ohta Shinichi 太田慎一

… Alternative Names

OHTA Shin-ichi 太田慎一

太田慎一オオタシンイチ

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Researcher Number	00372558
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院理学研究科, 教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 大阪大学, 大学院理学研究科, 教授 2017 – 2021: 大阪大学, 理学研究科, 教授 2016: 京都大学, 大学院理学研究科, 准教授 2015 – 2016: 京都大学, 理学研究科, 准教授 2011 – 2016: 京都大学, 理学(系)研究科(研究院), 准教授 … More 2013: 京都大学, 理学研究科, 准教授 2012: 京都大学, 理学部, 准教授 2011: 京都大学, 大学院理学研究科, 准教授 2011: 京都大学, 理学系研究科, 准教授 2009 – 2011: Kyoto University, 理学研究科, 准教授 2009 – 2010: 京都大学, 大学院・理学研究科, 准教授 2008: Kyoto University, 大学院・理学研究科, 助教 2006: 京大, 理学(系)研究科(研究院), 助手 2004 – 2005: 京都大学, 大学院・理学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related / Medium-sized Section 11:Algebra, geometry, and related fields Except Principal Investigator Geometry / Basic analysis / Broad Section B / Global analysis
Keywords	Principal Investigator 曲率 / 凸関数 / 勾配流 / フィンスラー幾何 / 最適輸送理論 / 最適輸送 / リーマン幾何 / 熱流 / フィンスラー幾何学 / リッチ曲率 … More / Wasserstein距離 / Gromov双曲空間 / 分解定理 / 等周不等式 / 局所化 / フィンスラー多様体 / エントロピー / リーマン幾何学 / 位相的データ解析 / 作用素論 / 多変数関数 / Loewner理論 / 対数ソボレフ不等式 / 情報幾何学 / ローレンツ幾何学 / 測度の集中 / ローレンツ・フィンスラー多様体 / ピラミッド / ローレンツ幾何 / 非線形熱流 / 情報幾何 / 重心 / フィンスラー時空 / 関数不等式 / 準凸関数 / 固有値 / 距離空間 / 収縮性 / アレクサンドロフ空間 / ハミルトン系 / ディリクレ問題 / バナッハ空間 / CAT(0)空間 / 内部距離 / ソボレフ空間 / 測定距離空間 / リーマン多様体 / グロモフ・ハウスドルフ収束 / アレクサンンドロフ空間 / 速度距離空間 … More Except Principal Investigator 測度距離空間 / 熱核 / 測度集中現象 / Dirichlet 形式 / RCD空間 / マルコフ過程 / ラプラシアン / ディリクレ形式 / アレクサンドロフ空間 / 解析学 / 幾何学 / シンプレクティック幾何学 / モジュライ空間 / フレアーホモロジー / 準CD空間 / MCP(β, N)空間 / CD(β, N)空間 / Tamed Dirichlet 空間 / 確率論 / 同径過程 / スペクトル半径 / 最適輸送理論 / MCP空間 / 曲率次元条件 / リーマン多様体 / 複素力学系 / 拡散過程 / 確率過程 / 自己相似集合 / タイリング / 力学系 / Dirichlet form / フラクタル / 勾配流 / スペクトル理論 / 相転移性質 / 漸近的自己相似集合 / 崩壊 / 重みつきリッチ曲率 / フィンスラー多様体 / 逆問題 / 等周定数 / 鈍角定数 / スペクトル / リプシッツ・ホモトピー収束 / スペクトル収束 / リプシッツ構造 / リーマン的曲率次元条件 / オブザーバブル分散 / 崩壊理論 / 境界つきリーマン多様体 / スペクトル逆問題 / 内半径崩壊 / リプシッツ・ホモトピー / 良い被覆 / ゲージ理論 / 非線形微分方程式 / 加藤クラス / アレキサンドロフ空間 / グロモフ・ハウスドルフ収束 / 変分収束 / 劣調和関数 / 調和写像 / Sobolevの不等式 / Poincareの不等式 / bottleneck effect / 等周不等式 / hitting probability / 連結和 / Sobolev不等式 / Poincare不等式 / 熱核の長時間挙動 / 新古典不等式 / 超縮小性 / アレクサンドロ / 確率微分方程式 / ループ群 / 処罰問題 / 確率測度の幾何学 / 最適輸送写像 / 準古典極限 / ループ空間 / ラフパス解析 / 場の量子論 / 確率解析 / 弦理論 / 素粒子論 / 数理物理 / トポロジー / 超弦理論 / ホモロジー代数 / 特異点理論 / カラビヤウ多様体 / フレア-ホモロジ- / ミラ-対称性 / 量子コホモロジー / ラグランジュ部分多様体 / ハミルトン力学系 / トーリック多様体 / 擬正則曲線 / シンプレクティク幾何 / ミラー対称性 / シンプレクティック多様体 Less

New developments in gradient flow theory on metric spacesPrincipal Investigator
- Principal Investigator
  
  太田慎一
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka University
最適輸送理論の深化－数理情報の融合研究－Principal Investigator
- Principal Investigator
  
  太田慎一
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Osaka University
Analysis on metric measure spaces by optimal transport theory and Markov processes
- Principal Investigator
  
  桑江一洋
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Review Section
  
  Broad Section B
- Research Institution
  Fukuoka University
Geometry of optimal transport theory and gradient flowsPrincipal Investigator
- Principal Investigator
  
  Ohta Shin-ichi
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka University
Geometry and analysis on metric measure spaces based on the theory of Markov processes and optimal mass transport
- Principal Investigator
  
  Kazuhiro Kuwae
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Fukuoka University
Comparison geometry of Finsler manifolds and gradient flowsPrincipal Investigator
- Principal Investigator
  
  Ohta Shin-ichi
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
  Kyoto University
New development of Lipschitz structure/collapsing theory of Alexandrov spaces and inverse spectral problem
- Principal Investigator
  
  Yamaguchi Takao
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Relation between algebra, geometry and analysis on fractals
- Principal Investigator
  
  Kigami Jun
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
距離空間内の勾配流とその応用Principal Investigator
- Principal Investigator
  
  太田慎一
- Project Period (FY)
  2014 – 2015
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
非線形方程式のモジュライ空間の幾何学的応用
- Principal Investigator
  
  深谷賢治
- Project Period (FY)
  2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Geometry of metric measure spaces and optimal transport theoryPrincipal Investigator
- Principal Investigator
  
  OHTA Shin-ichi
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Probabilistic approach to analysis and geometry on metric measure spaces
- Principal Investigator
  
  KUWAE Kazuhiro
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kumamoto University
New development of infinite dimensional stochastic analysis and its applications
- Principal Investigator
  
  AIDA Shigeki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Osaka University
Geometric properties on the threshold of the Sobolev type inequalities and generalization to metric spaces
- Principal Investigator
  
  ISHIWATA Satoshi
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Yamagata University
  University of Tsukuba
Geometry of the space of probability measures and its applicationsPrincipal Investigator
- Principal Investigator
  
  OHTA Shin-Ichi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
New development of geometry based on topological field theory
- Principal Investigator
  
  FUKAYA Kenji
- Project Period (FY)
  2006 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
距離空間上の調和関数の研究Principal Investigator
- Principal Investigator
  
  太田慎一
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University

[Book] Comparison Finsler Geometry2021
- Author(s)
  Shin-ichi Ohta
- Total Pages
  316
- Publisher
  Springer-Verlag
- ISBN
  9783030806491
- Data Source
  KAKENHI-PROJECT-17H02846
[Book] Comparison Finsler Geometry2021
- Author(s)
  Shin-ichi Ohta
- Total Pages
  316
- Publisher
  Springer
- ISBN
  9783030806491
- Data Source
  KAKENHI-PROJECT-19H01786
[Book] 最適輸送理論とリッチ曲率2017
- Author(s)
  桑江一洋，塩谷隆，太田慎一，桑田和正，高津飛鳥
- Total Pages
  141
- Publisher
  MSJメモアール，日本数学会
- Data Source
  KAKENHI-PROJECT-26287010
[Book] Lagrangian intersection Floer theory : anomaly and obstruction. Part II. AMS/IP Studies in Advanced Mathematics, 46. 2. American Mathematical Society, Providence, RI2009
- Author(s)
  K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
- Publisher
  International Press
- Data Source
  KAKENHI-PROJECT-18104001
[Book] Lagrangian intersection Floer theory : anomaly and obstruction. Part I. AMS/IP Studies in Advanced Mathematics, 46. 1. American Mathematical Society, Providence, RI2009
- Author(s)
  K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
- Publisher
  International Press
- Data Source
  KAKENHI-PROJECT-18104001
[Book] Lagrangian intersection Floer theory : anomaly and obstruction2009
- Author(s)
  Fukaya, Kenji ; Oh, Yong-Geun ; Ohta, Hiroshi ; Ono, Kaoru
- Total Pages
  800
- Publisher
  American Mathematical Society and International Press
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Optimal transport and timelike lower Ricci curvature bounds on Finsler spacetimes2024
- Author(s)
  Mathias Braun, Shin-ichi Ohta
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 377 Pages: 3529-3576
- DOI
  10.1090/tran/9126
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Journal Article] Geometry of weighted Lorentz-Finsler manifolds II: A splitting theorem, Internat2023
- Author(s)
  Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta
- Journal Title
  
  J. Math
  
  Volume: 34 Issue: 01 Pages: 2350002-2350002
- DOI
  10.1142/s0129167x23500027
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-ORGANIZER-22H05104, KAKENHI-PROJECT-19H01786, KAKENHI-PROJECT-22H04942
[Journal Article] Quantitative estimates for the Bakry-Ledoux isoperimetric inequality2022
- Author(s)
  Cong Hung Mai, Shin-ichi Ohta
- Journal Title
  
  Commentarii Mathematici Helvetici
  
  Volume: 96(4) Issue: 4 Pages: 693-739
- DOI
  10.4171/cmh/523
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20J11328, KAKENHI-PROJECT-17H02846, KAKENHI-ORGANIZER-22H05104, KAKENHI-PROJECT-19H01786
[Journal Article] Comparison theorems on weighted Finsler manifolds and spacetimes with ε-range2022
- Author(s)
  Yufeng Lu, Ettore Minguzzi and Shin-ichi Ohta
- Journal Title
  
  Analysis and Geometry in Metric Spaces
  
  Volume: 10 Issue: 1 Pages: 1-30
- DOI
  10.1515/agms-2020-0131
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846, KAKENHI-PROJECT-19H01786
[Journal Article] Quantitative estimates for the Bakry-Ledoux isoperimetric inequality II2022
- Author(s)
  Mai Cong Hung、Ohta Shin‐ichi
- Journal Title
  
  Bulletin of the London Mathematical Society
  
  Volume: 55 Issue: 1 Pages: 224-233
- DOI
  10.1112/blms.12723
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19H01786, KAKENHI-PROJECT-22H04942
[Journal Article] Self-contracted curves in spaces with weak lower curvature bound2021
- Author(s)
  Nina Lebedeva, Shin-ichi Ohta, Vladimir Zolotov
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 印刷中 Issue: 11 Pages: 8623-8656
- DOI
  10.1093/imrn/rnz347
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Journal Article] Geometry of weighted Lorentz-Finsler manifolds I singularity theorems2020
- Author(s)
  Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta
- Journal Title
  
  J. London Math. Soc
  
  Volume: online Issue: 1 Pages: 362-393
- DOI
  10.1112/jlms.12434
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846, KAKENHI-PROJECT-19H01786
[Journal Article] Rigidity for the spectral gap on RCD(K,∞)-spaces2020
- Author(s)
  Nicola, Gigli, Christian Ketterer, Kazumasa Kuwada, and Shin-ichi, Ohta
- Journal Title
  
  American J. Math.
  
  Volume: 142 Issue: 5 Pages: 1559-1594
- DOI
  10.1353/ajm.2020.0039
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Journal Article] Equality in the logarithmic Sobolev inequality2019
- Author(s)
  Shin-ichi Ohta, Asuka Takatsu
- Journal Title
  
  manuscripta math
  
  Volume: 162 Issue: 1-2 Pages: 271-7282
- DOI
  10.1007/s00229-019-01134-9
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-17H02846, KAKENHI-PROJECT-19H01786
[Journal Article] Rigidity for the spectral gap on RCD(K,∞)-spaces2019
- Author(s)
  Nicola Gigli, Christian Ketterer, Kazumasa Kuwada, Shin-ichi Ohta
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Journal Article] Heat kernel estimates on connected sums of parabolic manifolds2018
- Author(s)
  A. Grigor’yan, S.Ishiwata, L.Saloff-Coste
- Journal Title
  
  Journal de Mathematiques Pures et Appliquee
  
  Volume: 113 Issue: 1 Pages: 155-194
- DOI
  10.1007/s12220-018-00126-7
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846, KAKENHI-PROJECT-15K04844
[Journal Article] Needle decompositions and isoperimetric inequalities in Finsler geometry2018
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 70 Issue: 2 Pages: 651-693
- DOI
  10.2969/jmsj/07027604
- NAID
  130007383761
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844, KAKENHI-PROJECT-26287010, KAKENHI-PROJECT-17H02846
[Journal Article] Gradient flows and a Trotter-Kato formula of semi-convex functions on CAT(1)-spaces,2017
- Author(s)
  Shin-ichi Ohta, Miklos Palfia,
- Journal Title
  
  Amer. J. Math
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Journal Article] Nonlinear geometric analysis on Finsler manifolds2017
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287010
[Journal Article] Some functional inequalities on non-reversible Finsler manifolds2017
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Proc. Indian Acad. Sci. Math. Sci.
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04844
[Journal Article] Gradient flows and a Trotter-Kato formula of semi-convex functions on CAT(1)-spaces2017
- Author(s)
  Shin-ichi Ohta, Miklos Palfia
- Journal Title
  
  Amer. J. Math.
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Journal Article] Nonlinear geometric analysis on Finsler manifolds2017
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 印刷中 Issue: 4 Pages: 916-952
- DOI
  10.1007/s40879-017-0143-7
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04844
[Journal Article] Gradient flows and a Trotter-Kato formula of semi-convex functions on CAT(1)-spaces2016
- Author(s)
  Shin-ichi Ohta, Miklos Palfia
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-14F04320
[Journal Article] (K,N)-convexity and the curvature-dimension condition for negative N2016
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  The Journal of Geometric Analysis
  
  Volume: 印刷中 Issue: 3 Pages: 2067-2096
- DOI
  10.1007/s12220-015-9619-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04844
[Journal Article] Discrete-time gradient flows and law of large numbers in Alexandrov spaces2015
- Author(s)
  Shin-ichi Ohta, Miklos Palfia
- Journal Title
  
  Calc. Var. Partial Differential Equations
  
  Volume: 印刷中 Issue: 2 Pages: 1591-1610
- DOI
  10.1007/s00526-015-0837-y
- NAID
  120005678180
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740048, KAKENHI-PROJECT-14F04320
[Journal Article] Splitting theorems for Finsler manifolds of nonnegative Ricci curvature2015
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  J. Reine Angew. Math.
  
  Volume: 700 Issue: 700 Pages: 155-174
- DOI
  10.1515/crelle-2013-0011
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740048, KAKENHI-PROJECT-26287010
[Journal Article] Discrete-time gradient flows and law of large numbers in Alexandrov spaces2015
- Author(s)
  Shin-ichi Ohta, Miklos Palfia
- Journal Title
  
  Calc. Var. Partial Differential Equations
  
  Volume: 54 Pages: 1591-1610
- NAID
  120005678180
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287010
[Journal Article] Examples of spaces with branching geodesics satisfying the curvature-dimension condition2014
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Bull. Lond. Math. Soc.
  
  Volume: 43 Issue: 1 Pages: 19-25
- DOI
  10.1112/blms/bdt073
- NAID
  120005373086
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036, KAKENHI-PROJECT-23740048
[Journal Article] Splitting theorems for Finsler manifolds of nonnegative Ricci curvature2014
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  J. Reine Angew. Math.
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] On the curvature and heat flow on Hamiltonian systems2014
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Anal. Geom. Metr. Spaces
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Examples of spaces with branching geodesics satisfying the curvature-dimension condition2014
- Author(s)
  S. Ohta
- Journal Title
  
  Bull. Lond. Math. Soc
  
  Volume: 46, no.1 Pages: 19-25
- NAID
  120005373086
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Bochner -Weitzenböck formula and Li-Yau estimates on Finsler manifolds2014
- Author(s)
  S. Ohta and K.-Th.Sturm
- Journal Title
  
  Adv. Math
  
  Volume: 252 Pages: 429-448
- NAID
  120005353509
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] On the curvature and heat flow on Hamiltonian systems2014
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Anal. Geom. Metr. Spaces
  
  Volume: 2 Issue: 1 Pages: 81-114
- DOI
  10.2478/agms-2014-0003
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23740048, KAKENHI-PROJECT-26287010
[Journal Article] Bochner-Weitzenboeck formula and Li-Yau estimates on Finsler manifolds2014
- Author(s)
  Shin-ichi Ohta and Karl-Theodor Sturm
- Journal Title
  
  Adv. Math.
  
  Volume: 252 Pages: 429-448
- DOI
  10.1016/j.aim.2013.10.018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036, KAKENHI-PROJECT-23740048
[Journal Article] Heat flow on Alexandrov spaces2013
- Author(s)
  N. Gigli, K. Kuwada and S. Ohta (K. Kuwada)
- Journal Title
  
  Comm. Pure Appl. Math.
  
  Volume: 66 Issue: 3 Pages: 307-331
- DOI
  10.1002/cpa.21431
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036, KAKENHI-PROJECT-22740083, KAKENHI-PROJECT-23740048
[Journal Article] Weighted Ricci curvature estimates for Hilbert and Funk geometries2013
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Pacific J. Math.
  
  Volume: 265 Issue: 1 Pages: 185-197
- DOI
  10.2140/pjm.2013.265.185
- NAID
  120005399100
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036, KAKENHI-PROJECT-23740048
[Journal Article] Heat flow on Alexandrov spaces2013
- Author(s)
  N. Gigli, K. Kuwada and S. Ohta
- Journal Title
  
  Comm. Pure Appl. Math
  
  Volume: 66, no.3 Pages: 307-331
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Weighted Ricci curvature estimates for Hilbert and Funk geometries2013
- Author(s)
  S. Ohta
- Journal Title
  
  Pacific J. Math
  
  Volume: 265, no.1 Pages: 185-197
- NAID
  120005399100
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Caffarelli -Kohn-Nirenberg inequality on metric measure spaces with applications2013
- Author(s)
  A. Kristaly and S. Ohta
- Journal Title
  
  Math. Ann
  
  Volume: 357, no.2 Pages: 711-726
- NAID
  120005527983
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications2013
- Author(s)
  Alexandru Kristaly and Shin-ichi Ohta
- Journal Title
  
  Math. Ann.
  
  Volume: 357 Issue: 2 Pages: 711-726
- DOI
  10.1007/s00208-013-0918-1
- NAID
  120005527983
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036, KAKENHI-PROJECT-23740048
[Journal Article] Displacement convexity of generalized relative entropies. II2013
- Author(s)
  Shin-Ichi Ohta and Asuka Takatsu
- Journal Title
  
  Comm. Anal. Geom.
  
  Volume: 21 Issue: 4 Pages: 687-785
- DOI
  10.4310/cag.2013.v21.n4.a1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036, KAKENHI-PROJECT-23740048, KAKENHI-PROJECT-24740042
[Journal Article] Displacement convexity of generalized relative entropies II2013
- Author(s)
  S. Ohta and A. Takatsu
- Journal Title
  
  Comm. Anal. Geom
  
  Volume: 21, no.4 Pages: 687-785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Non-contraction of heat flow on Minkowski spaces2012
- Author(s)
  S. Ohta and K. Th. Sturm (S. Ohta)
- Journal Title
  
  Arch. Ration. Mech. Anal.
  
  Volume: 204 Issue: 3 Pages: 917-944
- DOI
  10.1007/s00205-012-0493-8
- NAID
  120004161069
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036, KAKENHI-PROJECT-23740048
[Journal Article] Barycenters in Alexandrov spaces of curvature bounded below2012
- Author(s)
  S. Ohta
- Journal Title
  
  Adv. Geom
  
  Volume: 12, no.4 Pages: 571-587
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Geometric analysis on Finsler manifolds2012
- Author(s)
  S. Ohta
- Journal Title
  
  (Japanese) Sugaku
  
  Volume: 64, no.4 Pages: 337-356
- NAID
  10031177299
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Non -contraction of heat flow on Minkowski spaces2012
- Author(s)
  S. Ohta and K.-Th. Sturm
- Journal Title
  
  Arch. Ration. Mech. Anal
  
  Volume: 204, no.3 Pages: 917-944
- NAID
  120004161069
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Geometric analysis on Finsler manifolds (Japanese)2012
- Author(s)
  S. Ohta
- Journal Title
  
  Sugaku
  
  Volume: 64 Pages: 337-356
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Barycenters in Alexandrov spaces of curvature bounded below2012
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Adv. Geom.
  
  Volume: 12 Issue: 4 Pages: 571-587
- DOI
  10.1515/advgeom-2011-058
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740048
[Journal Article] First variation formula in Wasserstein spaces over compact Alexandrov spaces2012
- Author(s)
  N. Gigli and S. Ohta
- Journal Title
  
  Canad. Math. Bull
  
  Volume: 55, no.4 Pages: 723-735
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] First variation formula in Wasserstein spaces over compact Alexandrov spaces2012
- Author(s)
  N. Gigli and S. Ohta (S. Ohta)
- Journal Title
  
  Canad. Math. Bull.
  
  Volume: 55 Issue: 4 Pages: 723-735
- DOI
  10.4153/cmb-2011-110-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036, KAKENHI-PROJECT-23740048
[Journal Article] Vanishing S-curvature of Randers spaces2011
- Author(s)
  S. Ohta
- Journal Title
  
  Differential Geom. Appl
  
  Volume: 29, no.2 Pages: 174-178
- NAID
  120002970862
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Displacement convexity of generalized relative entropies2011
- Author(s)
  Shin-ichi Ohta and Asuka Takatsu
- Journal Title
  
  Adv. Math
  
  Volume: 228 Issue: 3 Pages: 1742-1787
- DOI
  10.1016/j.aim.2011.06.029
- NAID
  120003405527
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244009, KAKENHI-PROJECT-22340036
[Journal Article] Vanishing S-curvature of Randers spaces2011
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Differential Geom.Appl.
  
  Volume: 29 Pages: 174-178
- NAID
  120002970862
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Lagrangian Floer theory on compact toric manifolds, II2011
- Author(s)
  K. Fukaya, Y.-G. Oh, H. Ohta and K. Ono
- Journal Title
  
  Selecta Mathematica New Series
  
  Volume: 17 Issue: 3 Pages: 609-711
- DOI
  10.1007/s00029-011-0057-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244002, KAKENHI-PROJECT-23244007
[Journal Article] Geometry of probability measure spaces2011
- Author(s)
  S. Ohta
- Journal Title
  
  (Japanese) Sugaku
  
  Volume: 63, no.1 Pages: 21-42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Vanishing S-curvature of Randers spaces2011
- Author(s)
  S.Ohta
- Journal Title
  
  Differentil Geom.Appli.
  
  Volume: 29 Issue: 2 Pages: 174-178
- DOI
  10.1016/j.difgeo.2010.12.007
- NAID
  120002970862
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] 確率測度の空間の幾何学2011
- Author(s)
  太田慎一
- Journal Title
  
  数学
  
  Volume: 63 Pages: 21-42
- NAID
  10029101805
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Displacement convexity of generalized relative entropies2011
- Author(s)
  Shin-ichi Ohta, Asuka Takatsu
- Journal Title
  
  Adv. Math.
  
  Volume: 228 Pages: 1742-1787
- NAID
  120003405527
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740048
[Journal Article] 確率測度の空間の幾何学2011
- Author(s)
  太田慎一
- Journal Title
  
  数学第63巻
  
  Pages: 21-42
- NAID
  10029101805
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Geometry of probability measure spaces2011
- Author(s)
  S.Ohta
- Journal Title
  
  Sugaku
  
  Volume: 63 Pages: 21-42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Vanishing S-curvature of Randers spaces2011
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Differential Geom. Appl.
  
  Volume: 29 Pages: 174-178
- NAID
  120002970862
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740048
[Journal Article] Vanishing S-curvature of Randers spaces2011
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Differential Geom.Appl. Vol.29
  
  Pages: 174-178
- NAID
  120002970862
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Displacement convexity of generalized relative entropies2011
- Author(s)
  S. Ohta and A. Takatsu
- Journal Title
  
  Adv. Math.
  
  Volume: 228, no.3 Pages: 1742-1787
- NAID
  120003405527
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Optimal transport and Ricci curvature in Finsler geometry2010
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Adv. Stud. Pure Math
  
  Volume: 57 Pages: 475-516
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244009
[Journal Article] Lagrangian Floer theory on compact toric manifolds I2010
- Author(s)
  K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
- Journal Title
  
  Duke Math. J
  
  Volume: 151, no.1 Pages: 23-174
- NAID
  120002598755
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Lagrangian Floer theory on compact toric manifolds I2010
- Author(s)
  Fukaya, Kenji ; Oh, Yong-Geun ; Ohta, Hiroshi ; Ono, Kaoru
- Journal Title
  
  Duke Math. J. 151
  
  Pages: 23-174
- NAID
  120002598755
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Optimal transport and Ricci curvature, in Finsler geometry2010
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Advanced studies in pure mathematics
  
  Volume: 57 Pages: 475-516
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244009
[Journal Article] Optimal transport and Ricci curvature in Finsler geometry. Probabilistic approach to geometry2010
- Author(s)
  S. Ohta
- Journal Title
  
  Adv. Stud. Pure Math, Math. Soc. Japan, Tokyo
  
  Volume: 57 Pages: 323-342
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340036
[Journal Article] Lagrangian Floer theory on compact toric manifolds I2010
- Author(s)
  K.Fukaya, Y.-G.Oh, H.Ohta, K.Ono
- Journal Title
  
  Duke Math.J.
  
  Volume: 151 Pages: 23-174
- NAID
  120002598755
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Anchored Lagrangian submanifolds and their Floer theory2010
- Author(s)
  K.Fukaya, Y.-G.Oh, H.Ohta, K.Ono
- Journal Title
  
  Contemp.Math.
  
  Volume: 527 Pages: 15-54
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Optimal transport and Ricci curvature in Finsler geometry2010
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Adv.Stud.Pure Math.
  
  Volume: 57 Pages: 323-342
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Anchored Lagrangian submanifolds and their Floer theory2010
- Author(s)
  K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
- Journal Title
  
  Mirror symmetry and tropical geometry
  
  Volume: 527 Pages: 15-54
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Heat flow on Finsler manifolds2009
- Author(s)
  Shin-ichi Ohta, Karl-T.Sturm
- Journal Title
  
  Comm.Pure Appl.Math. 62
  
  Pages: 1386-1433
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Markov type of Alexandrov spaces of nonnegative curvature2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Mathematika 55
  
  Pages: 177-189
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Canonical models of filtered $A_\infty$-algebras and Morse complexes.2009
- Author(s)
  Fukaya, Kenji ; Oh, Yong-Geun ; Ohta, Hiroshi ; Ono, Kaoru
- Journal Title
  
  New perspectives and challenges in symplectic field theory, Amer. Math. Soc., CRM Proc. Lecture Notes 49
  
  Pages: 201-227
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Gradient flows on Wasserstein spaces over compact Alexandrov spaces2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  American Journal of Mathematics 131
  
  Pages: 475-516
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Uniform convexity and smoothness, and their applications in Finsler geometry2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Math.Ann
  
  Volume: 343 Issue: 3 Pages: 669-699
- DOI
  10.1007/s00208-008-0286-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244009
[Journal Article] Canonical models of filtered A^∞-algebras and Morse complexes to appear CRM2009
- Author(s)
  K. Fukaya, Y.G.-Oh, H. Ohta, K. Ono
- Journal Title
  
  Proceedings and Lecture Notes Volume 49(accepted)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Finsler interpolation inequalities2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Calc.Var.Partial Differential Equations Vol.36
  
  Pages: 211-249
- NAID
  120001682347
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Gradient flows on Wasserstein spaces over compact Alexandrov spaces2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Amer.J.Math. Vol.131
  
  Pages: 475-516
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Canonical models of filtered$ A_{\infty}$-algebras and Morse complexes2009
- Author(s)
  K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
- Journal Title
  
  CRM Proc. Lecture Notes
  
  Volume: 49 Pages: 201-227
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Finsler interpolation inequalities2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Calc.Var.Partial Differential Equations 36
  
  Pages: 211-249
- NAID
  120001682347
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Canonical models of filtered A^∞-algebras and Morse complexes2009
- Author(s)
  K. Fukaya, Y. G. -Oh, H. Ohta, K. Ono
- Journal Title
  
  CRM Proceedings and Lecture Notes 49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18104001
[Journal Article] Uniform convexity and smoothness, and their applications in Finsler geometry2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Math.Ann. 343
  
  Pages: 669-699
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244009
[Journal Article] Gradient flows on Wasserstein spaces over compact Alexandrov spaces2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Amer.J.Math. 131
  
  Pages: 475-516
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244009
[Journal Article] Extending Lipschitz and Holder maps between metric spaces2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Positivity 13
  
  Pages: 407-425
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Uniform convexity and smoothness, and their applications in Finsler geometry2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Math.Ann. Vol.343
  
  Pages: 669-699
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Gradient flows on Wasserstein spaces over compact Alexandrov spaces, Amer2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  J.Math
  
  Volume: 131 Issue: 2 Pages: 475-516
- DOI
  10.1353/ajm.0.0048
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244009
[Journal Article] Markov type of Alexandrov spaces of nonnegative curvature2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Mathematika Vol.55
  
  Pages: 177-189
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Karl-Theodor Sturm, Heat flow on Finsler manifolds2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Comm.Pure Appl.Math. Vol.62
  
  Pages: 1386-1433
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Uniform convexity and smoothness, and their applications in Finsler geometry2009
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Mathematische Annalen 343
  
  Pages: 669-699
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740036
[Journal Article] Reqularity of harmonic functions in Cheeger-type Scbolev spaces2004
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Annals of Global Analysis and Geometry 26
  
  Pages: 397-410
- Data Source
  KAKENHI-PROJECT-16740034
[Journal Article] Harmonicity of totally geodesic maps into nonpositively curved metric spaces2004
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Manuscripta Mathematica 114
  
  Pages: 127-138
- Data Source
  KAKENHI-PROJECT-16740034
[Journal Article] Topology of complete manifolds with radial curvature bounded from below
- Author(s)
  Kei Kondo, Shin-ichi Ohta
- Journal Title
  
  Geometric and Functional Analysis (掲載決定)
- Data Source
  KAKENHI-PROJECT-16740034
[Journal Article] Reconstructions of distances by energy forms
- Author(s)
  Shin-ichi Ohta
- Journal Title
  
  Proceedings of the American Mathematical Society (掲載決定)
- Data Source
  KAKENHI-PROJECT-16740034
[Presentation] Geometry of weighted Finsler spacetimes2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  A Unified View of Quasi-Einstein Manifolds
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] On weighted Ricci curvature with negative dimension parameter2023
- Author(s)
  Shinichi Ohta
- Organizer
  MATRIX-RIMS Tandem Workshop: Geometric Analysis in Harmonic Analysis and PDE, RIMS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] On weighted Ricci curvature with negative dimension parameter2023
- Author(s)
  Shinichi Ohta
- Organizer
  Analysis and geometry of fractals and metric spaces: Recent developments and future prospects, Okinawa
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] Barycenters and a law of large numbers in Gromov hyperbolic spaces2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  Statistics in Metric Spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometry of weighted Finsler spacetimes2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  A unified view of Quasi-Einstein Manifolds, Canada
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] Geometry of weighted Finsler spacetimes2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  HeKKSaGOn Workshop: Analysis, Geometry and Stochastics on Metric Spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Barycenters and a law of large numbers in Gromov hyperbolic spaces2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  Statistics in Metric Spaces (CREST ENSAE Room 2033 Paris)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] 最適輸送理論の基礎と数学的応用2023
- Author(s)
  太田慎一
- Organizer
  情報数理ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometry of weighted Finsler spacetimes2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  VIASM-ICTP Workshop: Topics in Contemporary Differential Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometry of weighted Finsler spacetimes2023
- Author(s)
  Shinichi Ohta
- Organizer
  Non-regular Spacetime Geometry, Austria
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] Geometry of weighted Finsler spacetimes2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  VIASM-ICTP Workshop: Topics in Contemporary Differential Geometry, Vietnam
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] Discrete-time gradient flows in Gromov hyperbolic spaces2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  Statistics in Metric Spaces (CREST ENSAE Room 2033 Paris)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] Discrete-time gradient flows in Gromov hyperbolic spaces2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  Statistics in Metric Spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 総合ローレンツ幾何学について2023
- Author(s)
  太田慎一
- Organizer
  福岡大学微分幾何研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometry of weighted Finsler spacetimes2023
- Author(s)
  Shin-ichi Ohta
- Organizer
  HeKKSaGOn Workshop: Analysis, Geometry and Stochastics on Metric Spaces, RIMS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] Barycenters and a law of large numbers in Gromov hyperbolic spaces2022
- Author(s)
  Shin-ichi Ohta
- Organizer
  Pacific Rim Mathematical Association Congress 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Discrete-time gradient flows in Gromov hyperbolic spaces2022
- Author(s)
  Shin-ichi Ohta
- Organizer
  New Trends in Dirichlet Forms and Optimal Transport
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Comparison theorems under lower Ricci curvature bounds with epsilon-range2022
- Author(s)
  Shinichi Ohta
- Organizer
  Workshop on Aspects of Ricci Curvature Bounds, Fields Institute, Canada
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] Barycenters and a law of large numbers in Gromov hyperbolic spaces2022
- Author(s)
  Shinichi Ohta
- Organizer
  Pacific Rim Mathematical Association Congress 2022, Canada
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] 曲率次元条件の広がり2022
- Author(s)
  太田慎一
- Organizer
  測度距離空間の解析と幾何およびその展望，福岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] On weighted Ricci curvature with negative dimension parameter2022
- Author(s)
  Shin-ichi Ohta
- Organizer
  Analysis and geometry of fractals and metric spaces: Recent developments and future prospects
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Some quantitative estimates for the Bakry-Ledoux isoperimetric inequality2022
- Author(s)
  Shin-ichi Ohta
- Organizer
  Analysis on Metric Spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Comparison theorems under lower Ricci curvature bounds with epsilon-range2022
- Author(s)
  Shin-ichi Ohta
- Organizer
  Workshop on Aspects of Ricci Curvature Bounds
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometry of weighted Finsler spacetimes2022
- Author(s)
  Shin-ichi Ohta
- Organizer
  Non-regular Spacetime Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 距離空間上の凸関数の勾配流について2022
- Author(s)
  太田慎一
- Organizer
  数理・情報系研究集会，京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] On weighted Ricci curvature with negative dimension parameter2022
- Author(s)
  Shin-ichi Ohta
- Organizer
  MATRIX-RIMS Tandem Workshop on “Geometric Analysis in Harmonic Analysis and PDE
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Discrete-time gradient flows in Gromov hyperbolic spaces2022
- Author(s)
  Shin-ichi Ohta
- Organizer
  Differential Geometry and its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Barycenters and a law of large numbers in Gromov hyperbolic spaces2022
- Author(s)
  Shinichi Ohta
- Organizer
  数理・情報系研究集会，東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-22H04942
[Presentation] Comparison theorems with epsilon-range2021
- Author(s)
  太田慎一
- Organizer
  リーマン幾何と幾何解析
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] Geometric analysis on Finsler manifolds2021
- Author(s)
  Shin-ichi Ohta
- Organizer
  New Trends in Nonlinear Diffusion: a Bridge between PDEs, Analysis and Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometric analysis on Finsler manifolds2021
- Author(s)
  Shin-ichi Ohta
- Organizer
  New Trends in Nonlinear Diffusion: a Bridge between PDEs, Analysis and Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] Localization and isoperimetric inequalities2021
- Author(s)
  Shin-ichi Ohta
- Organizer
  International Conference on Riemann-Finsler Geometry and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 最適輸送理論と発展方程式2021
- Author(s)
  太田慎一
- Organizer
  機能性液晶の探索に向けたトポロジー手法
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] Comparison theorems with epsilon-range2021
- Author(s)
  太田慎一
- Organizer
  リーマン幾何と幾何解析
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Localization and isoperimetric inequalities2021
- Author(s)
  Shin-ichi Ohta
- Organizer
  International Conference on Riemann-Finsler Geometry and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] 最適輸送理論と発展方程式2021
- Author(s)
  太田慎一
- Organizer
  機能性液晶の探索に向けたトポロジー手法
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometry of weighted Lorentz-Finsler manifolds2019
- Author(s)
  Shin-ichi Ohta
- Organizer
  The second Taiwan-Japan Joint Conference on Differential Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] Geometry of weighted Lorentz-Finsler manifolds2019
- Author(s)
  Shin-ichi Ohta
- Organizer
  The second Taiwan-Japan Joint Conference on Differential Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 最適輸送理論の広がり－曲がり方、熱、画像解析まで－2019
- Author(s)
  太田慎一
- Organizer
  自然科学の数学的原理
- Invited
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Geometry of weighted Lorentz-Finsler manifolds2019
- Author(s)
  Shin-ichi Ohta
- Organizer
  The 5th Japan-China Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometry of weighted Lorentz-Finsler manifolds.2019
- Author(s)
  Shin-ichi Ohta
- Organizer
  The 5th Japan-China Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] 最適輸送理論の基礎と応用2019
- Author(s)
  Shin-ichi Ohta
- Organizer
  IPA Math Seminar Series
- Invited
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] 最適輸送理論の基礎と応用2019
- Author(s)
  太田慎一
- Organizer
  IPA Math Seminar Series
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Self-contracted curves in CAT(0)-spaces and their rectifiability2018
- Author(s)
  Shin-ichi Ohta
- Organizer
  Conference on Metrics and Measures
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Self-contracted curves in CAT(0)-spaces and their recti2018
- Author(s)
  Shin-ichi Ohta
- Organizer
  Conference on `Metrics and Measures', 東北大学（宮城県）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] Rectifiability of self-contracted curves with applications2018
- Author(s)
  Shin-ichi Ohta
- Organizer
  The Cut Locus 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Self-contracted curves in CAT(0)-spaces and their rectifiability2018
- Author(s)
  Shin-ichi Ohta
- Organizer
  Conference on `Metrics and Measures', 東北大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Rectifiability of self-contracted curves with applications2018
- Author(s)
  Shin-ichi Ohta
- Organizer
  Workshop on barycenters, convexity on metric spaces and positive operators
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Rectifiability of self-contracted curves with applications2018
- Author(s)
  Shin-ichi Ohta
- Organizer
  Workshop on barycenters, convexity on metric spaces and positive operators, Suwon, 韓国
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] Rectifiability of self-contracted curves with applications2018
- Author(s)
  Shin-ichi Ohta
- Organizer
  The Cut Locus 2018, 東海大学札幌キャンパス（北海道・札幌市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] フィンスラー多様体の熱流と幾何解析2018
- Author(s)
  太田慎一
- Organizer
  保存則をもつ偏微分方程式の解の正則性、特異性および漸近挙動の研究
- Invited
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Spectral gap and rigidity under positive Ricci curvature2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  23rd Rolf Nevanlinna Colloquium, Zurich (Switzerland)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] On weighted Ricci curvature of negative effective dimension2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  CMC conference: Optimal transport and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Spectral gap and rigidity under positive Ricci curvature2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  23rd Rolf Nevanlinna Colloquium
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] On weighted Ricci curvature of negative effective dimension2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  Intense Activity Period Metric Measure Spaces and Ricci Curvature, Bonn (Germany)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] Spectral gap and rigidity under positive Ricci curvature,2017
- Author(s)
  Shin-ichi Ohta,
- Organizer
  23rd Rolf Nevanlinna Colloquium, ETH Zurich, Switzerland.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] On weighted Ricci curvature of negative effective dimension2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  CMC conference: Optimal transport and related topics, Seoul (South Korea)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02846
[Presentation] On weighted Ricci curvature of negative effective dimension2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  Intense Activity Period "Metric Measure Spaces and Ricci Curvature"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Rigidity for the spectral gap inequality on RCD(K,∞)-spaces2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  Curvatures of Graphs, Simplicial Complexes and Metric Spaces
- Place of Presentation
  三亜，中国
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Rigidity for the spectral gap inequality on RCD(K,∞)-spaces2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  Dirichlet forms and their geometry
- Place of Presentation
  東北大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] On weighted Ricci curvature of negative effective dimension2017
- Author(s)
  Shin-ichi Ohta
- Organizer
  CMC conference: Optimal transport and related topics,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Some functional inequalities on non-reversible Finsler manifold2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  Optimal Transport and Applications
- Place of Presentation
  Pisa, Italy.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Nonlinear geometric analysis on Finsler manifolds: Some functional inequalities2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  Follow-up Workshop to JTP "Optimal Transportation"
- Place of Presentation
  Bonn, Germany
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Isoperimetric inequalities on Finsler manifolds2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  The Asian Mathematical Conference
- Place of Presentation
  Bali, Indonesia.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Nonlinear geometric analysis on Finsler manifolds: Gaussian isoperimetric inequality2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  Geometric Analysis on Riemannian and Metric Spaces
- Place of Presentation
  京都大学
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Gradient flows in CAT(1)-spaces2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  測地線及び関連する諸問題
- Place of Presentation
  熊本大学
- Year and Date
  2016-01-10
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Nonlinear geometric analysis on Finsler manifolds2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  The First Japan-Taiwan Joint Conference on Differential Geometry & the 8th TIMS- OCAMI-WASEDA Joint International Workshop on Differential Geometry and Geometric Analysis
- Place of Presentation
  早稲田大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Gradient flows in CAT(1)-spaces2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  測地線及び関連する諸問題
- Place of Presentation
  熊本大学
- Year and Date
  2016-01-10
- Invited
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Localization and isoperimetric inequalities2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  The Cut Locus: A Bridge Over Differential Geometry, Optimal Control, and Transport
- Place of Presentation
  Bangkok, Thailand
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Some functional inequalities on non-reversible Finsler manifolds2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  Optimal Transport and Applications
- Place of Presentation
  Pisa, Italy
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Isoperimetric inequalities on Finsler manifolds2016
- Author(s)
  Shin-ichi Ohta
- Organizer
  The Asian Mathematical Conference
- Place of Presentation
  Bali, Indonesia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Localization and isoperimetric inequalities in Finsler geometry2015
- Author(s)
  Shin-ichi Ohta
- Organizer
  第50回フィンスラー幾何学シンポジウム
- Place of Presentation
  広島大学
- Year and Date
  2015-10-22
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Localization method and isoperimetric inequalities2015
- Author(s)
  Shin-ichi Ohta
- Organizer
  Trends in Modern Geometry
- Place of Presentation
  東京大学
- Year and Date
  2015-07-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Localization and isoperimetric inequalities in Finsler geometry2015
- Author(s)
  Shin-ichi Ohta
- Organizer
  第50回フィンスラー幾何学シンポジウム
- Place of Presentation
  広島大学
- Year and Date
  2015-11-11
- Invited
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Localization method and isoperimetric inequalities2015
- Author(s)
  Shin-ichi Ohta
- Organizer
  確率論と幾何学
- Place of Presentation
  東京工業大学
- Year and Date
  2015-11-11
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Localization method and isoperimetric inequalities2015
- Author(s)
  Shin-ichi Ohta
- Organizer
  Trends in Modern Geometry 2015 & 10th Pacific Rim Complex Geometry Conference
- Place of Presentation
  東京大学
- Year and Date
  2015-07-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04844
[Presentation] Gradient flows of semi-convex functions on CAT(1)-spaces2014
- Author(s)
  Shin-ichi Ohta
- Organizer
  ERC Workshop on Optimal Transportation and Applications
- Place of Presentation
  Centro De Giorgi, Pisa
- Year and Date
  2014-10-27
- Invited
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Gradient flows of semi-convex functions on CAT(1)-spaces2014
- Author(s)
  Shin-ichi Ohta
- Organizer
  ERC Workshop on Optimal Transportation and Applications
- Place of Presentation
  Centro De Giorgi, Pisa (Italy)
- Year and Date
  2014-10-27
- Invited
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] On the curvature and heat flow on Hamiltonian systems2013
- Author(s)
  Shin-ichi Ohta
- Organizer
  確率論と幾何学
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] On the curvature and heat flow on Hamiltonian systems2013
- Author(s)
  太田慎一
- Organizer
  確率論と幾何学
- Place of Presentation
  京都大学理学部数学教室大会議室
- Year and Date
  2013-08-09
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] On the curvature and heat flow on Hamiltonian systems2013
- Author(s)
  Shin-ichi Ohta
- Organizer
  Geometry and probability
- Place of Presentation
  京都大学理学研究科数学教室
- Invited
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Curvature-dimension condition and heat flow on metric measure spaces2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  変分問題の展開ー確率論と交錯する変分問題
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Splitting theorems for Finsler manifolds of nonnegative Ricci curvature2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  IRS workshop "Optimal transportation and differential geometry"
- Place of Presentation
  BIRS, Banff, Canada
- Invited
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] 測度距離空間のリッチ曲率と熱流2012
- Author(s)
  太田慎一
- Organizer
  日本数学会2012年度年会(招待講演)
- Place of Presentation
  東京理科大学
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Splitting theorems for Finsler manifolds of nonnegative Ricci curvature2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  Conference on Geometry
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Ricci curvature bounds and heat flow on metric measure spaces2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  National Center for Theoretical Sciences
- Place of Presentation
  台湾国立大学, 中華民国
- Invited
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] 測度距離空間のリッチ曲率と熱流2012
- Author(s)
  太田慎一
- Organizer
  日本数学会年会総合講演
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-27
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Ricci curvature bounds and heat flow on metric measure spaces2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  Colloquium
- Place of Presentation
  National Taiwan University, Taipei
- Invited
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Splitting theorems for Finsler manifolds of nonnegative Ricci curvature2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  Conference on Geometry
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Ricci curvature in Finsler geometry and applications2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  MSJ-KMS Joint Meeting
- Place of Presentation
  九州大学医学部百周年記念講堂
- Invited
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Ricci curvature in Finsler geometry and applications2012
- Author(s)
  太田慎一
- Organizer
  The 4th geometry meeting dedicated to the centenary of A.D. Alexandrov
- Place of Presentation
  Euler institute, Saint-Petersburg(ロシア)
- Year and Date
  2012-08-21
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Curvature dimension condition and heat flow on metric measure spaces2012
- Author(s)
  太田慎一
- Organizer
  RIMS 研究集会「変分問題の展開-確率論と交錯する変分問題」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-06-10
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Ricci curvature in Finsler geometry and applications2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  The Fourth Geometry Meeting dedicated to the centenary of A. D. Alexandrov
- Place of Presentation
  Saint-Petersburg, Russia
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Ricci curvature in Finsler geometry and applications2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  MSJ-KMS Joint Meeting
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Splitting theorems of Finsler manifolds with non-negative Ricci curvatures2012
- Author(s)
  太田慎一
- Organizer
  BIRS workshop "Optimal transport and differential geometry"
- Place of Presentation
  BIRS, Banff(カナダ)
- Year and Date
  2012-05-20
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Splitting theorems for Finsler manifolds of nonnegative Ricci curvature2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  Optimal Transportation and Differential Geometry
- Place of Presentation
  Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada
- Invited
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] 測度距離空間のリッチ曲率と熱流2012
- Author(s)
  太田慎一
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大学(東京)(招待講演)
- Year and Date
  2012-03-27
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Splitting theorems of Finsler manifolds with non-negative Ricci curvatures2012
- Author(s)
  太田慎一
- Organizer
  Conference on geometry
- Place of Presentation
  京都大学
- Year and Date
  2012-05-28
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Curvature-dimension condition and heat flow on metric measure spaces2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  RIMS 研究集会「変分問題の展開–確率論と交錯する変分問題」
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] On Ricci Curvature for Lagrangian/Hamiltonian Systems2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  ERC Workshop on Optimal Transportation and Applications
- Place of Presentation
  Scuola Normale Superiore, Pisa, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Ricci curvature in Finsler geometry and applications2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  The eighth China-Japan Friendship Conference on Differential Geometry
- Place of Presentation
  Sichuan University, Chengdu, China
- Invited
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Ricci curvature in Finsler geometry and applications2012
- Author(s)
  太田慎一
- Organizer
  MSJ-KMS joint meeting
- Place of Presentation
  九州大学医学部百周年記念講堂
- Year and Date
  2012-09-17
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Ricci curvature in Finsler geometry and applications2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  The eighth China-Japan Friendship Conference on Differential Geometry
- Place of Presentation
  Sichuan University, Chengdu, China.
- Invited
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] On Ricci curvature for Lagrangean/Hamiltonian systems2012
- Author(s)
  太田慎一
- Organizer
  ERC Workshop on optimal transportaion and applications
- Place of Presentation
  Scuola Normale Superiore,Pisa( イタリア)
- Year and Date
  2012-11-05
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] On Ricci curvature for Lagrangian/Hamiltonian systems2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  ERC Workshop on Optimal Transportation and Applications
- Place of Presentation
  Centro De Giorgi, Pisa, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Ricci Curvature in Finsler Geomtery and Applications2012
- Author(s)
  Shin-ichi Ohta
- Organizer
  The Fourth Geometry Meeting dedicated to the centenary of A.D.Alexandrov
- Place of Presentation
  Euler Institute, Saint-Petersburg, Russia
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] ミンコフスキ空間の熱流の非収縮性2011
- Author(s)
  太田慎一
- Organizer
  フラクタルの数学的諸相
- Place of Presentation
  加賀(招待講演)
- Year and Date
  2011-02-22
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] フィンスラー多様体のリッチ曲率2011
- Author(s)
  太田慎一
- Organizer
  日本数学会秋期総合分科会幾何学分科会特別講演
- Place of Presentation
  信州大学
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] Bochner formula on Finsler manifolds and applications2011
- Author(s)
  Shin-ichi Ohta
- Organizer
  International Conference on Riemann-Finsler Geometry and Related Topics, in memory of the centenary birthday of S. S. Chern(招待講演)
- Place of Presentation
  Zhejiang University, Hangzhou (China)
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] ミンコフスキ空間の熱流の非収縮性2011
- Author(s)
  太田慎一
- Organizer
  日本数学会2011年度年会
- Place of Presentation
  早稲田大学(一般講演)
- Year and Date
  2011-03-22
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] フィンスラー多様体のリッチ曲率2011
- Author(s)
  太田慎一
- Organizer
  日本数学会2011年度秋季総合分科会(招待講演)
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] ミンコフスキ空間の熱流の非収縮性2011
- Author(s)
  太田慎一
- Organizer
  リーマン幾何と幾何解析
- Place of Presentation
  筑波大学(招待講演)
- Year and Date
  2011-02-18
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Bochner formula on Finsler manifolds and applications2011
- Author(s)
  太田慎一
- Organizer
  第58回幾何学シンポジウム(招待講演)
- Place of Presentation
  山口大学
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] フィンスラー多様体のリッチ曲率2011
- Author(s)
  太田慎一
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  信州大学(長野)(招待講演)
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-22340036
[Presentation] 勾配流としての熱流2011
- Author(s)
  太田慎一
- Organizer
  第九回浜松偏微分方程式研究集会(招待講演)
- Place of Presentation
  静岡大学浜松キャンパス
- Data Source
  KAKENHI-PROJECT-23740048
[Presentation] Ricci curvature and optimal transport2010
- Author(s)
  Shin-ichi Ohta
- Organizer
  Oberseminar Differentialgeometrie
- Place of Presentation
  Munster, GERMANY
- Year and Date
  2010-07-19
- Data Source
  KAKENHI-PROJECT-21244009
[Presentation] Non contraction of heat flow on Minkowski spaces2010
- Author(s)
  Shin-ichi Ohta
- Organizer
  ERC Workshop on Optimal Transportation and Applications
- Place of Presentation
  Pisa, Italy(招待講演)
- Year and Date
  2010-10-12
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Displacement convexity of generalized relative entropies2010
- Author(s)
  Shin-ichi Ohta
- Organizer
  34th Conference on Stochastic Processes and Their Applications
- Place of Presentation
  大阪
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Displacement convexity of generalized relative entropies2010
- Author(s)
  Shin-ichi Ohta
- Organizer
  34th Conference on Stochastic Processes and Their Applications
- Place of Presentation
  千里ライフサイエンスセンタービル
- Year and Date
  2010-09-10
- Data Source
  KAKENHI-PROJECT-21244009
[Presentation] Non-contraction of heat flow on Minkowski spaces2010
- Author(s)
  Shin-ichi Ohta
- Organizer
  ERC Workshop on Optimal Transportation and Applications
- Place of Presentation
  ピサ(イタリア)
- Year and Date
  2010-10-12
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Displacement convexity of generalized relative entropies2010
- Author(s)
  Shin-ichi Ohta
- Organizer
  34^<th> Conference on Stochastic Processes and Their Applications
- Place of Presentation
  大阪(招待講演)
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Non-contraction of heat flow on Minkowski spaces2010
- Author(s)
  Shin-ichi Ohta
- Organizer
  ERC Workshop on Optimal Transportation and Applications
- Place of Presentation
  Centro De Giorgi, Pisa, ITALY
- Year and Date
  2010-10-12
- Data Source
  KAKENHI-PROJECT-21244009
[Presentation] Weighted Ricci curvature of Finsler manifolds2009
- Author(s)
  Shin-ichi Ohta
- Organizer
  Workshop on Finsler Geometry and its Applications
- Place of Presentation
  Debrecen(ハンガリー)
- Year and Date
  2009-05-26
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Ricci curvature, entropy and optimal transport2009
- Author(s)
  Shin-ichi Ohta
- Organizer
  Optimal Transportation : Theory and Applications
- Place of Presentation
  Grenoble(フランス)
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Ricci curvature, entropy and optimal transport2009
- Author(s)
  Shin-ichi Ohta
- Organizer
  Optimal Transportation: Theory and Applications
- Place of Presentation
  Universite Joseph Fourier, Grenoble, FRANCE
- Data Source
  KAKENHI-PROJECT-21244009
[Presentation] Weighted Ricci curvature and heat flow on Finsler manifolds2009
- Author(s)
  Shin-ichi Ohta
- Organizer
  Workshop on Riemannian and Non-Riemannian Geometry
- Place of Presentation
  Indianapolis, USA
- Year and Date
  2009-08-08
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Ricci curvature, entropy and optimal transport2009
- Author(s)
  Shin-ichi Ohta
- Organizer
  Optimal Transportation : Theory and Applications
- Place of Presentation
  Universite Joseph Fourier, Grenoble (France)
- Data Source
  KAKENHI-PROJECT-21244009
[Presentation] Weighted Ricci curvature and heat flow on Finsler manifolds2009
- Author(s)
  Shin-ichi Ohta
- Organizer
  Workshop on Riemannian and Non-Riemannian Geometry
- Place of Presentation
  Indianapolis(アメリカ合衆国)
- Year and Date
  2009-08-08
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Weighted Ricci curvature of Finsler manifolds2009
- Author(s)
  Shin-ichi Ohta
- Organizer
  Workshop on Finsler Geometry and its Applications
- Place of Presentation
  Debrecen, Hungary
- Year and Date
  2009-05-26
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Ricci curvature, entropy and optimal transport2009
- Author(s)
  Shin-ichi Ohta
- Organizer
  Optimal Transportation : Theory and Applications
- Place of Presentation
  Grenoble, France
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] フィンスラー多様体のリッチ曲率と曲率次元条件2008
- Author(s)
  太田慎一
- Organizer
  第55回幾何学シンポジウム
- Place of Presentation
  弘前大学
- Year and Date
  2008-08-23
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] 確率測度の空間の幾何学2008
- Author(s)
  太田慎一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] 確率測度の空間の幾何学2008
- Author(s)
  太田慎一
- Organizer
  日本数学会2008年度秋季総合分科会
- Place of Presentation
  東京工業大学(特別講演)
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Optimal transport and Ricci curvature in Finsler geometry2008
- Author(s)
  Shin-ichi Ohta
- Organizer
  The 1st MSJ-SI "Probabilistic Approach in Geometry"
- Place of Presentation
  京都大学
- Year and Date
  2008-07-29
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] フィンスラー多様体のリッチ曲率と最適輸送理論2008
- Author(s)
  太田慎一
- Organizer
  第43回フィンスラー幾何学シンポジウム
- Place of Presentation
  宇都宮
- Year and Date
  2008-11-06
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Optimal transport and Ricci curvature in Finsler geometry2008
- Author(s)
  Shin-ichi Ohta
- Organizer
  The 1st MSJ-SI : Probabilistic Approach to Geometry
- Place of Presentation
  京都大学
- Year and Date
  2008-07-29
- Data Source
  KAKENHI-PROJECT-20740036
[Presentation] Homotopy theory of A infinity algebras II2007
- Author(s)
  Hiroshi Ohta
- Organizer
  Toward relative symplectic Field theory
- Place of Presentation
  ニューヨーク市立大学
- Year and Date
  2007-09-07
- Data Source
  KAKENHI-PROJECT-18104001
[Presentation] 「曲率次元条件」，「リーマン的曲率次元条件にまつわる最近の進展」
- Author(s)
  太田慎一
- Organizer
  第63回Encounter with Mathematics:「最適輸送理論とリッチ曲率～物を運ぶと曲率がわかる～」
- Place of Presentation
  中央大学（東京都）
- Year and Date
  2015-02-20 – 2015-02-21
- Invited
- Data Source
  KAKENHI-PROJECT-23740048

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# of Collaborated Projects: 4 results

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ohta Shinichi 太田 慎一

OHTA Shin-ichi 太田 慎一

太田 慎一 オオタ シンイチ

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New developments in gradient flow theory on metric spacesPrincipal Investigator

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最適輸送理論の深化－数理情報の融合研究－Principal Investigator

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Geometry of optimal transport theory and gradient flowsPrincipal Investigator

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Comparison geometry of Finsler manifolds and gradient flowsPrincipal Investigator

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距離空間内の勾配流とその応用Principal Investigator

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Geometry of metric measure spaces and optimal transport theoryPrincipal Investigator

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ohta Shinichi 太田慎一

OHTA Shin-ichi 太田慎一

太田慎一オオタシンイチ