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math.PR2026
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…
math.PR2020
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-…
math.PR2012
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…