Research Areas

Natural Science / Geometry

Natural Science / Geometry
Graduate School

Keio University, Faculty of Science and Technology, Department of Mathematics
Doctor's Course, 1998, Completed

Tohoku University, Graduate School, Division of Natural Science
Doctor's Course, 2004, Completed

Tohoku University, Graduate School, Division of Natural Science
Doctor's Course, 2004, Completed
External Career

Yamagata University, Associate Professor, 2012.04 

Yamagata University, Associate Professor, 2012.04 
Academic Society Affiliations

Mathematical Society of Japan

Mathematical Society of Japan
Research Career

Geometric structure controlling Sobolevtype inequalities and generalization to metric spaces, 2009.04 
heat kernel Sobolev inequality Poincare inequality

Geometric Analysis on spaces with bottleneck stracture, 2017.04  2022.03
bottleneck, manifold, graph, heat kernel, random walk, functional inequality
Papers

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) 1019, 2019.07
石渡 聡, 河備 浩司, 難波 隆弥
Multiple Authorship (Only Japanese)

A graph discretized approximation of semigroups for diffusion with drift and killing on a complete Riemannian manifold, Mathematische Annalen, 137, 2024.02
Satoshi Ishiwata, Hiroshi Kawabi
Multiple Authorship (Only Japanese)

Poincare constant on manifolds with ends, Proceedings of the London Mathematical Society, 2023.04
Alexander Grigor'yan, Satoshi Ishiwata, Laurent SaloffCoste
Multiple Authorship (Including Foreigners)

Geometric analysis on manifolds with ends, Advances in Analysis and Geometry, 3 325343, 2021.01
Alexander Grigor'yan, Satoshi Ishiwata, Laurent SaloffCoste
Multiple Authorship (Including Foreigners)

Heat kernel estimates on connected sums of parabolic manifolds, Journal de Mathematiques Pures et Appliquees, 113 155194, 2018.05
Alexander Grigor'yan, Satoshi Ishiwata, Laurent SaloffCoste
Multiple Authorship (Including Foreigners)

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) 7788, 2017.07
Satoshi Ishiwata
Single Author

Central limit theorems for nonsymmetric random walks on nilpotent covering graphs, 数理解析研究所講究録, 2030 916, 2017.05
石渡 聡, 河備 浩司, 難波隆弥
Multiple Authorship (Including Foreigners)

Long time asymptotics of nonsymmetric random walks on crystal lattices, Journal of Functional, Journal of Functional Analysis, 272(4) 15531624, 2017.02
Satoshi Ishiwata, Hiroshi Kawabi, Motoko Kotani
Multiple Authorship (Including Foreigners)

Central limit theorem for nonsymmetric random walks on crystal lattices, RIMS kokyuroku, 1952 3037, 2015.06
Satoshi Ishiwata, Hiroshi Kawabi, Motoko Kotani
Multiple Authorship (Only Japanese)

An explicit effect of nonsymmetry of random walks on the triangular lattice, Mathematical Journal of Okayama University, 57 129148, 2015.01
Satoshi Ishiwata, Hiroshi Kawabi, Tsubasa Teruya
Multiple Authorship (Including Foreigners)

Heat kernel estimates on a connected sum of two copies of Rn along a surface of revolution, Global and Stochastic Analysis, 2(1) 2965, 2012.06
Alexander Grigor'yan, Satoshi Ishiwata
Multiple Authorship (Including Foreigners)

A central limit theorem on modified graphs of nilpotent covering graphs, Contemporary mathematics, 484 5972, 2009.03
S. Ishiwata
Single Author

Gradient estimate of the heat kernel on modified graphs, Potential analysis, 27(4) 335351, 2007.12
S. Ishiwata
Single Author

Discrete version of Dungey's proof for the gradient heat kernel estimate on coverings, Annales Mathématiques Blaise Pascal , 14(1) 93102, 2007.01
S. Ishiwata
Single Author

A BerryEsseen type theorem on nilpotent covering graphs, Canadian Journal of Mathematics, 56(5) 963982, 2004.10
S. Ishiwata
Single Author

Asymptotic behavior of a transition probability for a random walk on a nilpotent covering graph, Contemporary Mathematics, 347 5768, 2004.03
S. Ishiwata
Single Author

A central limit theorem on a covering graph with a transformation group of polynomial growth, Journal of the Mathematical Society of Japan, 55(3) 837853, 2003.12
S. Ishiwata
Single Author
GrantinAid for Scientific Research

GrantinAid for Scientific Research(C)，2023.04  2024.03

GrantinAid for Scientific Research(S)，2023.04  2024.03

GrantinAid for Scientific Research(C)，2022.04  2027.03

GrantinAid for Scientific Research(C)，2020.04  2023.03

GrantinAid for Scientific Research(B)，2018.04  2021.03

GrantinAid for Scientific Research(C)，2018.04  2020.03

GrantinAid for Scientific Research(C)，2017.04  2022.03，Geometric Analysis on spaces with bottleneck stracture

GrantinAid for Scientific Research(C)，2017.04  2022.03

GrantinAid for Young Scientists(B)，2013.04  2017.03

GrantinAid for Young Scientists(B)，2009.04  2013.03

GrantinAid for Young Scientists(B)，2006.04  2008.03