Research keywords (4):
Discrete geometric analysis
, 確率論と幾何学
, Probability and geometry
, Discrete geometric analysis
Research theme for competitive and other funds (2):
2006 - 2008 熱核のGradientのGauss型評価に伴う空間の幾何学的性質の研究
2006 - 2008 Geometric properties which affect the gradient heat kernel estimates
Papers (10):
Satoshi Ishiwata, Hiroshi Kawabi. A graph discretized approximation of semigroups for diffusion with drift and killing on a complete Riemannian manifold. Mathematische Annalen. 2024. 1-37
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste. Poincare constant on manifolds with ends. Proceedings of the London Mathematical Society. 2023
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste. Geometric analysis on manifolds with ends. Advances in Analysis and Geometry. 2021. 3. 325-343
石渡 聡, 河備 浩司, 難波 隆弥. 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. 2019. 2116. 10-19
石渡 聡, 河備 浩司, 難波 隆弥. 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. 2019. 2116. 10-19
Satoshi Ishiwata, Hiroshi Kawabi, Ryuya Namba. Central limit theorems for non-symmetric random walks on nilpotent covering graphs: Part II. 2020. 55. 1. 127-166
Satoshi Ishiwata, Hiroshi Kawabi, Ryuya Namba. Central limit theorems for non-symmetric random walks on nilpotent covering graphs: Part I. 2020. 25. 9-16
Satoshi Ishiwata, Hiroshi Kawabi, Motoko Kotani. Long time asymptotics of non-symmetric random walks on crystal lattices. 2017. 272. 4. 1553-1624
Satoshi Ishiwata, Hiroshi Kawabi, Tsubasa Teruya. An explicit effect of non-symmetry of random walks on the triangular lattice. 2015. 57. 129-148