TAKATSU ASUKA 高津飛鳥

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ASUKA TAKATSU 高津飛鳥

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Researcher Number	90623554
Other IDs
Affiliation (Current)	2025: 東京大学, 大学院数理科学研究科, 教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 東京都立大学, 理学研究科, 准教授 2017 – 2019: 首都大学東京, 理学研究科, 准教授 2015 – 2017: 首都大学東京, 理工学研究科, 准教授 2012 – 2014: 名古屋大学, 多元数理科学研究科, 助教
Review Section/Research Field	Principal Investigator Geometry / Medium-sized Section 11:Algebra, geometry, and related fields / Basic Section 11020:Geometry-related Except Principal Investigator Medium-sized Section 11:Algebra, geometry, and related fields / Broad Section B / Basic Section 12020:Mathematical analysis-related / Basic Section 11020:Geometry-related / Mathematical Sciences in Search of New Cooperation
Keywords	Principal Investigator 最適輸送理論 / 情報幾何 / 曲率 / 凸性 / 熱流 / 測度の集中現象 / 測度距離空間 / 情報幾何学 / 熱方程式 / リッチ曲率 … More / 凸性・凹性 / 固有値問題 / 凹性 / 最適輸送 / 測度の集中 / エントロピー / 曲率次元条件 / 等周不等式 / 測度の集中減少 … More Except Principal Investigator 情報幾何学 / ADM理論 / 高次元重力ソリトン / 調和写像 / 重力波天文学 / 一般相対性理論 / 高階線形熱方程式 / Joseph--Lundgren 指数 / シュレーディンガー熱半群 / 初期トレース / F-凹性 / 分数冪熱方程式 / 指数型非線形楕円型方程式 / 凹性保存 / 冪凹性 / 爆発現象 / 冪凹生 / 漸近解析 / 形状解析 / Trudinger-Moser 型不等式 / Hardy 型不等式 / Sobolev 不等式 / 関数不等式 / コンパクト性の喪失 / 領域の幾何 / Trudinger-Moser 不等式 / Hardy 不等式 / 爆発解析 / 非コンパクト性 / 臨界型変分問題 / 対数ソボレフ不等式 / 局所化 / エントロピー / ローレンツ幾何学 / フィンスラー幾何学 / フィンスラー多様体 / 測度の集中 / 分解定理 / ローレンツ・フィンスラー多様体 / 等周不等式 / Wasserstein距離 / 最適輸送理論 / 曲率 / ピラミッド / ローレンツ幾何 / 非線形熱流 / 情報幾何 / 重心 / Gromov双曲空間 / フィンスラー時空 / リッチ曲率 / 凸関数 / 勾配流 / 最適輸送 / 形態情報科学 / 幾何学的統計理論 / 微分幾何学 / 幾何学 / Wasserstein幾何学 / マルコフ埋め込み Less

Geometric studies of the Einstein equation via theoretical physics and gravitational astronomy
- Principal Investigator
  
  山田澄生
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Gakushuin University
Interpolation between Optimal transport and Information geometryPrincipal Investigator
- Principal Investigator
  
  高津飛鳥
- 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
  Tokyo Metropolitan University
Study on curvatures from the viewpoint of new convexities and its application to geometric analysisPrincipal Investigator
- Principal Investigator
  
  高津飛鳥
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo Metropolitan University
Geometry of optimal transport theory and gradient flows
- 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
The influence of domains on the variational problems of critical type: global structures of solution spaces and the mechanism of the loss of compactness
- Principal Investigator
  
  Takahashi Futoshi
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka Metropolitan University
  Osaka City University
Systematical geometric analysis and asymptotic analysis for evolution equations
- Principal Investigator
  
  石毛和弘
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Review Section
  
  Broad Section B
- Research Institution
  The University of Tokyo
Unified construction of geometric theory for information space and morphological information science
- Principal Investigator
  
  Matsuzoe Hiroshi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Nagoya Institute of Technology
Application of Optimal Transport and Information geometry to Metric Measure SpacesPrincipal Investigator
- Principal Investigator
  
  TAKATSU Asuka
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
Relation between measure concentration inequality and isoperimetric inequality under the curvature dimension conditionPrincipal Investigator
- Principal Investigator
  
  ASUKA TAKATSU
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation Book

[Book] 数学メモアール　第８巻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; 高津飛鳥; 桒田和正
- Total Pages
  141
- Publisher
  日本数学会
- Data Source
  KAKENHI-PROJECT-15K17536
[Journal Article] Spectral convergence of high-dimensional spheres to Gaussian spaces2023
- Author(s)
  Takatsu Asuka
- Journal Title
  
  Journal of Spectral Theory
  
  Volume: 12 Issue: 4 Pages: 1317-1346
- DOI
  10.4171/jst/424
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03494
[Journal Article] Hierarchy of deformations in concavity2022
- Author(s)
  Ishige Kazuhiro、Salani Paolo、Takatsu Asuka
- Journal Title
  
  Information Geometry
  
  Volume: - Issue: S1 Pages: 251-269
- DOI
  10.1007/s41884-022-00088-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Journal Article] New characterizations of log-concavity via Dirichlet heat flow2022
- Author(s)
  Ishige Kazuhiro、Salani Paolo、Takatsu Asuka
- Journal Title
  
  Annali di Matematica Pura ed Applicata (1923 -)
  
  Volume: 201 Issue: 4 Pages: 1531-1552
- DOI
  10.1007/s10231-021-01168-5
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
[Journal Article] Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains2022
- Author(s)
  Ishige Kazuhiro、Salani Paolo、Takatsu Asuka
- Journal Title
  
  Communications in Contemporary Mathematics
  
  Volume: 24 Issue: 09 Pages: 1-29
- DOI
  10.1142/s0219199721500978
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
[Journal Article] Invariant Metric Under Deformed Markov Embeddings with Overlapped Supports2021
- Author(s)
  Matsuzoe Hiroshi、Takatsu Asuka
- Journal Title
  
  Results in Mathematics
  
  Volume: 76 Issue: 2
- DOI
  10.1007/s00025-021-01358-w
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-19H01786, KAKENHI-PROJECT-19K03489
[Journal Article] Change the coefficients of conditional entropies in extensivity2021
- Author(s)
  Takatsu Asuka
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 62 Issue: 10 Pages: 103305-103305
- DOI
  10.1063/5.0038164
- Data Source
  KAKENHI-PROJECT-19K03494
[Journal Article] Gauge Freedom of Entropies on q-Gaussian Measures2021
- Author(s)
  Matsuzoe Hiroshi, Takatsu Asuka
- Journal Title
  
  Progress in Information Geometry
  
  Volume: - Pages: 127-152
- DOI
  10.1007/978-3-030-65459-7_6
- ISBN
  9783030654580, 9783030654597
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03489, KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-19H01786
[Journal Article] To logconcavity and beyond2019
- Author(s)
  Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
- Journal Title
  
  Communications in Contemporary Mathematics
  
  Volume: 印刷中 Issue: 02 Pages: 1950009-1950009
- DOI
  10.1142/s0219199719500093
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0132, KAKENHI-PROJECT-15K17536, KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H01786, KAKENHI-PROJECT-19H05599
[Journal Article] Convergence of combinatorial Ricci flows to degenerate circle patterns2019
- Author(s)
  Asuka Takatsu
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 印刷中 Issue: 11 Pages: 7597-7617
- DOI
  10.1090/tran/7778
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16KT0132, KAKENHI-PROJECT-15K17536, KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-19H01786
[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] High-dimensional metric-measure limit of Stiefel and flag manifolds2018
- Author(s)
  Shioya Takashi、Takatsu Asuka
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: - Issue: 3-4 Pages: 1-35
- DOI
  10.1007/s00209-018-2044-y
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400060, KAKENHI-PROJECT-15K17536, KAKENHI-PROJECT-24244004, KAKENHI-PROJECT-26287010, KAKENHI-PROJECT-17H02846, KAKENHI-PROJECT-16H03937, KAKENHI-PROJECT-15H05739
[Journal Article] 書評　C. Villani: Optimal Transport-Old and New2015
- Author(s)
  高津　飛鳥
- Journal Title
  
  数学
  
  Volume: 67
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K17536
[Journal Article] Isoperimetric profile of radial probability measures on Euclidean spaces2014
- Author(s)
  Asuka TAKATSU
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 266 Issue: 6 Pages: 3435-3454
- DOI
  10.1016/j.jfa.2014.01.014
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740042
[Journal Article] Behaviors of $\varphi$-Exponential Distributions in Wasserstein Geometry and an Evolution Equation2013
- Author(s)
  Asuka TAKATSU
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 45 Issue: 4 Pages: 2546-2556
- DOI
  10.1137/110849304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740042
[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] Cone structure of $L^2$-Wasserstein spaces2012
- Author(s)
  Asuka TAKATSU, Takumi YOKOTA
- Journal Title
  
  Journal of Topology and Analysis
  
  Volume: 4 Issue: 02 Pages: 237-253
- DOI
  10.1142/s1793525312500112
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] Non-preservation of concavity properties by the Dirichlet heat flow on Riemannian manifolds2024
- Author(s)
  Asuka TAKATSU
- Organizer
  MATRIX-RIMS Tandem Workshop:Evolutionary Partial Differential Equations and Applications
- Invited
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Riemannian starshape and capacitary problems2023
- Author(s)
  Asuka TAKATSU
- Organizer
  EURO-JAPANESE Conference on Nonlinear Diffusions
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Sliced Wasserstein距離構造について2023
- Author(s)
  高津飛鳥
- Organizer
  Workshop OT 2023最適輸送とその周辺 - 機械学習から熱力学的最適化まで
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Geometry of sliced/disintegrated Monge--Kantorovich metrics2023
- Author(s)
  Asuka TAKTATSU
- Organizer
  Magnitude 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] 星状集合とCpapacitary問題2023
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Sliced Monge--Kantorovich 距離の幾何学的性質2023
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Sliced Wasserstein metric and its properties2023
- Author(s)
  Asuka TAKATSU
- Organizer
  MATRIX--RIMS Tandem Workshop"Geometric Analysis in Harmonic Analysis and PDE"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Sliced Monge-Kantorovich距離の幾何学的性質2023
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Riemannian starshape and capacitary problems2023
- Author(s)
  Asuka Takatsu
- Organizer
  Functional Inequalities and Asymptotic Analysis of Nonlinear Elliptic Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Bregman divergence regularization of optimal transport problems on a finite set2023
- Author(s)
  Asuka TAKATSU
- Organizer
  KI seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Spectral convergence of high-dimensional spheres to Gaussian spaces2022
- Author(s)
  Asuka TAKATSU
- Organizer
  New Trends in Nonlinear Diffusion: a Bridge between PDEs, Analysis and Geometry,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Curvature and Optimal transport2022
- Author(s)
  Asuka Takatsu
- Organizer
  Analysis on Metric Spaces Unit Mini-course
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Spectral convergence of high-dimensional spheres to Gaussian spaces2022
- Author(s)
  Asuka TAKATSU
- Organizer
  New Trends in Nonlinear Diffusion: a Bridge between PDEs, Analysis and Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H05599
[Presentation] Concavity properties preserved by Dirichlet heat flow2022
- Author(s)
  Asuka TAKATSU
- Organizer
  New Trends in Dirichlet Forms and Optimal Transport
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] 熱流における関数の凹性保存法2022
- Author(s)
  高津飛鳥
- Organizer
  2022年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Relaxation of optimal transport problem via Bregman divergence2021
- Author(s)
  Asuka TAKATSU
- Organizer
  The 27th Osaka City University International Academic Symposium Mathematical Science of Visualization, and Deepening of Symmetry and Moduli
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Change the coefficients of conditional entropies in extensivity2021
- Author(s)
  Asuka TAKATSU
- Organizer
  Women at the intersection of Mathematics and Theoretical Physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Relaxation of optimal transport problem via Bregman divergence2021
- Author(s)
  Asuka Takatsu
- Organizer
  The 27th Osaka City University International Academic Symposium Mathematical Science of Visualization, and Deepening of Symmetry and Moduli
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 回転対称距離球上の楕円型・放物型方程式の解の凹性2020
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 私的最適輸送理論-離散とユークリッドの場合-2020
- Author(s)
  高津飛鳥
- Organizer
  第12回三部会連携「応用数理セミナー」
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Elliptic and parabolic boundary value problems on rotationally symmetric domains2020
- Author(s)
  Asuka TAKATSU
- Organizer
  OIST Mini Symposium “Partial Differential Equations under Various Metrics"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] 回転対称距離球上の楕円型・放物型方程式の解の凹性2020
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Cencov の定理再訪2019
- Author(s)
  高津飛鳥, 松添博
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16KT0132
[Presentation] Equality in the logarithmic Sobolev inequality2019
- Author(s)
  Asuka TAKATSU
- Organizer
  6th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] 対数ソボレフ不等式に対する剛性定理2019
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] Equality in the logarithmic Sobolev inequality2019
- Author(s)
  Asuka Takatsu
- Organizer
  6th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Convergence of combinatorial Ricci flows to degenerate circle patterns2019
- Author(s)
  Asuka TAKATSU
- Organizer
  AIMR Workshop on Pure and Applied Mathematics,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] Cencovの定理再訪2019
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 対数ソボレフ不等式に対する剛性定理2019
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Cencovの定理再訪2019
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03494
[Presentation] To log concavity and beyond2018
- Author(s)
  Asuka Takatsu
- Organizer
  Workshop on barycenters, convexity on metric spaces and positive operators
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0132
[Presentation] 退化した Circle Pattern に収束するトーラス上の組合せリッチ流2018
- Author(s)
  高津飛鳥
- Organizer
  2018年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] To logconcavity and beyond2018
- Author(s)
  Asuka TAKATSU
- Organizer
  Workshop on barycenters, convexity on metric spaces and positive operators
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] 退化した Circle Pattern に収束するトーラス上の組合せリッチ流2018
- Author(s)
  高津飛鳥
- Organizer
  2018年度日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16KT0132
[Presentation] Wasserstein幾何と情報幾何2017
- Author(s)
  高津飛鳥
- Organizer
  東北大学理学研究科数学専攻談話会
- Invited
- Data Source
  KAKENHI-PROJECT-16KT0132
[Presentation] High-dimensional metric-measure limit of Stiefel and Grassmann manifolds2017
- Author(s)
  Asuka TAKATSU
- Organizer
  Dirichlet forms and their geometry
- Place of Presentation
  東北大学
- Year and Date
  2017-03-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] Curvature Dimension condition from the viewpoint of Information geometry2016
- Author(s)
  Asuka TAKATSU
- Organizer
  Follow-up Workshop to JTP "Optimal Transportation"
- Place of Presentation
  ボン（ドイツ）
- Year and Date
  2016-09-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] Riemannian Wasserstein geometry on the space of Gaussian measures over the Wiener space2016
- Author(s)
  Asuka Takatsu
- Organizer
  第１回日本-台湾微分幾何研究集会
- Place of Presentation
  早稲田大学
- Year and Date
  2016-12-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0132
[Presentation] Curvature Dimension condition from the viewpoint of Information geometry2016
- Author(s)
  Asuka Takatsu
- Organizer
  Follow-up Workshop to JTP "Optimal Transportation"
- Place of Presentation
  Hausdorff Research Institute for Mathematics
- Year and Date
  2016-08-29
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0132
[Presentation] Riemannian Wasserstein geometry on the space of Gaussian measures over the Wiener space2016
- Author(s)
  Asuka TAKATSU
- Organizer
  第１回日本-台湾微分幾何研究集会
- Place of Presentation
  早稲田大学
- Year and Date
  2016-12-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] Wasserstein/Information geometry and its applications2016
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2016年年会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-19
- Invited
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] Wasserstein/Information geometry and its applications2016
- Author(s)
  Asuka TAKATSU
- Organizer
  The 7th Pacific RIM Conference on Mathematics 2016
- Place of Presentation
  ソウル（韓国）
- Year and Date
  2016-06-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] 抽象 Wiener 空間上の Gauss 測度族の Wasserstein 幾何2015
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2015年度秋季総合分科会,
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-16
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] 測度距離空間としての Stiefel 多様体族の極限2015
- Author(s)
  高津飛鳥
- Organizer
  日本数学会2015年度秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-16
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] エントロピーと Wasserstein 幾何2015
- Author(s)
  高津飛鳥
- Organizer
  第63回 Encounter with Mathematics
- Place of Presentation
  中央大学
- Year and Date
  2015-02-20
- Invited
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] Behaviors of varphi-Gaussian measures in Wasserstein geometry2015
- Author(s)
  Asuka TAKATSU
- Organizer
  Computational information geometry for image and signal processing
- Place of Presentation
  ICMS(Edinburgh)
- Year and Date
  2015-09-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17536
[Presentation] Wasserstein幾何とφ-正規分布族2014
- Author(s)
  高津飛鳥
- Organizer
  第17回情報論的学習理論ワークショップ
- Place of Presentation
  名古屋大学
- Year and Date
  2014-10-18
- Invited
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] Displacement convexity of generalized relative entropy2012
- Author(s)
  Asuka TAKATSU
- Organizer
  The Fourth Geometry Meeting dedicated to the centenary of A.D.Alexandrov
- Place of Presentation
  he Euler International Mathematical Institute
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] Isoperimetric problem for radial probability measures2012
- Author(s)
  Asuka TAKATSU
- Organizer
  確率論と幾何学
- Place of Presentation
  大学コンソーシアムやまがたゆうキャンパス・ステーション
- Invited
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] Isoperimetric problem for radial probability measures2012
- Author(s)
  Asuka TAKATSU
- Organizer
  低次元多様体モジュライ空間の幾何学
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] Wasserstein/Information geometric aspect of some evolution equations
- Author(s)
  高津飛鳥
- Organizer
  第6 回東北楕円型・放物型微分方程式研究集会
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] Isoperimetric inequality for radial probability measure on Euclidean spaces
- Author(s)
  高津飛鳥
- Organizer
  Rigidity Seminar
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] Some evolution equations as Wasserstein gradient flows
- Author(s)
  高津飛鳥
- Organizer
  偏微分方程式の幾何
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] 最適輸送理論を廻る話
- Author(s)
  高津飛鳥
- Organizer
  若者のための現代幾何入門,
- Place of Presentation
  大阪大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740042
[Presentation] 輸送不等式と測度の集中現象
- Author(s)
  高津飛鳥
- Organizer
  第60回幾何学シンポジウム
- Place of Presentation
  東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740042

1. 石渡通徳 (30350458)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. Matsuzoe Hiroshi (90315177)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
3. Ohta Shin-ichi (00372558)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
4. Takahashi Futoshi (10374901)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 横田巧 (70583855)

# of Collaborated Projects: 1 results

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6. 加藤信 (10243354)

# of Collaborated Projects: 1 results

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7. 橋詰雅斗 (20836712)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 猪奥倫左 (50624607)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 佐野めぐみ (70834935)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 石毛和弘 (90272020)

# of Collaborated Projects: 1 results

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11. 川上竜樹 (20546147)

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12. 石渡哲哉 (50334917)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 岡部真也 (70435973)

# of Collaborated Projects: 1 results

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14. 宮本安人 (90374743)

# of Collaborated Projects: 1 results

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15. 山田澄生 (90396416)

# of Collaborated Projects: 1 results

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16. 白水徹也 (10282716)

# of Collaborated Projects: 1 results

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17. 服部広大 (30586087)

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18. 伊形尚久 (40711487)

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19. 儀我美一 (70144110)

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20. 小野寺有紹 (70614999)

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21. 安東正樹 (90313197)

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22. 塩谷隆

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# of Collaborated Products: 1 results

TAKATSU ASUKA 高津 飛鳥

ASUKA TAKATSU 高津 飛鳥

Research Projects

Research Products

Co-Researchers

Geometric studies of the Einstein equation via theoretical physics and gravitational astronomy

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Interpolation between Optimal transport and Information geometryPrincipal Investigator

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Study on curvatures from the viewpoint of new convexities and its application to geometric analysisPrincipal Investigator

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Geometry of optimal transport theory and gradient flows

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The influence of domains on the variational problems of critical type: global structures of solution spaces and the mechanism of the loss of compactness

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Systematical geometric analysis and asymptotic analysis for evolution equations

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Unified construction of geometric theory for information space and morphological information science

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Application of Optimal Transport and Information geometry to Metric Measure SpacesPrincipal Investigator

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Relation between measure concentration inequality and isoperimetric inequality under the curvature dimension conditionPrincipal Investigator

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[Book] 数学メモアール 第８巻 最適輸送理論とリッチ曲率2017

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[Journal Article] Spectral convergence of high-dimensional spheres to Gaussian spaces2023

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[Journal Article] Hierarchy of deformations in concavity2022

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[Journal Article] New characterizations of log-concavity via Dirichlet heat flow2022

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[Journal Article] Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains2022

TAKATSU ASUKA 高津飛鳥

ASUKA TAKATSU 高津飛鳥

[Book] 数学メモアール　第８巻最適輸送理論とリッチ曲率2017

[Journal Article] 書評　C. Villani: Optimal Transport-Old and New2015