Rchr
J-GLOBAL ID：201401030374680921
Update date: Jul. 17, 2024
Ohta Shin-ichi
オオタ シンイチ | Ohta Shin-ichi
Affiliation and department：
Job title：
Professor
Other affiliations (1)：
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RIKEN Center for Advanced Intelligence Project
Mathematical Science Team
Visiting Researcher
Homepage URL (1)：
http://www4.math.sci.osaka-u.ac.jp/~sohta/
Research field (1)：
Geometry
Research theme for competitive and other funds (18)：
- 2024 - 2029 New developments in gradient flow theory on metric spaces
- 2024 - 2027 最適輸送理論の深化-数理情報の融合研究-
- 2022 - 2027 Analysis on metric measure spaces by optimal transport theory and Markov processes
- 2019 - 2024 Geometry of optimal transport theory and gradient flows
- 2017 - 2022 Geometry and analysis on metric measure spaces based on the theory of Markov processes and optimal mass transport
- 2015 - 2019 Comparison geometry of Finsler manifolds and gradient flows
- 2014 - 2019 New development of Lipschitz structure/collapsing theory of Alexandrov spaces and inverse spectral problem
- 2014 - 2017 Relation between algebra, geometry and analysis on fractals
- 2014 - 2016 Gradient flows in metric spaces and their applications
- 2011 - 2015 Geometry of metric measure spaces and optimal transport theory
- 2010 - 2014 Probabilistic approach to analysis and geometry on metric measure spaces
- 2009 - 2012 Geometric properties on the threshold of the Sobolev type inequalities and generalization to metric spaces
- 2008 - 2011 Geometry of the space of probability measures and its applications
- 2011 - 2011 非線形方程式のモジュライ空間の幾何学的応用
- 2009 - 2011 New development of infinite dimensional stochastic analysis and its applications
- 2006 - 2010 New development of geometry based on topological field theory
- 2004 - 2006 Harmonic functions on metric spaces
- 2003 - 2004 距離空間の間の写像とソボレフ空間
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Papers (47)：
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Shin-ichi Ohta. Barycenters and a law of large numbers in Gromov hyperbolic spaces. Revista Matemática Iberoamericana. 2024. 40. 3. 1185-1206
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Mathias Braun, Shin-ichi Ohta. Optimal transport and timelike lower Ricci curvature bounds on Finsler spacetimes. Transactions of the American Mathematical Society. 2024. 377. 3529-3576
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Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta. Geometry of weighted Lorentz-Finsler manifolds II: A splitting theorem. International Journal of Mathematics. 2023. 34. 01
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Cong Hung Mai, Shin-ichi Ohta. Quantitative estimates for the Bakry-Ledoux isoperimetric inequality II. Bulletin of the London Mathematical Society. 2023. 55. 1. 224-233
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Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta. Comparison theorems on weighted Finsler manifolds and spacetimes with ε-range. Analysis and Geometry in Metric Spaces. 2022. 10. 1. 1-30
ｍore...
MISC (6)：
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Shin-ichi Ohta. Nonlinear geometric analysis on Finsler manifolds. European Journal of Mathematics. 2017. 3. 4. 916-952
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Shin-Ichi Ohta. Ricci curvature, entropy, and optimal transport. London Mathematical Society Lecture Note Series. 2014. 413. 145-199
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Ohta Shin-ichi. Curvature-dimension condition and heat flow on metric measure spaces (Progress in Variational Problems : Variational Problems Interacting with Probability Theories). RIMS Kokyuroku. 2013. 1837. 44-51
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Ohta Shin-ichi. Geometric analysis on Finsler manifolds. SUGAKU. 2012. 64. 4. 337-356
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Ohta Shin-ichi. On the geometry of the space of probability measures. Tokyo Sugaku Kaisya Zasshi. 2011. 63. 1. 21-42
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Books (2)：
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Comparison Finsler Geometry
Springer 2021 ISBN:9783030806491
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最適輸送理論とリッチ曲率(数学メモアール第8巻)
日本数学会 2017
Education (2)：
- 2001 - 2003 Tohoku University Graduate School of Science Doctor Course
- 1999 - 2001 Tohoku University Graduate School of Science Master Course
Professional career (2)：
- Doctor of Science (Tohoku University)
- Master of Science (Tohoku University)
Work history (5)：
- 2022/04 - 現在 RIKEN Center for Advanced Intelligence Project Mathematical Science Team Visiting Researcher
- 2017/04 - 現在 Osaka University Department of Mathematics, Graduate School of Science Professor
- 2017/10 - 2022/03 RIKEN Center for Advanced Intelligence Project Mathematical Analysis Team Team Leader
- 2009/10 - 2017/03 Kyoto University Department of Mathematics, Graduate School of Science Associate Professor
- 2003/10 - 2009/09 Kyoto University Department of Mathematics, Graduate School of Science Assistant Professor
Awards (5)：
- 2014/02 - Japan Society for the Promotion of Science JSPS Prize Geometric analysis on metric measure spaces
- 2012/04 - MEXT, Japan Young Scientists' Prize Geometric analysis on metric spaces
- 2012/03 - The Mathematical Society of Japan Spring Prize Geometric analysis on metric measure spaces and Finsler manifolds
- 2011/09 - The Mathematical Society of Japan Geometry Prize Geometric analysis on Finsler manifolds
- 2005/09 - The Mathematical Society of Japan Takebe Prize Geometry and analysis on metric spaces
Association Membership(s) (1)：
The Mathematical Society of Japan
