009

    • Author(s)
      Keiichi R. Ito
    • Journal Title

      PoS (Proceedings of Science) "Confinement 8 (Mainz)"

      Pages: 1-5

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] 繰りこみ群とリッチフロウ2009

    • Author(s)
      伊東恵一
    • Journal Title

      数理科学(サイエンス社) No.550

      Pages: 36-37

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] PoS (Proceedings of Sciences)2008

    • Author(s)
      伊東恵一
    • Journal Title

      Critical Discussion of Tomboulis' Approachto the Confinement Problem

      Pages: 1-4

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] Random Point Fields for Para-particles of any order2008

    • Author(s)
      K.R.Ito, H.Tamura
    • Journal Title

      Journal of Mathematical Physics 48

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] One-Dimensional Schroedinger Equations and Renormalizations Groups of Wegner-Houghton-Aoki type2008

    • Author(s)
      伊東恵一
    • Journal Title

      数理解析研究所講究録 1600

      Pages: 204-218

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] One-Dimensional Schroedinger Equations And Renormalization Group of Wegner-Houghton-Aoki type2008

    • Author(s)
      伊東恵一
    • Journal Title

      数理解析研究所講究録 No.1600

      Pages: 204-218

    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] Random Point Fields for Para Particles of Any Order.2007

    • Author(s)
      伊東恵一, 田村博志
    • Journal Title

      Jour.Math.Phys. 48・2

    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] A random point field related to Bose Einstein condensation2007

    • Author(s)
      K. R. Ito, and H. Tamura
    • Journal Title

      Journal of Functional Analysis 243

      Pages: 207-231

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540181
  • [Journal Article] Mass renormalization in nonrelativisitc quantum electrodynamics with spin 1/22007

    • Author(s)
      F. Hiroshima, K. R. Ito
    • Journal Title

      Reviews in Mathematical Physics 19

      Pages: 405-454

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540181
  • [Journal Article] Mass Renormalization in Non-Relativistic QED with spin 1/22007

    • Author(s)
      K.R.Ito, F.Hiroshima
    • Journal Title

      Reviews in Mathematical Physics 19

      Pages: 405-454

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Random Point Fields Related to Bose-Einstein Condensation2007

    • Author(s)
      K. R. Ito, H. Tamura
    • Journal Title

      Jour. Funct. Anal. vol.243

      Pages: 207-231

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Fourier Transformation of 2D O(N) Spin Models and Anderson Localization2007

    • Author(s)
      伊東恵一, 廣島文生, 田村博志
    • Journal Title

      数理研講録 No.1482「繰り込み群の数理科学での鷹揚」(伊東恵一 編) 1482

      Pages: 205-224

    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Mass Renormalization in Non-Relativistic Quantum Electro Dynamics with Spin 1/22007

    • Author(s)
      K. R. Ito, F. Hiroshima
    • Journal Title

      Rev. in Math. Phys. vol.19

      Pages: 405-454

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Mass renormalization in nonrelativistic QED with spin 1/22007

    • Author(s)
      Hiroshima, KR.Ito
    • Journal Title

      Reviews in Mathematical Physics (未定)(掲載決定)

    • Data Source
      KAKENHI-PROJECT-17540181
  • [Journal Article] Random Point Fields Related for Para-Particles of any order2007

    • Author(s)
      K. R. Ito, H. Tamura
    • Journal Title

      Journ. Math. Phys. vol.48

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] A Random Point Field Related to Bose Einstein Condensation2007

    • Author(s)
      伊東恵一, 田村博志
    • Journal Title

      Jour.Functional Analysis 243

      Pages: 207-231

    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Mass renormalization in nonrelativisitc quantum electrodynamics with spin 1/22007

    • Author(s)
      F. Hiroshima, and K. R. Ito
    • Journal Title

      Reviews in Mathematical Physics 19

      Pages: 405-454

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540181
  • [Journal Article] A random point field related to Bose Einstein condensation2007

    • Author(s)
      K. R. Ito, H. Tamura
    • Journal Title

      Journal of Functional Analysis 243

      Pages: 207-231

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540181
  • [Journal Article] A Random Point Field Related to Bose-Condensation2007

    • Author(s)
      K.R.Ito, H.Tamura
    • Journal Title

      Journal of Functional Analysis 243

      Pages: 207-231

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] A random point field related to Bose-Einstein Condensation2007

    • Author(s)
      K.R.Ito, H.Tamura
    • Journal Title

      Journal of Functional Analysis 243

      Pages: 207-231

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Random Point Fields for Paraparticles of any order2007

    • Author(s)
      K.R.Ito, H.Tamura
    • Journal Title

      Journal of Mathematical Physics 48

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Mass Renormalization in Non-Relativistic QED with Spin 1/22007

    • Author(s)
      K.R.Ito, F.Hiroshima
    • Journal Title

      Reviews in Mathematical Physics 19

      Pages: 405-454

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Fourier transformation of 2D O(N)spin model and Anderson localization2006

    • Author(s)
      K. R. Ito, F. Hiroshima, H. Tamura
    • Journal Title

      京都大学数理解析研究所講究録 1482

      Pages: 205-224

    • Data Source
      KAKENHI-PROJECT-17540181
  • [Journal Article] A Canonical ensemble approach to the fermion/boson random point processes and its applications2006

    • Author(s)
      伊東恵一, 田村博志
    • Journal Title

      Communications in Math. Physics 256巻2号

      Pages: 353-380

    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] A canonical ensemble approach to the Fermion/Boson random point processes and its applications2006

    • Author(s)
      K. R. Ito, H. Tamura
    • Journal Title

      Communications in Mathematical Physics 263

      Pages: 353-380

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540181
  • [Journal Article] Effective Mass of Non-relativistic Quantum Electrodynamics2006

    • Author(s)
      伊東恵一, 広島文生
    • Journal Title

      アーカイブmp-arc O5-439 数理解析研究所講究録 (印刷中)(出版予定)

    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Two-Dimensional O(N) Spin Model and Anderson Localization2006

    • Author(s)
      伊東恵一, 広島文生, 田村博志
    • Journal Title

      数理解析研究所講究録 (印刷中)(出版予定)

    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] A Canonical Ensemble Approach to the Fermion/Boson Random Point Process and its applications2006

    • Author(s)
      K. R. Ito, H. Tamura
    • Journal Title

      Commun. Math. Phys. vol.263

      Pages: 353-380

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] Effective mass of nonrelativistic quantum electrodynamics2006

    • Author(s)
      F. Hiroshima, K. R. Ito
    • Journal Title

      京都大学数理解析研究所講究録 1482

      Pages: 22-46

    • Data Source
      KAKENHI-PROJECT-17540181
  • [Journal Article] 場の理論の於ける発散と繰り込み群2006

    • Author(s)
      伊東恵一
    • Journal Title

      数理科学特集号「場の量子論の広がり」 10月号

      Pages: 119-125

    • Data Source
      KAKENHI-PROJECT-17540208
  • [Journal Article] A Canonical Ensemble Approach to the Fermion/Boson Point Processes and its applications2005

    • Author(s)
      K.R.Ito
    • Journal Title

      Comm.Math.Phys (出版予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] A Canonical Ensemble Approach to the Fermien/Boscn Point Processes and its applications2005

    • Author(s)
      K.R.Ito
    • Journal Title

      Comm.Math.Phys (出版予定)

    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] Mass Renormalization in Non-Relativistic Quantum Electrodynamics with Spin 1/22005

    • Author(s)
      K.R.Ito, F.Hiroshima
    • Journal Title

      Annales Henri Poincare (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] A Canonical Ensemble Approach to the Fermion/Boson Point Processes and its Applications2005

    • Author(s)
      K.R.Ito, H.Tamura
    • Journal Title

      Commun.in Math.Phys. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] Mass Renormalization in Non-Relativistic Quantum Electrodynamics with spin 1/22005

    • Author(s)
      K.R.Ito
    • Journal Title

      Annales Henri Poincare (出版予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] Anderson Localizations of the Green's Function with complex Potentials and the 2D O(N) Spin Model2004

    • Author(s)
      K.R.Ito
    • Journal Title

      RIMS Kokyuroku in Appl.of RG Methods in Math.Sciences (2004, July, Kyoto Univ.) No.1386

      Pages: 211-236

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] Local exponent and infinitestimal generators of proper canonical transformations2004

    • Author(s)
      F.Hiroshima, K.R.Ito
    • Journal Title

      Infinite dimensional analysis, quantum probability and related topics 7

      Pages: 547-572

    • Data Source
      KAKENHI-PROJECT-15540191
  • [Journal Article] Anderson Localization of the Green's Function with Complex Potentials and 2D O(N) Spin Model2004

    • Author(s)
      K.R.Ito
    • Journal Title

      RIMS Kokyuroku 1386

      Pages: 211-211

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] Local Exponents and Infinitesimal Generators of Canenical Transformation on Boscn Focle Spaces2004

    • Author(s)
      K.R.Ito
    • Journal Title

      Infinite Dimensional Analysis, Quantum Probability and Related Topics 7

      Pages: 547-571

    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] Local Exponents and Infinitesimal Generators of Canonical Transfor2004

    • Author(s)
      K.R.Ito
    • Journal Title

      Infinite Dimensional Analysis, Quantom Probability and Related Topics 7

      Pages: 547-547

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] Local Exponents and Infinitesimal Generators of Canonical Transformations on Boson Fock Spaces2004

    • Author(s)
      K.R.Ito, F.Hiroshima
    • Journal Title

      IDAQPRT vol.7 No.4

      Pages: 547-571

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Journal Article] Local exponent and infinitesimal generators of proper canonical transformations2004

    • Author(s)
      F.Hiroshima, K.R.Ito
    • Journal Title

      Infinite dimensional analysis, quantum probability and related topics 7

      Pages: 547-572

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540191
  • [Journal Article] Anderson Localization of the Green's Function with Complex Potentials and the 20 OCN1 Spin Model2004

    • Author(s)
      K.R.Ito
    • Journal Title

      RIMS Kokyuroku 1386

      Pages: 211-236

    • Data Source
      KAKENHI-PROJECT-15540222
  • [Presentation] Block Spin Transformation of 3D O(N) sigma model, Toward solving a Milennium Problem2015

    • Author(s)
      Keiichi R. Ito
    • Organizer
      Courant Institute Probability Seminar
    • Place of Presentation
      New York University[ニューヨーク,アメリカ合衆国]
    • Year and Date
      2015-03-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400153
  • [Presentation] Recent Topics in Rigorous Proof of Quark Confinement in Lattice Gauge Theory2015

    • Author(s)
      Keiichi R. Ito
    • Organizer
      Kavli IPMU Mathematics Seminar
    • Place of Presentation
      Kavli IPMU (Tokyo Univ.)[千葉県柏市]
    • Year and Date
      2015-05-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400153
  • [Presentation] Absence of Phase Transitions in Two-Dimensional O(N) Heisenberg model with large N2014

    • Author(s)
      K.R.Ito
    • Organizer
      Harvard University Physics Seminar
    • Place of Presentation
      Harvard University
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Presentation] Millenium Problem, Study of 2D O(N) Spin model2013

    • Author(s)
      K.R.Ito
    • Organizer
      数理解析研究所研究集会
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Presentation] Study of O(N) Spin Model by RG Method and absence of Phase Transition2013

    • Author(s)
      K.R.Ito
    • Organizer
      Helsinki University Physics Seminar
    • Place of Presentation
      Helsinki
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Presentation] Absence of Phase Transitions in 2D O(N) Spin Model2012

    • Author(s)
      伊東恵一
    • Organizer
      第17回国際数理物理学会
    • Place of Presentation
      Aalborg (Denmark)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Presentation]2012

    • Author(s)
      K.R.Ito
    • Organizer
      17th International Congress of Mathematical Physics
    • Place of Presentation
      Aalborg (Debmark)
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Presentation] Absence of Phase Transitions in 2D O(N) Spin Models, --Analysis of the RG flow--2012

    • Author(s)
      Keiichi R. Ito
    • Organizer
      MaxPlanck Institute Seminar(招待講演)
    • Place of Presentation
      Max Planck Institute for Physics (Munich)
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Presentation] Absence of Phase Transitions in 2D O(N) Spin Models2011

    • Author(s)
      伊東 恵一
    • Organizer
      京都大学数理解析研究所研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540257
  • [Presentation] New and old unsolved problems in mathematical physics and Renormalization group method2009

    • Author(s)
      Keiichi R.Ito
    • Organizer
      数理解析研究所共同研究集会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-09-11
    • Data Source
      KAKENHI-PROJECT-20540221
  • [Presentation] 数理物理学(繰りこみ群)的視点からみたペレルマンの論文について2008

    • Author(s)
      伊東恵一
    • Organizer
      数理物理2008
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-20540221
  • [Presentation] 数理物理学(繰り込み群)的視点からみたペレルマンの論文について2008

    • Author(s)
      伊東恵一
    • Organizer
      数理物理2008リッチフロウの微分幾何と位相幾何
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-20540221
  • [Presentation] Random Point Fields and Exotic Statistics of particles2007

    • Author(s)
      伊東 恵一
    • Organizer
      OPセミナー(岡山特別セミナー)
    • Place of Presentation
      岡山大学
    • Year and Date
      2007-07-14
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Presentation] Random Point Fields and Exotic Statistics of Particles2007

    • Author(s)
      伊東 恵一
    • Organizer
      OPセミナー(岡山特別セミナー)
    • Place of Presentation
      岡山大学
    • Year and Date
      2007-07-14
    • Data Source
      KAKENHI-PROJECT-17540208
  • [Presentation] Block Spin Transformation of 3D O(N) sigma model, Toward solving a Milennium Problem

    • Author(s)
      伊東恵一
    • Organizer
      数理解析研究所研究会
    • Place of Presentation
      数理解析研究所(京都大学)[京都府京都市]
    • Year and Date
      2015-02-23 – 2015-02-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400153
  • 1.  TERAMOTO Yoshiaki (40237011)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 2.  HIROSHIMA Fumio (00330358)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 9 results
  • 3.  SHIMADA ShinーIchi (40196481)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  HIROKAWA Masao (70282788)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  WATARAI Seizo (20131500)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  IKEBE Teruo (00025280)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  ONO Hiroaki (50100780)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  MATSUI Taku (50199733)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  TAMURA Hiroshi (80188440)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  NAKAWAKI Yuuji (60207959)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  OBATA Nobuaki (10169360)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  NAKANO Fumihiko (10291246)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  HATTORI Tetsuya (10180902)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  TAMURA Hideo (30022734)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  OSHITA Yoshihito (70421998)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  KAWABI Hiroshi (80432904)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  NISHIDA Takaki (70026110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  SASAKI Itaru (50558161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  SUZUKI Akito (70585611)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  宮尾 忠宏 (20554421)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  NAKABAYASHI Kouzaburo (30207857)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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