10 citations · 16 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…