10 citations · 16 across the 8 of their papers we have counts for
9 papers
Hydrodynamic limit of exclusion processes with killing on weighted Riemannian manifolds via a graph discretization
Satoshi Ishiwata, Hiroshi Kawabi, Kenkichi Tsunoda
In the present paper, we consider an exclusion process with killing on a proximity graph constructed from a partition of a geodesically complete weighted Riemannian manifold. We ri…
A graph discretized approximation of semigroups for diffusion with drift and killing on a complete Riemannian manifold
Satoshi Ishiwata, Hiroshi Kawabi
In the present paper, we prove that the -semigroup generated by a Schrödinger operator with drift on a complete Riemannian manifold is approximated by the discrete semigroup…
Poincaré constant on manifolds with ends
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
We obtain optimal estimates of the Poincaré constant of central balls on manifolds with finitely many ends. Surprisingly enough, the Poincaré constant is determined by the second l…
Geometric analysis on manifolds with ends
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
In this survey article, we discuss some recent progress on geometric analysis on manifold with ends. In the final section, we construct manifolds with ends with oscillating volume…
Central limit theorems for non-symmetric random walks on nilpotent covering graphs: Part II
Satoshi Ishiwata, Hiroshi Kawabi, Ryuya Namba
In the present paper, as a continuation of our preceding paper [10], we study another kind of central limit theorems (CLTs) for non-symmetric random walks on nilpotent covering gra…
Central limit theorems for non-symmetric random walks on nilpotent covering graphs: Part I
Satoshi Ishiwata, Hiroshi Kawabi, Ryuya Namba
In the present paper, we study central limit theorems (CLTs) for non-symmetric random walks on nilpotent covering graphs from a point of view of discrete geometric analysis develop…
Heat kernel estimates on connected sums of parabolic manifolds
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
We obtain matching two sided estimates of the heat kernel on a connected sum of parabolic manifolds, each of them satisfying the Li-Yau estimate. The key result is the on-diagonal…
Long time asymptotics of non-symmetric random walks on crystal lattices
Satoshi Ishiwata, Hiroshi Kawabi, Motoko Kotani
In the present paper, we study long time asymptotics of non-symmetric random walks on crystal lattices from a view point of discrete geometric analysis due to Kotani and Sunada [11…
An explicit effect of non-symmetry of random walks on the triangular lattice
Satoshi Ishiwata, Hiroshi Kawabi, Tsubasa Teruya
In the present paper, we study an explicit effect of non-symmetry on asymptotics of the -step transition probability as for a class of non-symmetric random…