26 citations · 59 across the 15 of their papers we have counts for
5 papers · 1 filter
Large deviations for additive functionals of one-dimensional zero-range processes
Insuk Seo, Kenkichi Tsunoda
We prove a large deviation principle for additive functionals of local Lipschitz functions of a one-dimensional symmetric zero-range process on the diffusive scale. The rate functi…
Moderate deviations and laws of the iterated logarithm for geometric functionals in the sparse regime
Yudai Sakihara, Kenkichi Tsunoda
We prove moderate deviation principles and laws of the iterated logarithm in the sparse regime for geometric and topological functionals associated with -point connected compone…
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…
Critical stationary fluctuations in reaction--diffusion processes
Luis Cardoso, Claudio Landim, Kenkichi Tsunoda
We study stationary fluctuations at criticality for a one-dimensional reaction--diffusion process combining symmetric simple exclusion dynamics with Glauber-type spin flips. The st…
Hydrodynamic limit for Glauber-Kawasaki dynamics on the Sierpiński gasket
Patrick van Meurs, Kenkichi Tsunoda
We prove the hydrodynamic limit for Glauber-Kawasaki dynamics on the Sierpiński gasket, a prototypical fractal graph that lacks translational invariance. The main novelty lies in i…