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Shiota Takahiro  塩田 隆比呂

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… Alternative Names

SHIOTA Takahiro  塩田 隆比呂

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Researcher Number 20243008
Other IDs
Affiliation (Current) 2020: 京都大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help 1995 – 2004: 京都大学, 大学院・理学研究科, 助教授
1998: 京都大学, 理学研究科, 助教授
1996: Faculty of Sci., Univ.Kyoto, Associate Prof., 理学部, 助教授
1995: Kyoto Univ., Graduate School of Science Associate Professor, 大学院理学研究科, 助教授
1995: 京都大学, 理学部数学科, 助教授
1993 – 1994: 京都大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 広領域 / Basic analysis / Basic analysis
Keywords
Principal Investigator
KP hierarchy / KP方程式系 / 行列積分 / Calogero-Moser system / soliton方程式 / matrix integral / ソリトン方程式 / 戸田格子 / Calogero-Moser系 / tau function … More / Krichever theory / Matrix Integrals / 2次元戸田格子系 / W代数 / Gabor filter / Wavelet / anisotropic diffusion / Computer vision / 行列モデル / string equation / Soliton equations / random matrix / W-algebra / Virasoro algebra / Painleve equations / 画像認識 / 非線型フィルター / タウ関数 / Virasoro対称性 / Pfaff lattice / τ(タウ)関数 / 可換常微分作用素環 / 2次元戸田格子 / Pfaff格子 / soliton equations / Toda lattice / Virasoro symmetry / random permutation / vicious random walk / BKP方程式系 / タウ函数 / 行列模型 / BKP hierarchy / matrix model … More
Except Principal Investigator
逆問題 / 偏微分方程式 / 数値解析 / 相関関数 / 量子群 / 可解格子模型 / 頂点作用素 / 楕円型量子群 / 共形場理論 / 非適切問題 / 境界積分方程式法 / 多倍長計算 / 安定性理論 / 境界要素法 / 積分方程式法 / 解析函数 / 差分法 / 格子模型 / 行列積分 / パンルベ方程式 / q差分作用素 / モジュライ空間 / ループ群 / qKZ方程式 / Capelli恒等式 / ゲージ群 / アーベル多様体 / 既約ユニタリ表現 / KP階層 / 無限次元代数 / 不変式 / Bott周期性 / Jordan代数 / dual pair / アフィン・ルート系 / ループ空間 / lattice model / correlations / quantum group / matrix integral / Painleve equation / q-difference operator / moduli space / loop group / 非適切性 / 安定性 / 数値計算 / 設計 / 積分方程式 / 正則化 / 適切性 / 数理工学 / inverse problem / ill-poseclvess / stability / numerical anrlysis / design / partial lifferesbil equalwns / integrel equatrins / regularization / 不変式論 / 変形Virasoro代数 / 行列模型 / 自由場表示 / 形状因子 / 変形ヴィラソロ代数 / elliptic quantum groups / solvable lattice models / free field representation / deformed Virasoro algebras / conformal field theory / invariant theory / matrix models / 可積分階層 / 無分散可積分系 / 可解多体系 / ゲージ理論 / 自由フェルミオン / 等角写像 / グラスマン多様体 / 双曲構造 / 量子可積分系 / 無分散極限 / ランダム行列 / 等モノドロミー変形 / ハミルトン構造 / 同変コホモロジー / Calogero系 / Loewner方程式 / 共形写像 / 広田方程式 / ソリトン方程式 / q類似 / 楕円類似 / インスタントン / integrable hierarchy / dispersionless integrable system / solvable many body system / gauge theory / free fermion / conformal mapping / Grassmann manifold / hyperbolic structure Less
  • Research Projects

    (13 results)
  • Research Products

    (5 results)
  • Co-Researchers

    (24 People)
  •  Geometric structure and integrable systems in mathematical physics

    • Principal Investigator
      TAKASAKI Kanehisa
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Soliton equations and combinatoriesPrincipal Investigator

    • Principal Investigator
      SHIOTA Takahiro
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  Internal symmetry of soliton equations and its applicationsPrincipal Investigator

    • Principal Investigator
      SHIOTA Takehiro
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Eigenvolues of random matrices and soliton equationsPrincipal Investigator

    • Principal Investigator
      SHIOTA Takahiro
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  Solvable Lattice Models and Elliptic Quantum Groups

    • Principal Investigator
      JIMBO Michio
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  陰影を伴う画像の処理と物件認識の研究Principal Investigator

    • Principal Investigator
      塩田 隆比呂
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  「非適切問題における適切クラスの決定と積分方程式を利用した非適切問題の数値解析」

    • Principal Investigator
      ISO Yuusuke
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  ヴィラソロ対称性を持ったKP解についてPrincipal Investigator

    • Principal Investigator
      塩田 隆比呂
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyoto University
  •  Virasoro対称性を持ったKp解についてPrincipal Investigator

    • Principal Investigator
      塩田 隆比呂
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyoto University
  •  Mathematical researches of Well-poseduess of engineering inverse problems and applicattions to engineering

    • Principal Investigator
      YAMAMOTO Masahiro
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      広領域
    • Research Institution
      graduste School of Mathemational Suenus Uriv of Tokyo
  •  Virasoro対称性を持ったKP解についてPrincipal Investigator

    • Principal Investigator
      塩田 隆比呂
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyoto University
  •  ウェーブレットの画像処理への応用Principal Investigator

    • Principal Investigator
      塩田 隆比呂
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Structure and symmetries of integrable systems

    • Principal Investigator
      JIMBO Michio
    • Project Period (FY)
      1993 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY

All 2005 Other

All Journal Article

  • [Journal Article] Schur function expansion for normal matrix models and associated discrete matrix models2005

    • Author(s)
      A.Yu.Orlov, T.Shiota
    • Journal Title

      Physics Letters A343

      Pages: 384-396

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340040
  • [Journal Article] Schur function expansion for normal matrix models and associated discrete matrix model2005

    • Author(s)
      A.Yu.Orlov, T.Shiota
    • Journal Title

      Physics Letters A 343

      Pages: 384-396

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340040
  • [Journal Article] Schur function expansion for normal matrix models and associated discrete matrix models2005

    • Author(s)
      A.Yu.Orlev, T.Shiota
    • Journal Title

      Physics Letters A

    • Data Source
      KAKENHI-PROJECT-15540165
  • [Journal Article] Schur function expansion for normal matrix model and associated discrete matrix models

    • Author(s)
      A.Yu.Orlov, T.Shiota
    • Journal Title

      Physics Letters A (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540165
  • [Journal Article] Schur function expansion for normal matrix model and associated discrete matrix models

    • Author(s)
      A.Yu.Orlob, T.Shiota
    • Journal Title

      Physics Letters A (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540165
  • 1.  ISO Yuusuke (70203065)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  NISHIDA Takaski (70026110)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  JIMBO Michio (80109082)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  UMEDA Toru (00176728)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  SHIMIZU Yuji (80187468)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  久保 雅義 (10273616)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  KONO Akira (00093237)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  UENO Kenji (40011655)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  TAKEI Yoshitsugu (00212019)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  斉藤 政彦 (80183044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  野村 隆昭 (30135511)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  松沢 淳一 (00212217)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  YAMAMOTO Masahiro (50182647)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  NAKAMURA Gen (50118535)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  ONISHI Kazuei (20078554)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  中桐 信一 (20031148)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  KONNO Hitoshi (00291477)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  ODAKE Satoru (40252051)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  SHIRAISHI Junichi (20272536)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  TAKASAKI Kanehisa (40171433)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  IKEDA Takeshi (40309539)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  SASAKI Ryu (20154007)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  TAKEBE Takashi (60240727)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  FUJII Michihiko (60254231)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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