Kawai Takahiro 河合隆裕

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KAWAI Takahiro 河合隆裕

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Researcher Number	20027379
Other IDs
External Links
Affiliation (Current)	2023: 京都大学, 数理解析研究所, 名誉教授
Affiliation (based on the past Project Information) *help	2009 – 2017: Kyoto University, 数理解析研究所, 名誉教授 1989 – 2008: 京都大学, 数理解析研究所, 教授 1986 – 1988: 京都大学, 数理解析研究所, 助教授
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / 解析学 Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Basic analysis
Keywords	Principal Investigator 完全WKB解析 / 仮想的変わり点 / Toulouse Project / 高階パンルヴェ方程式 / exact WKB analysis / ストークス曲線 / 完全最急降下法 / 変わり点 / 超局所解析 / a virtual turning point … More / a higher order Painleve equation / Stokes図形 / 0-パラメタ解 / Lax対 / 野海・山田系 / 代数解析学 / ボレル和 / multiple-scale / パンルヴェ函数 / ストークス図形 / 無限階微分作用素 / 動かない特異点 / ガルニエ系 / 超局所解析学 / 単純極作用素 / algebraic analysis / microlocal analysis / a degenerate Garnier system / a turning point of the first kind / a 0-parameter solution / an instanton-type solution / P_J型高階パンルヴェ方程式 / インスタントン展開 / 新しいStokes曲線 / 両立条件 / ハミルトン系 / instanton型 / (パンルヴェ方程式の)第1種変わり点 / Toulouse計画 / ボレル平面 / 形式変換 / ∞-Weber方程式 / 退化ガルニエ系 / 1型変わり点 / インスタントン解 / singular perturbation theory / the exact steepest descent method / a microdifferential operator of WKB type / The Toulouse Project / 陪特性グラフ / Landau-Zener型 / 超局所微分作用素 / WKB型微分作用素 / 無限個の相 / 第2種の変わり点 / 第1種の変わり点 / 西川現象 / ストーク図形 / 高階バンルヴェ方程式 / WKB型擬微分作用素 / 高階パンルヴェ方式 / 特異摂動論 / WKB型超局所微分作用素 / トゥールーズ計画 / natural boundaries / infra-red divergence / virtual turning point / exact steepest descent method / exact steepest descent path / Stokes geometry / 積分表示 / Borel和 / 最急降下路 / 鞍点法 / n-level / 断熱近似 / Landau-Zener / 鞍点 / Borel変換 / 非断熱近似 / ストークス幾何 / 自然境界 / 赤外発散 / 完全最急降下路 / Stokes 幾何学 / deformation (of differential equations) / Stokes curves / Schrodinger equations / Painleve transcendents / monodromy groups / Borel resummation / Exact WKB analysis / 複素フーリエ解析 / Multiple-scale / Painleve函数 / 特異摂動 / 微分方程式の変形 / 保型函数 / 変り点 / (微分方程式の)変形 / 接続公式 / (微分方程式の) 変形 / Stokes曲線 / Schrodinger方程式 / multiple scale / Painleve超越函数 / モノドロミー群 / Borel総和法 / 解析学S-行列論 / ボレル総和法 / acnode / ファインマン積分 / 再生函数論 / Landau-中西幾何学 / Whitneyの傘 / 陪特性帯 / 再生函数 / ボレル総和 / ランダウ・中西曲面 / Pearcey系 / 極大過剰決定系 / 超局所解析的S-行列論 / alien derivative / ボレル変換 / MTP作用素 / 2重変わり点作用素 / ゴースト作用素 / alien calculus / MPPT作用素 / Voros係数 / Mathieu方程式 / trussbridge diagram函数 / 解析的S-行列 / M2P1Tシュレーディンガー方程式 / 3 粒子閾値 / 解析的 S-行列 / 完全 WKB 解析 / fixed singularities / インスタントン型解 / turning points / sigular peturbation / Feynman integral / infrared problem / Sーmatrix / WKB analysis … More Except Principal Investigator 量子群 / 特異摂動 / 代数解析 / 非調和振動子 / 結晶基底 / 代数解析学 / R行列 / 統計力学 / 場の理論 / 定角曲線 / singular perturbation / 混合ホッジ加群 / 可解格子模型 / 表現論 / 確率過程 / アファインリー環 / 完全可積分系 / 無限次元リー環 / 孤立特異点 / Stokes曲線 / Voros係数 / 超幾何関数 / 合流型超幾何微分方程式 / ストークス現象 / 超幾何微分方程式 / WKB解 / 無限次元解析 / Stokes現象 / 接続公式 / WKB解析 / 量子重力 / 作用素環 / XY模型 / マスタ-対称性 / 確率論 / 関数解析 / Borel和 / Watsonの補題 / 無限階微分作用素 / Borel総和法 / ボレル総和法 / 漸近展開 / quantum gravity / unnarmonic oscillator / Hodge theory / Chiral Potts model / R matrix / Solvable lattice model / Quantum group / Kac-Moody algebra / 共変量子力学 / 無限次元グラスマン多様体 / 共形場の理論 / 無限次元多様体 / 量子動 / ホッジ理論 / カイラル・ポッツ模型 / カッツ・ム-ディ-リ-環 / classical quantum correspondence / point process / eigenvalue distirbution / asymptotic theory / hydrodynamical limit / chaos / random matrix / 古典量子対応 / 点過程 / 固有値分布 / 漸近理論 / 流体力学的極限 / カオス / ランダム行列 / numerical method / vortex sheet / matroid theory / algebraic analysis / Equations of motion of fluids / 数値解析法 / 渦層 / マトロイド理論 / 流体方程式 / D Module / Constant Angle Curve / XY Model / Eichler Integral / Crystal Base / Borel Transform / WKB Method / Micro-Local Analysis / 格子型模型 / ブレ-ド群 / ボロス係数 / Dー加群 / Eichler積分 / Borel変換 / WKB展開 / 超局所解析 / BRS Cohomology / WKB Theory / Hodge Module / K3 Surface / Vertex Operator / Quantum Group / Modular Function / Teichmuller Space / L^2ーcohomology / Hodge構造 / 数理物理学 / configuration空間 / Teichmu^^¨ller空間 / moduli空間 / BRS cohomology / WKB理論 / Hodge加群 / K3曲面 / vertex模型 / modular函数 / Teichmuller空間 / Statistic mechanics / Quantum field theory / Representation theory. / Stochastic process. / Infinite dimensional measure. / 場の量子論 / 無限次元測度 / 群の表現論 / 汎関数積分 / 無限自由度 / 測度論 / ディンキン図形 / ヤンバクスタ方程式 / 無限次元群 / 無限自由度の物理系 / 汎関数解析 / 測度 / 無限次元空間 / 代数的K理論 / 無限ループ空間 / 線型微分方程式 / モヂュライ空間 / 表現 / 巡回コホモロジー / 統計力学的模型 / カッツ・ムーディー環 / 偏微方程式 / 複素多様体 / 代数曲面 / 代数的K-理論 / 複素コボルディズム / 超幾保関数 / 多重スケール解析 / インスタント解 / Parametric Stokes現象 / 幾何微分方程式 / 完全WKB解析 / 表象 / 漸近解析 / 解析的擬微分作用素 / 表象理論 / 核関数 / 擬微分作用素 / ヴォロス係数 / パンルヴェ階層 / インスタントン解 / パンルベ方程式 / 流体力学 / 非可換解析 / 同変ホモトピー型 / 2次元量子重力場 / b関数 / 組み紐群 / 指標公式 / 無限自由度物理系 / モノドロミー保存変形 / Painleve方程式 / シーフ / 確率微分方程式 / 擬凸領域 / ドルボーコホモロジー / 複素ウィナー空間 / シルピンスキ・ガスケット / カイラルポッツ模型 / 接触多様体 / 量子解析学 / 偏微分方程式 / 重力場 / エントロピ- / スピン格子系 / 自己準同形 / 融合律 / 部分環 / 無限階微分方程式系 / 超戸田格子階層 / 正準作用素形式 / 格子可解模型 / 消滅定理 / ウィナ-空間 / フックス群 / 自己双対アインシュタイン方程式 / 超リ-環 / 可解模型 / 数値解析 / 偏微分作用素 Less

Algebraic analysis of parametric Stokes phenomena
- Principal Investigator
  
  AOKI TAKASHI
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kindai University
The structure theory of differential equations by the algebraic analysis of singular perturbation theoryPrincipal Investigator
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Asymptotic analysis of instanton-type solutions
- Principal Investigator
  
  AOKI Takashi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kinki University
Structure theory of higher order Painleve equations through exact WKB analysisPrincipal Investigator
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Exact WKB analysis of higher order differential equations that is centered around the notion of a virtual turning pointPrincipal Investigator
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Structural analysis of differential equations by the exact WKB methodPrincipal Investigator
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Exact WKB analysis and microlocal analysisPrincipal Investigator
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Mathematical analysis and numerical computation of nonlinear partial differential equations
- Principal Investigator
  
  OKAMOTO Hisashi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  KYOTO UNIVERSITY
Theory of singular perturbationsPrincipal Investigator
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  KYOTO UNIVERSITY
Mathematical problems related to quantum chaos
- Principal Investigator
  
  TAKAHASHI Yoichiro
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
非線形特異摂動現象の数学解析と数値計算
- Principal Investigator
  
  OKAMOTO Hisashi
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
非可換解析学の研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
特異摂動の方程式に対するWKB解析
- Principal Investigator
  
  竹井義次
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
無限次元解析とその周辺の研究
- Principal Investigator
  
  山崎泰郎
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
量子解析学の研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
無限次元空間上の正則関数の総合的研究
- Principal Investigator
  
  楠岡成雄
- 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
超局所解析学とS-行列理論Principal Investigator
- Principal Investigator
  
  河合隆裕
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for international Scientific Research
- Research Institution
  Kyoto University
作用素の部分環とその応用の研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
偏微分方程式の解の構造の研究とその応用の研究
- Principal Investigator
  
  松浦重武
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Kyoto University
無限自由度の解析学の総合的研究
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
マスタ-対称性の研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Studies of Algebraic and Analytic Varieties
- Principal Investigator
  
  SAITO Kyoji
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
Studies of D Module and Integrable System
- Principal Investigator
  
  SATO Mikio
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
偏微分方程式の理論とその応用の研究
- Principal Investigator
  
  松浦重武
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Dynkin数学の綜合的研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Study of Infinite Dimensional Analysis and its Application.
- Principal Investigator
  
  YAMASAKI Yasuo
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Yang-Baxter方程式の綜合的研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
無限次元解析の綜合的研究
- Principal Investigator
  
  山崎泰郎
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Studies of Algebraic Analysis
- Principal Investigator
  
  KASHIWARA Masaki
- Project Period (FY)
  1988 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
幾何学的構造に関する諸問題
- Principal Investigator
  
  島田信夫
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
無限次元測度の総合的研究
- Principal Investigator
  
  山崎泰郎
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
多様体の幾何学と関連分野の研究
- Principal Investigator
  
  島田信夫
- 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
無限次元Lie環の綜合的研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University

[Book] Virtual Turning Points2015
- Author(s)
  N. Honda, T. Kawai and Y. Takei
- Total Pages
  133
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-24340026
[Book] 特異摂動の代数解析学2008
- Author(s)
  河合隆裕・竹井義次
- Total Pages
  146
- Publisher
  岩波書店
- Data Source
  KAKENHI-PROJECT-20340028
[Book] 特異摂動の代数解析学2008
- Author(s)
  河合隆裕, 竹井義次
- Publisher
  岩波書店
- Data Source
  KAKENHI-PROJECT-20340028
[Book] 特異摂動の代数解析学2008
- Author(s)
  河合隆裕・竹井義次
- Total Pages
  146
- Publisher
  岩波書店
- Data Source
  KAKENHI-PROJECT-20340028
[Book] Amer.Math.Soc.2005
- Author(s)
  河合隆裕
- Data Source
  KAKENHI-PROJECT-17340035
[Book] Algebraic Analysis of Singular Perturbation Theory Translations of Mathematical Monographs, Vol. 227(Translated from the 1998 Japanese original.)2005
- Author(s)
  T. Kawai and Y. Takei
- Total Pages
  129
- Publisher
  Amer. Math. Soc.
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] An invitation to Sato's postulates in micro-analytic S-matrix theory2017
- Author(s)
  N. Honda and T. Kawai
- Journal Title
  
  RIMS Kokyuroku-Bessatsu
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24340026
[Journal Article] On the singularity structure of wkb solution of the boosted Whittaker equation: its relevance to resurgent functions with essential singularities2016
- Author(s)
  S. Kamimoto, T. Kawai, T. Koike
- Journal Title
  
  Lett. in Math. Phys.
  
  Volume: 106 Issue: 12 Pages: 1791-1815
- DOI
  10.1007/s11005-016-0887-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-15J06019, KAKENHI-PROJECT-24340026, KAKENHI-PROJECT-25400114, KAKENHI-PROJECT-16K05177
[Journal Article] A study of pinch points and cusps in the Landau-Nakanishi geometry2016
- Author(s)
  N. Honda and T. Kawai
- Journal Title
  
  RIMS Kokyuroku-Bessatsu
  
  Volume: B57 Pages: 175-194
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24340026
[Journal Article] A study of pinch points and cusps in the Landau-Nakanishi geometry2015
- Author(s)
  N. Honda and T. Kawai
- Journal Title
  
  RIMS Preprint
  
  Volume: 1840 Pages: 1-39
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24340026
[Journal Article] Resurgent functions and linear differential operators of infinite order, ― Their happy marriage in exact WKB analysis2014
- Author(s)
  S. Kamimoto, T. Kawai and T. Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B52 Pages: 127-146
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24340026
[Journal Article] Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I& II2014
- Author(s)
  S. Kamimoto, T. Kawai and Y. Takei
- Journal Title
  
  Advances in Mathematics
  
  Volume: 260巻 Pages: 565-613
- DOI
  10.1016/j.aim.2014.02.028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-24340026
[Journal Article] Exact WKB analysis of a Schrodinger equation with a merging triplet of two simple poles and one simple turning point. I2014
- Author(s)
  Shingo Kamimoto, Takahiro Kawai and Yoshitsugu Takei
- Journal Title
  
  Advances in Mathematics
  
  Volume: (online version) Pages: 458-564
- DOI
  10.1016/j.aim.2014.02.026
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-24340026
[Journal Article] On the geometric aspect of Sato’s postulates on the S-matrix2014
- Author(s)
  N. Honda, T. Kawai and H. Stapp
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B52 Pages: 11-53
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24340026
[Journal Article] Visualization of the Landau-Nakanishi surfaces for truss-bridge graphs2014
- Author(s)
  N. Honda and T. Kawai
- Journal Title
  
  RIMS-Preprint
  
  Volume: 1809 Pages: 1-95
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24340026
[Journal Article] A computer-assisted study of the Landau-Nakanishi geometry2013
- Author(s)
  N. Honda and T. Kawai
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1861 Pages: 100-110
- Data Source
  KAKENHI-PROJECT-24340026
[Journal Article] Microlocal analysis of fixed singularities of WKB solutions of a Schrodinger equation with a merging triplet of two simple poles and a simple turning point,The Mathematical Legacy of Leon Ehrenpreis2012
- Author(s)
  S. Kamimoto, T. Kawai, T. Koike and Y. Takei
- Journal Title
  
  Springer
  
  Pages: 125-150
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] 超局所解析的 S 行列論、数理物理2012
- Author(s)
  河合隆裕
- Journal Title
  
  私の研究
  
  Pages: 147-152
- URL
  http://puh.maruzen.co.jp
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the exact WKB analysis of higher order simple-pole type operators2011
- Author(s)
  T.Kawai
- Journal Title
  
  Adv.in Math.
  
  Volume: 228 Issue: 1 Pages: 63-96
- DOI
  10.1016/j.aim.2011.05.010
- NAID
  120003272689
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028, KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-21740098
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter. II.2011
- Author(s)
  T.Kawai, Y.Takei
- Journal Title
  
  Publ.RIMS 47
  
  Pages: 153-219
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] Exact WKB analysis of a Schrodinger equation with a merging triplet of two simple poles and one simple turning point2011
- Author(s)
  S. Kamimoto, T. Kawai, and Y. Takei
- Journal Title
  
  RIMS Preprint
  
  Pages: 1-216
- URL
  http://www.kurims.kyoto-u.ac.jp/preprint/file/RIMS1735.pdf
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter. II.-Structure theorem for instanton-type solutions of (P_J)_m(J=I,34,II-2 or IV) near a simple P-turning point of the first kind2011
- Author(s)
  T.Kawai
- Journal Title
  
  Publ.RIMS, Kyoto Univ.
  
  Volume: 47 Pages: 153-219
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter. II.-Structure theorem for instanton-type solutions of (P_J)_m (J=I, 34, II-2 or IV) near a simple P-turning point of the first kind2011
- Author(s)
  T.Kawai
- Journal Title
  
  Publ.RIMS 47(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter. II. Structure theorem for instanton-type solutions of (P_J)_m(J =I, 34, II-2 or IV) near a simple P -turning point of the first kind2011
- Author(s)
  T. Kawai, and Y. Takei
- Journal Title
  
  Publ, RIMS, Kyoto Univ.
  
  Volume: 47 Pages: 153-219
- DOI
  10.2977/prims/34
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028, KAKENHI-PROJECT-21340029
[Journal Article] On the exact WKB analysis of higher order simple-pole type operators2011
- Author(s)
  T. Kawai, T. Koike and Y. Takei
- Journal Title
  
  Adv. in Math.
  
  Volume: 228 Pages: 63-96
- NAID
  120003272689
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point - Alien calculus of WKB solutions through microlocal analysis, Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation2011
- Author(s)
  S. Kamimoto, T. Kawai, T. Koike and Y. Takei
- Journal Title
  
  Scuola Normale Superiore Pisa
  
  Volume: II Pages: 245-254
- DOI
  10.1007/978-88-7642-377-2_4
- ISBN
  9788876423765, 9788876423772
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the WKB theoretic structure of a Schrodinger operator with a merging pair of a simple pole and a simple turning point2010
- Author(s)
  S. Kamimoto, T. Kawai, T. Koike and Y. Takei
- Journal Title
  
  Kyoto J. of Math.
  
  Volume: 50 Issue: 1 Pages: 101-164
- DOI
  10.1215/0023608x-2009-007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the structure of higher order simple-pole type operators in exact WKB analysis2010
- Author(s)
  T.Kawai
- Journal Title
  
  Funkcial.Ekvac. 53
  
  Pages: 249-276
- NAID
  130000419144
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the exact WKB analysis of higher order simple-pole type operators2010
- Author(s)
  T.Kawai
- Journal Title
  
  RIMS preprint
  
  Volume: 1699 Pages: 1-50
- NAID
  120003272689
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the Structure of Higher Order Simple-Pole Type Operators in Exact WKB Analysis2010
- Author(s)
  T. Kawai, T. Koike and Y. Takei
- Journal Title
  
  FE
  
  Volume: 53 Issue: 2 Pages: 249-276
- DOI
  10.1619/fesi.53.249
- NAID
  130000419144
- ISSN
  0532-8721
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the WKB theoretic structure of a Schrodinger operator with a merging pair of a simple pole and a simple turning point2010
- Author(s)
  S.Kamimoto, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Kyoto J.Math. 50
  
  Pages: 101-164
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the structure of higher order simple-pole type operators in exact WKB analysis2010
- Author(s)
  T.Kawai
- Journal Title
  
  Funkcial.Ekvac.
  
  Volume: 53 Pages: 249-276
- NAID
  130000419144
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the WKB theoretic structure of a Schrodinger operator with a merging pair of a simple pole and a simple turning point2010
- Author(s)
  T.Kawai
- Journal Title
  
  Kyoto J.Mathematics 50
  
  Pages: 101-164
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the structure of higher order simple-pole type operators in exact WKB analysis2009
- Author(s)
  Takahiro Kawai, Tatsuya Koike, Yoshitsugu Takei
- Journal Title
  
  RIMS Preprint 1658
  
  Pages: 1-38
- NAID
  130000419144
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point-alien calculus of WKB solutions through microlocal analysis2009
- Author(s)
  T.Kawai
- Journal Title
  
  RIMS Preprint 1686
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] The Bender-Wu analysis and the Voros theory. II.2009
- Author(s)
  T. Aoki, T. Kawai, and Y. Takei
- Journal Title
  
  Advanced Studies in Pure Math.
  
  Volume: 54 Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] The Bender-Wu analysis and the Voros theory. II.2009
- Author(s)
  T.Aoki, T.Kawai, Y.Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics, Math.Soc.Japan 54
  
  Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] The Bender-Wu analysis and the Voros theory. II2009
- Author(s)
  Takashi Aoki, Takahiro Kawai, Yoshitsugu Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics 54
  
  Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] Half of the Toulouse Project Part 5 is completed-Structure theorem for instanton-type solutions of(P_J)_m(J=I,IIorIV)near a simple P-turning point of the first kind2008
- Author(s)
  T. Kawai and Y. Takei
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 99-115
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Half of the Toulouse Project Part 5 is completed-Structure theorem for instanton-type solutions of (P_J)m (J= I, II or IV) near a simple Pturning point of the first kind2008
- Author(s)
  T., Kawai, Y., Takei
- Journal Title
  
  RIMS Kokyuroku Bessatsu 5
  
  Pages: 99-115
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points-A gift of microlocal analysis to the exact WKB analysis2008
- Author(s)
  T. Kawai, et. al.
- Journal Title
  
  Algebraic Analysis of Differential Equations, Springer-Verlag
  
  Pages: 29-43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points-A gift of microlocal analysis to the exact WKB analysis2008
- Author(s)
  T. Kawai, et. al.
- Journal Title
  
  Algebraic Analysis of Differential Equations
  
  Pages: 29-43
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Half of the Toulouse Project Part 5 is completed-Structure theorem for instanton-type solutions of (P_J)_m(J=I,II or IV) near a simple P-turning point of the first kind2008
- Author(s)
  T. Kawai and Y. Takei
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 99-115
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points-A gift of microlocal analysis to the exact WKB analysis2008
- Author(s)
  T., Kawai, et. al.
- Journal Title
  
  Algebraic Analysis of Differential Equations, Springer-Verlag
  
  Pages: 29-43
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning point and isomonodromic deformations-On the observation of S. Sasaki for the creation of new Stokes curves of Noumi-Yamada systems2006
- Author(s)
  T., Aoki, T., Kawai, T., Koike, S., Sasaki, Y., Takei
- Journal Title
  
  RIMS Kokyuroku 1493
  
  Pages: 191-211
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter-Local reduction of O-parameter solutions for Painleve hierarchies(P_J)(J=I,II-1orII-2)2006
- Author(s)
  T. Kawai and Y. Takei
- Journal Title
  
  Adv. Math. 203
  
  Pages: 636-672
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter-Local reduction of 0-parameter solutions for Painleve hierarchies (P_J) (J=I, II-1 or II-2)2006
- Author(s)
  T.Kawai
- Journal Title
  
  Adv. in Math. 203
  
  Pages: 636-672
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points and isomonodromic deformations-On the observation of S. Sasaki for the creation of new Stokes curves of Noumi-Yamada systems-2006
- Author(s)
  T. Aoki, T. Kawai, T. Koike, S. Sasaki and Y. Takei
- Journal Title
  
  RIMS Kokyuroku 1493
  
  Pages: 191-211
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter-Local reduction of O-parameter solutions for Painleve hierarchies (F_J) (I= I, II-1 or 11-2)2006
- Author(s)
  T., Kawai, Y., Takei
- Journal Title
  
  Adv. Math 203
  
  Pages: 636-672
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] A background story and some know-how of virtual turning points2005
- Author(s)
  T. Kawai, et. al.
- Journal Title
  
  RIMS Kokyuroku 1424
  
  Pages: 53-63
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005
- Author(s)
  T., Aoki, T., Kawai, T., Koike, Y., Takei
- Journal Title
  
  Contemporary Math 373
  
  Pages: 11-47
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] A fresh glimpse into the Stokes geometry of the Berk-Nevins-Roberts equation through a singular coordinate transformation2005
- Author(s)
  T. Aoki, T. Kawai, T. Koike and Y. Takei
- Journal Title
  
  RIMS Kokyuroku 1431
  
  Pages: 1-13
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] A background story and some know-how of virtual turninl points2005
- Author(s)
  T., Kawai, et. al.
- Journal Title
  
  RIMS Kokyuroku 1424
  
  Pages: 53-63
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations2005
- Author(s)
  T. Kawai, et. al.
- Journal Title
  
  J. Phys. A 38
  
  Pages: 3317-3336
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Algebraic Analysis of Singular Perturbation Theory2005
- Author(s)
  T., Kawai, Y., Takei
- Journal Title
  
  Translations of Mathematical Monographs(Amer. Math. Soc) Vol.227
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] A fresh glimpse into the Stokes geometry of the Berk-Nevins-Roberts equation through a singular coordinate transformation2005
- Author(s)
  T., Aoki, T., Kawai, T., Koike, Y., Takei
- Journal Title
  
  RIMS Kokyuroku 1431
  
  Pages: 1-13
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations2005
- Author(s)
  T., Kawai, et. al.
- Journal Title
  
  J. Phys 38
  
  Pages: 3317-3336
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005
- Author(s)
  T. Aoki, T. Kawai and T. Koike and Y. Takei
- Journal Title
  
  Contemporary Math. 373
  
  Pages: 11-47
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter - Local reduction of 0-parameter solutions for Painleve hierarchies (P_J)(J=I,II-1 or II-2).2004
- Author(s)
  T.Kawai, Y.Takei
- Journal Title
  
  RIMS preprint 1468
  
  Pages: 1-36
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On WKB analysis of higher order Painleve equations with a large parameter.2004
- Author(s)
  T.Kawai
- Journal Title
  
  Proc. Japan Acad., Ser. A. 80
  
  Pages: 53-56
- NAID
  40006480342
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On WKB analysis of higher order Painleve equations with a large parameter.2004
- Author(s)
  T.Kawai, Y.Takei
- Journal Title
  
  Proc.Japan Acad., Ser.A. 80
  
  Pages: 53-56
- NAID
  40006480342
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the Stokes geometry of higher order Painleve equations.2004
- Author(s)
  T.Kawai et al.
- Journal Title
  
  Asterisque 297
  
  Pages: 117-166
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Announcement of the Toulouse Project, Part22004
- Author(s)
  T.Kawai
- Journal Title
  
  数理解析研究所講究録 1397
  
  Pages: 172-174
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On WKB analysis of higher order Painleve equations with a large parameter.2004
- Author(s)
  T.Kawai, Y.Takei
- Journal Title
  
  Proc.Japan Acad.Ser.A 80
  
  Pages: 53-56
- NAID
  40006480342
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the Stokes geometry of higher order Painleve equations.2004
- Author(s)
  T.Kawai
- Journal Title
  
  Asterisque 297
  
  Pages: 117-166
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Announcement of the Toulouse Project, Part22004
- Author(s)
  T.Kawai, Y.Takei
- Journal Title
  
  RIMS Kokyuroku 1397
  
  Pages: 172-174
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] WKB analysis of higher order Painleve equations with a large parameter - Local reduction of 0-parameter solutions for Painleve hierarchies (P_J) (J=I, II-1 or II-2)
- Author(s)
  T.Kawai
- Journal Title
  
  Adv.in Math. (in press)
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On some recent results in the theory of virtual turning points2016
- Author(s)
  Y. Takei, S. Hirose and T. Kawai
- Organizer
  RIMS symposium “New development of microlocal analysis and singular perturbation theory”
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Year and Date
  2016-10-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] A unified treatment of pinch points and cusps in Landau-Nakanishi surfaces with microlocal analysis2016
- Author(s)
  N. Honda and T. Kawai
- Organizer
  RIMS symposium “New development of microlocal analysis and singular perturbation theory”
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Year and Date
  2016-10-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] On virtual turning points ― an important ingredient of the WKB theory of higher order ODEs2016
- Author(s)
  Y. Takei and T. Kawai
- Organizer
  Resurgence at Kavli IPMU
- Place of Presentation
  東京大学カブリ数物研究所（千葉県柏市）
- Year and Date
  2016-12-16
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] An invitation to Sato's postulates in micro-analytic S-matrix theory2015
- Author(s)
  河合隆裕
- Organizer
  RIMS研究集会“超局所解析と特異摂動論”
- Place of Presentation
  京都大学数理解析研究所(京都府京都市)
- Year and Date
  2015-10-06
- Invited
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] A study of pinch points and cups in the Landau-Nakanishi geometry2014
- Author(s)
  N. Honda and T. Kawai
- Organizer
  Several aspects of microlocal analysis
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-10-23
- Invited
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] Exact WKB analysis of simple pole type operators ― alien calculus using the differential operators of infinite order2014
- Author(s)
  S. Kamimoto, T. Kawai and T. Koike
- Organizer
  Several aspects of microlocal analysis
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-10-24
- Invited
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] Micro-analytic S-matrix theory revisited.2012
- Author(s)
  N. Honda and T. Kawai
- Organizer
  RIMS Symposium
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2012-10-24
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] A survey of the recent development of the exact WKB analysis2011
- Author(s)
  Takahiro Kawai
- Organizer
  A. Weinstein's seminar
- Place of Presentation
  University of California at Berkeley(USA)
- Year and Date
  2011-08-30
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] Can the Borel resummation build a bridge between the perturbation theory and the analytic S-matrix theory?2011
- Author(s)
  Takahiro Kawai
- Organizer
  H. Stapp's seminar
- Place of Presentation
  Lawrence Berkeley National Laboratory (USA)
- Year and Date
  2011-08-24
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] A survey of the recent development of the exact WKB analysis2011
- Author(s)
  河合隆裕
- Organizer
  A.Weinstein's seminar
- Place of Presentation
  University of California at Berkeley, U.S.A.(招待講演)
- Year and Date
  2011-08-30
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] Can the Borel resummation build a bridge between the perturbation theory and the analytic S-matrix theory?2011
- Author(s)
  河合隆裕
- Organizer
  H.Stapp's seminar
- Place of Presentation
  Lawrence Berkeley National Laboratory, U.S.A.(招待講演)
- Year and Date
  2011-08-24
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point---Alien calculus of WKB solutions through microlocal analysis2009
- Author(s)
  S.Kamimoto, T.Kawai, T.Koike, Y.Takei
- Organizer
  International Conference "Asymptotics in dynamics, geometry and PDEs ; generalized Borel summation"
- Place of Presentation
  E.De Giorgi数学研究センター(イタリア)<招待講演>
- Year and Date
  2009-10-15
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] On the Toulouse Project-How much we have understood the structure of solutions of higher order Painleve equations2008
- Author(s)
  Takahiro Kawai, Yoshitsugu Takei
- Organizer
  Applied Mathematics Seminar
- Place of Presentation
  シドニー大学(オーストラリア)
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] On Toulouse Project2008
- Author(s)
  T. Kawai
- Organizer
  Holomorphic partial differential equations, small divisors and summability
- Place of Presentation
  CIRM(マルセイユ)
- Year and Date
  2008-01-29
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On Toulouse Project2008
- Author(s)
  T., Kawai
- Organizer
  CIRM Conference "Holomorphic Partial Differential Equations, Small Divisors and Summability"
- Place of Presentation
  CIRM, Marseille (France)
- Year and Date
  2008-01-29
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] 完全WKB解析一理論と背景2008
- Author(s)
  河合隆裕
- Organizer
  伊藤先生文化勲章記念講演会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-12-20
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] On the Toulouse Project- How much we have understood the structure of solutions of higher order Painleve equations2008
- Author(s)
  Takahiro Kawai 、Yoshitsugu Takei
- Organizer
  Applied Math. Seminar (招待講演)
- Place of Presentation
  University of Sydney(オーストラリア)
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] The Bender-Wu analysis and the Voros theory(Part 2)2007
- Author(s)
  Takashi Aoki, Takahiro Kawai and Yoshitsugu Takei
- Organizer
  Differential Equations and Exact WKB Analysis
- Place of Presentation
  京都大学数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] The Bender-Wu analysis and the Voros theory, Part 22007
- Author(s)
  T. Kawai
- Organizer
  RIMS Conference "Algebraic Analysis and Around"
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2007-06-30
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] The Bender-Wu analysis and the Voros theory, Part 22007
- Author(s)
  T., Kawai
- Organizer
  RIMS Conference "Algebraic Arialysis and Around", RIMS
- Place of Presentation
  Kyoto University
- Year and Date
  2007-06-30
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] The Bender-Wu analysis and the Voros theory, Part 22007
- Author(s)
  T. Kawai
- Organizer
  Algebraic analysis and around in honor of Professor Masaki Kashiwara's 60th Birthday
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-06-30
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] The Bender-Wu analysis and the Voros theory (Part 2)2007
- Author(s)
  T., Aoki, T., Kawai, Y., Takei
- Organizer
  RIMS Conference "Differential Equations and Exact WEB Analysis"(two lectures)
- Place of Presentation
  RIMS, Kyoto University
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] The Bender-Wu analysis and the Voros theory (Part 2)2007
- Author(s)
  T. Aoki, T. Kawai and Y. Takei
- Organizer
  RIMS Conference"Differential Equations and Exact WKB Analysis"
- Place of Presentation
  RIMS, Kyoto University
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Structure of instanton-type solutions of higher order Painleve equations near a simple turning point of the first kind2006
- Author(s)
  T., Kawai, Y., Takei
- Organizer
  RIMS Conference "Algebraic Analysis and the Exact WEB Analysis for Systems of Differential Equations"
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2006-12-12
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Structure of instanton-type solutions of higher order Painleve equations near a simple turning point of the first kind2006
- Author(s)
  河合隆裕, 竹井義次
- Organizer
  微分方程式系の代数解析と完全 WKB 解析
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-12-12
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Virtual turning points-A gift of microlocal analysis to the exact WEB analysis2005
- Author(s)
  T., Kawai
- Organizer
  RIMS Conference "Algebraic Analysis of Differential Equations- from Microlocal Analysis to Exponential Asyraptotics", Clock Tower Centennial Hall
- Place of Presentation
  Kyoto University
- Year and Date
  2005-07-11
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Virtual turning points-A gift of microlocal analysis to the exact WK Banalysis2005
- Author(s)
  T. Kawai
- Organizer
  Algebraic Analysis of Differential Equations Microlocal Analysis to Exponential Asymptotics-in honor of Prof. Takahiro KAWAI on the occasion of his sixtieth birthday
- Place of Presentation
  京都大学時計台記念ホール
- Year and Date
  2005-07-11
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Sato’s postulates on the S-matrix revisited through the Borel resummation of the perturbation series (a joint work with Henry P. Stapp)
- Author(s)
  Takahiro Kawai
- Organizer
  微分方程式の指数解析とその周辺
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] Linear differential operators of infinite order --- another interaction of microlocal analysis and exact WKB analysis
- Author(s)
  Takahiro Kawai
- Organizer
  Microlocal analysis and spectral theory
- Place of Presentation
  Centre International de Rencontres Mathematiques, Luminy, France
- Invited
- Data Source
  KAKENHI-PROJECT-24340026

1. ARAKI Huzihiro (20027361)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
2. NAKANISHI Noboru (30027362)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
3. KASHIWARA Masaki (60027381)

# of Collaborated Projects: 14 results

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4. TAKEI Yoshitsugu (00212019)

# of Collaborated Projects: 13 results

# of Collaborated Products: 45 results
5. MIWA Tetsuji (10027386)

# of Collaborated Projects: 12 results

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6. SAITO Kyoji (20012445)

# of Collaborated Projects: 8 results

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7. KUSUOKA Shigeo (00114463)

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8. AOKI Takashi (80159285)

# of Collaborated Projects: 8 results

# of Collaborated Products: 12 results
9. YAMASAKI Yasuo (50027364)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
10. TAKASAKI Kanehisa (40171433)

# of Collaborated Projects: 6 results

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11. MUROTA Kazuo (50134466)

# of Collaborated Projects: 6 results

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12. KOIKE Tatsuya (80324599)

# of Collaborated Projects: 6 results

# of Collaborated Products: 16 results
13. SAITO Morihiko (10186968)

# of Collaborated Projects: 5 results

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14. OJIMA Izumi (60150322)

# of Collaborated Projects: 5 results

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15. OKAMOTO Hisashi (40143359)

# of Collaborated Projects: 4 results

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16. 松浦重武 (80027359)

# of Collaborated Projects: 4 results

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17. 島田信夫 (70027358)

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18. 大沢健夫 (30115802)

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19. SUZUKI Takao (60527208)

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20. NAKAMURA Yayoi (60388494)

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21. HONDA Naofumi (00238817)

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22. SATO Mikio (80012201)

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23. 島川和久 (70109081)

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24. 伊原康隆 (70011484)

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25. IZUMI Shuzo (80025410)

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26. MATSUI Yutaka (10510026)

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27. NARUKI Isao (90027376)

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28. MOCHIZUKI Shinichi (10243106)

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29. TAKAHASHI Yoichiro (20033889)

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30. OHKITANI Koji (70211787)

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31. YAMAZAKI Susumu (00349953)

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32. UMETA Yoko (90606386)

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33. 磯裕介 (70203065)

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34. 泉正己 (80232362)

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35. 永田雅嗣 (70115905)

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36. 土居伸一 (00243006)

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37. 木田重雄 (70093234)

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38. 谷口雅治 (30260623)

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39. 岩田覚 (00263161)

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40. 中野茂男 (60027357)

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41. 一松信 (10027378)

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42. 吉野正史 (00145658)

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43. KAMIMOTO Shingo

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# of Collaborated Products: 6 results
44. WEINSTEIN Al

# of Collaborated Projects: 1 results

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45. STAPP Henry

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Kawai Takahiro 河合 隆裕

KAWAI Takahiro 河合 隆裕

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The structure theory of differential equations by the algebraic analysis of singular perturbation theoryPrincipal Investigator

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Structure theory of higher order Painleve equations through exact WKB analysisPrincipal Investigator

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Exact WKB analysis of higher order differential equations that is centered around the notion of a virtual turning pointPrincipal Investigator

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Structural analysis of differential equations by the exact WKB methodPrincipal Investigator

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Exact WKB analysis and microlocal analysisPrincipal Investigator

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Theory of singular perturbationsPrincipal Investigator

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Kawai Takahiro 河合隆裕

KAWAI Takahiro 河合隆裕