15 citations · 35 across the 10 of their papers we have counts for
10 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…
Stochastic quantization associated with the -quantum field model driven by space-time white noise on the torus in the full -regime
Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka
The present paper is a continuation of our previous work on the stochastic quantization of the -quantum field model on the two-dimensional torus. Making use of key prope…
Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus
Sergio Albeverio, Hiroshi Kawabi, Stefan-Radu Mihalache +1
We consider space-time quantum fields with exponential/trigonometric interactions. In the context of Euclidean quantum field theory, the former and the latter are called the Hoegh-…
Stochastic quantization associated with the -quantum field model driven by space-time white noise on the torus
Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka
We consider a quantum field model with exponential interactions on the two-dimensional torus, which is called the -quantum field model or Høegh-Krohn's model. In the…
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…
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…
Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions
Sergio Albeverio, Hiroshi Kawabi, Michael Röckner
We prove -uniqueness of Dirichlet operators for Gibbs measures on the path space associated with exponential type interactions in infinite volu…