Shiota Takahiro 塩田隆比呂

… Alternative Names

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 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

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

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8. UENO Kenji (40011655)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. TAKEI Yoshitsugu (00212019)

# of Collaborated Projects: 1 results

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10. 斉藤政彦 (80183044)

# of Collaborated Projects: 1 results

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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

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14. NAKAMURA Gen (50118535)

# of Collaborated Projects: 1 results

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15. ONISHI Kazuei (20078554)

# of Collaborated Projects: 1 results

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16. 中桐信一 (20031148)

# of Collaborated Projects: 1 results

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17. KONNO Hitoshi (00291477)

# of Collaborated Projects: 1 results

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18. ODAKE Satoru (40252051)

# of Collaborated Projects: 1 results

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19. SHIRAISHI Junichi (20272536)

# of Collaborated Projects: 1 results

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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

Shiota Takahiro 塩田 隆比呂

SHIOTA Takahiro 塩田 隆比呂

Research Projects

Research Products

Co-Researchers

Geometric structure and integrable systems in mathematical physics

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Soliton equations and combinatoriesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Internal symmetry of soliton equations and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Eigenvolues of random matrices and soliton equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Solvable Lattice Models and Elliptic Quantum Groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

陰影を伴う画像の処理と物件認識の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

「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

Project Period (FY)

Research Category

Research Field

Research Institution

ヴィラソロ対称性を持ったKP解についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

Virasoro対称性を持ったKp解についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

Mathematical researches of Well-poseduess of engineering inverse problems and applicattions to engineering

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Virasoro対称性を持ったKP解についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

ウェーブレットの画像処理への応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Structure and symmetries of integrable systems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Shiota Takahiro 塩田隆比呂

SHIOTA Takahiro 塩田隆比呂