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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) 2022: 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 / 高階パンルヴェ方程式 / Toulouse Project / 超局所解析 / 変わり点 / 完全最急降下法 / ストークス曲線 / exact WKB analysis / microlocal analysis … More / algebraic analysis / 単純極作用素 / 超局所解析学 / ガルニエ系 / 動かない特異点 / 無限階微分作用素 / ストークス図形 / パンルヴェ函数 / multiple-scale / ボレル和 / 代数解析学 / 野海・山田系 / Lax対 / 0-パラメタ解 / Stokes図形 / a higher order Painleve equation / a virtual turning point / WKB analysis / Sーmatrix / infrared problem / Feynman integral / sigular peturbation / turning points / インスタントン型解 / fixed singularities / 完全 WKB 解析 / 解析的 S-行列 / 3 粒子閾値 / M2P1Tシュレーディンガー方程式 / 解析的S-行列 / trussbridge diagram函数 / Mathieu方程式 / Voros係数 / MPPT作用素 / alien calculus / ゴースト作用素 / 2重変わり点作用素 / MTP作用素 / ボレル変換 / alien derivative / 超局所解析的S-行列論 / 極大過剰決定系 / Pearcey系 / ランダウ・中西曲面 / ボレル総和 / 再生函数 / 陪特性帯 / Whitneyの傘 / Landau-中西幾何学 / 再生函数論 / ファインマン積分 / acnode / ボレル総和法 / 解析学S-行列論 / Borel総和法 / モノドロミー群 / Painleve超越函数 / multiple scale / Schrodinger方程式 / Stokes曲線 / (微分方程式の) 変形 / 接続公式 / (微分方程式の)変形 / 変り点 / 保型函数 / 微分方程式の変形 / 特異摂動 / Painleve函数 / Multiple-scale / 複素フーリエ解析 / Exact WKB analysis / Borel resummation / monodromy groups / Painleve transcendents / Schrodinger equations / Stokes curves / deformation (of differential equations) / Stokes 幾何学 / 完全最急降下路 / 赤外発散 / 自然境界 / ストークス幾何 / 非断熱近似 / Borel変換 / 鞍点 / Landau-Zener / 断熱近似 / n-level / 鞍点法 / 最急降下路 / Borel和 / 積分表示 / Stokes geometry / exact steepest descent path / exact steepest descent method / virtual turning point / infra-red divergence / natural boundaries / トゥールーズ計画 / WKB型超局所微分作用素 / 特異摂動論 / 高階パンルヴェ方式 / WKB型擬微分作用素 / 高階バンルヴェ方程式 / ストーク図形 / 西川現象 / 第1種の変わり点 / 第2種の変わり点 / 無限個の相 / WKB型微分作用素 / 超局所微分作用素 / Landau-Zener型 / 陪特性グラフ / The Toulouse Project / a microdifferential operator of WKB type / the exact steepest descent method / singular perturbation theory / インスタントン解 / 1型変わり点 / 退化ガルニエ系 / ∞-Weber方程式 / 形式変換 / ボレル平面 / Toulouse計画 / (パンルヴェ方程式の)第1種変わり点 / instanton型 / ハミルトン系 / 両立条件 / 新しいStokes曲線 / インスタントン展開 / P_J型高階パンルヴェ方程式 / an instanton-type solution / a 0-parameter solution / a turning point of the first kind / a degenerate Garnier system … More
Except Principal Investigator
量子群 / 特異摂動 / 結晶基底 / 非調和振動子 / 代数解析 / 定角曲線 / 場の理論 / 統計力学 / R行列 / 代数解析学 / 関数解析 / 確率論 / マスタ-対称性 / XY模型 / 作用素環 / 量子重力 / WKB解析 / 接続公式 / Stokes現象 / 無限次元解析 / WKB解 / 超幾何微分方程式 / ストークス現象 / 合流型超幾何微分方程式 / 超幾何関数 / Voros係数 / Stokes曲線 / 孤立特異点 / 無限次元リー環 / 完全可積分系 / アファインリー環 / 確率過程 / 表現論 / 可解格子模型 / 混合ホッジ加群 / singular perturbation / 偏微分作用素 / 数値解析 / 可解模型 / 超リ-環 / 自己双対アインシュタイン方程式 / フックス群 / ウィナ-空間 / 消滅定理 / 格子可解模型 / 正準作用素形式 / 超戸田格子階層 / 無限階微分方程式系 / 部分環 / 融合律 / 自己準同形 / スピン格子系 / エントロピ- / 重力場 / 偏微分方程式 / 量子解析学 / 接触多様体 / カイラルポッツ模型 / シルピンスキ・ガスケット / 複素ウィナー空間 / ドルボーコホモロジー / 擬凸領域 / 確率微分方程式 / シーフ / Painleve方程式 / モノドロミー保存変形 / 無限自由度物理系 / 指標公式 / 組み紐群 / b関数 / 2次元量子重力場 / 同変ホモトピー型 / 非可換解析 / 流体力学 / パンルベ方程式 / インスタントン解 / パンルヴェ階層 / ヴォロス係数 / 擬微分作用素 / 核関数 / 表象理論 / 解析的擬微分作用素 / 漸近解析 / 表象 / 完全WKB解析 / 幾何微分方程式 / Parametric Stokes現象 / インスタント解 / 多重スケール解析 / 超幾保関数 / 複素コボルディズム / 代数的K-理論 / 代数曲面 / 複素多様体 / 偏微方程式 / カッツ・ムーディー環 / 統計力学的模型 / 巡回コホモロジー / 表現 / モヂュライ空間 / 線型微分方程式 / 無限ループ空間 / 代数的K理論 / 無限次元空間 / 測度 / 汎関数解析 / 無限自由度の物理系 / 無限次元群 / ヤンバクスタ方程式 / ディンキン図形 / 測度論 / 無限自由度 / 汎関数積分 / 群の表現論 / 無限次元測度 / 場の量子論 / Infinite dimensional measure. / Stochastic process. / Representation theory. / Quantum field theory / Statistic mechanics / Teichmuller空間 / modular函数 / vertex模型 / K3曲面 / Hodge加群 / WKB理論 / BRS cohomology / moduli空間 / Teichmu^^¨ller空間 / configuration空間 / 数理物理学 / Hodge構造 / L^2ーcohomology / Teichmuller Space / Modular Function / Quantum Group / Vertex Operator / K3 Surface / Hodge Module / WKB Theory / BRS Cohomology / 超局所解析 / WKB展開 / Borel変換 / Eichler積分 / Dー加群 / ボロス係数 / ブレ-ド群 / 格子型模型 / Micro-Local Analysis / WKB Method / Borel Transform / Crystal Base / Eichler Integral / XY Model / Constant Angle Curve / D Module / 流体方程式 / マトロイド理論 / 渦層 / 数値解析法 / Equations of motion of fluids / algebraic analysis / matroid theory / vortex sheet / numerical method / ランダム行列 / カオス / 流体力学的極限 / 漸近理論 / 固有値分布 / 点過程 / 古典量子対応 / random matrix / chaos / hydrodynamical limit / asymptotic theory / eigenvalue distirbution / point process / classical quantum correspondence / カッツ・ム-ディ-リ-環 / カイラル・ポッツ模型 / ホッジ理論 / 量子動 / 無限次元多様体 / 共形場の理論 / 無限次元グラスマン多様体 / 共変量子力学 / Kac-Moody algebra / Quantum group / Solvable lattice model / R matrix / Chiral Potts model / Hodge theory / unnarmonic oscillator / quantum gravity / 漸近展開 / ボレル総和法 / Borel総和法 / 無限階微分作用素 / Watsonの補題 / Borel和 Less
  • Research Projects

    (33 results)
  • Research Products

    (96 results)
  • Co-Researchers

    (45 People)
  •  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

All 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [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. Math. Phys.

      Volume: 106 Pages: 1791-1815

    • DOI

      10.1007/s11005-016-0887-x

    • Peer Reviewed / Acknowledgement Compliant / 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 Schrodinger equation with a merging triplet of two simple poles and one simple turning point. II2014

    • Author(s)
      S. Kamimoto, T. Kawai and Y. Takei
    • Journal Title

      Adv. Math.

      Volume: 260巻

    • 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, I. --- its WKB-theoretic transformation to the Mathieu equation2014

    • Author(s)
      Shingo Kamimoto, Takahiro Kawai and Yoshitsugu Takei
    • Journal Title

      Adv. Math.

      Volume: (online version)

    • 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 ordersimple-pole type operators2011

    • Author(s)
      T.Kawai
    • Journal Title

      Advances in Mathematics

      Volume: 228 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 (PJ)_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

      Publications of RIMS, Kyoto University

      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

    • 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 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 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, T. Koike and Y. Takei
    • Journal Title

      Funkcialaj Ekvacioj

      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 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
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  • 2.  NAKANISHI Noboru (30027362)
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  • 3.  KASHIWARA Masaki (60027381)
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  • 4.  TAKEI Yoshitsugu (00212019)
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  • 6.  SAITO Kyoji (20012445)
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  • 7.  KUSUOKA Shigeo (00114463)
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  • 8.  AOKI Takashi (80159285)
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  • 9.  YAMASAKI Yasuo (50027364)
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  • 13.  SAITO Morihiko (10186968)
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  • 15.  OKAMOTO Hisashi (40143359)
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    # of Collaborated Projects: 3 results
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  • 18.  大沢 健夫 (30115802)
    # of Collaborated Projects: 3 results
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  • 19.  SUZUKI Takao (60527208)
    # of Collaborated Projects: 2 results
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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)
    # of Collaborated Projects: 2 results
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  • 24.  伊原 康隆 (70011484)
    # of Collaborated Projects: 2 results
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  • 25.  IZUMI Shuzo (80025410)
    # of Collaborated Projects: 1 results
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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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