Research Areas
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Natural Science / Geometry
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Natural Science / Geometry
Graduate School
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Keio University, Faculty of Science and Technology, Department of Mathematics
Doctor's Course, 1998, Completed
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Tohoku University, Graduate School, Division of Natural Science
Doctor's Course, 2004, Completed
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Tohoku University, Graduate School, Division of Natural Science
Doctor's Course, 2004, Completed
External Career
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Yamagata University, Associate Professor, 2012.04 -
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Yamagata University, Associate Professor, 2012.04 -
Academic Society Affiliations
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Mathematical Society of Japan
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Mathematical Society of Japan
Research Career
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Geometric structure controlling Sobolev-type inequalities and generalization to metric spaces, 2009.04 -
heat kernel Sobolev inequality Poincare inequality
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Geometric Analysis on spaces with bottleneck stracture, 2017.04 - 2022.03
bottleneck, manifold, graph, heat kernel, random walk, functional inequality
Papers
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CLT for random walks on nilpotent covering graphs with weak asymmetry (確率論シンポジウム), 数理解析研究所講究録, (2116) 10-19, 2019.07
石渡 聡, 河備 浩司, 難波 隆弥
Multiple Authorship (Only Japanese)
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A graph discretized approximation of semigroups for diffusion with drift and killing on a complete Riemannian manifold, Mathematische Annalen, 1-37, 2024.02
Satoshi Ishiwata, Hiroshi Kawabi
Multiple Authorship (Only Japanese)
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Poincare constant on manifolds with ends, Proceedings of the London Mathematical Society, 2023.04
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
Multiple Authorship (Including Foreigners)
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Geometric analysis on manifolds with ends, Advances in Analysis and Geometry, 3 325-343, 2021.01
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
Multiple Authorship (Including Foreigners)
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Heat kernel estimates on connected sums of parabolic manifolds, Journal de Mathematiques Pures et Appliquees, 113 155-194, 2018.05
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
Multiple Authorship (Including Foreigners)
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Can one observe a bottleneckness of a space from the heat distribution?, Science Journal of Volgograd State University Mathematical Physics and Computer Simulation, 20(3) 77-88, 2017.07
Satoshi Ishiwata
Single Author
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Central limit theorems for non-symmetric random walks on nilpotent covering graphs, 数理解析研究所講究録, 2030 9-16, 2017.05
石渡 聡, 河備 浩司, 難波隆弥
Multiple Authorship (Including Foreigners)
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Long time asymptotics of non-symmetric random walks on crystal lattices, Journal of Functional, Journal of Functional Analysis, 272(4) 1553-1624, 2017.02
Satoshi Ishiwata, Hiroshi Kawabi, Motoko Kotani
Multiple Authorship (Including Foreigners)
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Central limit theorem for non-symmetric random walks on crystal lattices, RIMS kokyuroku, 1952 30-37, 2015.06
Satoshi Ishiwata, Hiroshi Kawabi, Motoko Kotani
Multiple Authorship (Only Japanese)
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An explicit effect of non-symmetry of random walks on the triangular lattice, Mathematical Journal of Okayama University, 57 129-148, 2015.01
Satoshi Ishiwata, Hiroshi Kawabi, Tsubasa Teruya
Multiple Authorship (Including Foreigners)
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Heat kernel estimates on a connected sum of two copies of Rn along a surface of revolution, Global and Stochastic Analysis, 2(1) 29-65, 2012.06
Alexander Grigor'yan, Satoshi Ishiwata
Multiple Authorship (Including Foreigners)
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A central limit theorem on modified graphs of nilpotent covering graphs, Contemporary mathematics, 484 59-72, 2009.03
S. Ishiwata
Single Author
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Gradient estimate of the heat kernel on modified graphs, Potential analysis, 27(4) 335-351, 2007.12
S. Ishiwata
Single Author
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Discrete version of Dungey's proof for the gradient heat kernel estimate on coverings, Annales Mathématiques Blaise Pascal , 14(1) 93-102, 2007.01
S. Ishiwata
Single Author
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A Berry-Esseen type theorem on nilpotent covering graphs, Canadian Journal of Mathematics, 56(5) 963-982, 2004.10
S. Ishiwata
Single Author
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Asymptotic behavior of a transition probability for a random walk on a nilpotent covering graph, Contemporary Mathematics, 347 57-68, 2004.03
S. Ishiwata
Single Author
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A central limit theorem on a covering graph with a transformation group of polynomial growth, Journal of the Mathematical Society of Japan, 55(3) 837-853, 2003.12
S. Ishiwata
Single Author
Grant-in-Aid for Scientific Research
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Grant-in-Aid for Scientific Research(S),2023.04 - 2024.03
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Grant-in-Aid for Scientific Research(C),2023.04 - 2024.03
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Grant-in-Aid for Scientific Research(C),2022.04 - 2027.03
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Grant-in-Aid for Scientific Research(C),2020.04 - 2023.03
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Grant-in-Aid for Scientific Research(B),2018.04 - 2021.03
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Grant-in-Aid for Scientific Research(C),2018.04 - 2020.03
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Grant-in-Aid for Scientific Research(C),2017.04 - 2022.03,Geometric Analysis on spaces with bottleneck stracture
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Grant-in-Aid for Scientific Research(C),2017.04 - 2022.03
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Grant-in-Aid for Young Scientists(B),2013.04 - 2017.03
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Grant-in-Aid for Young Scientists(B),2009.04 - 2013.03
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Grant-in-Aid for Young Scientists(B),2006.04 - 2008.03