26 citations · 59 across the 15 of their papers we have counts for
19 papers
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…
Sharp interface limit for a quasi-linear large deviation rate function
Takashi Kagaya, Kenkichi Tsunoda
We discuss the sharp interface limit, leading to a mean curvature flow energy, for the rate function of the large deviation principle of a Glauber+Kawasaki process with speed chang…
Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision
Patrick van Meurs, Kenkichi Tsunoda, Lu Xu
We establish the incompressible limit of weakly asymmetric simple exclusion processes coupled through particle collisions. The incompressible limit depends on various parameters in…
Large deviation principle for persistence diagrams of random cubical filtrations
Yasuaki Hiraoka, Shu Kanazawa, Jun Miyanaga +1
The objective of this article is to investigate the asymptotic behavior of the persistence diagrams of a random cubical filtration as the window size tends to infinity. Here, a ran…
Constant-speed interface flow from unbalanced Glauber-Kawasaki dynamics
Tadahisa Funaki, Patrick van Meurs, Sunder Sethuraman +1
We derive the hydrodynamic limit of Glauber-Kawasaki dynamics. The Kawasaki part is simple and describes independent movement of the particles with hard core exclusive interactions…
Motion by mean curvature from Glauber-Kawasaki dynamics with speed change
Tadahisa Funaki, Patrick van Meurs, Sunder Sethuraman +1
We derive a continuum mean-curvature flow as a certain hydrodynamic scaling limit of Glauber-Kawasaki dynamics with speed change. The Kawasaki part describes the movement of partic…
Exponentially slow mixing and hitting times of rare events for a reaction--diffusion model
Kenkichi Tsunoda
We consider the superposition of symmetric simple exclusion dynamics speeded-up in time, with spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We…
Glauber-Exclusion dynamics : rapid mixing regime
Ryokichi Tanaka, Kenkichi Tsunoda
We show that for any attractive Glauber-Exclusion process on the one-dimensional lattice of size with periodic boundary condition, if the corresponding hydrodynamic limit equat…
Derivation of viscous Burgers equations from weakly asymmetric exclusion processes
M. Jara, C. Landim, K. Tsunoda
We consider weakly asymmetric exclusion processes whose initial density profile is a small perturbation of a constant. We show that in the diffusive time-scale, in all dimensions,…
Hydrostatic limit for exclusion process with slow boundary revisited
Kenkichi Tsunoda
We revisit in this short article the hydrostatic limit for the exclusion process with slow boundary. The original proof of this result relies on estimates of the correlation functi…
Motion by mean curvature from Glauber-Kawasaki dynamics
Tadahisa Funaki, Kenkichi Tsunoda
We study the hydrodynamic scaling limit for the Glauber-Kawasaki dynamics. It is known that, if the Kawasaki part is speeded up in a diffusive space-time scaling, one can derive th…
Strong law of large numbers for Betti numbers in the thermodynamic regime
Akshay Goel, Khanh Duy Trinh, Kenkichi Tsunoda
We establish the strong law of large numbers for Betti numbers of random Čech complexes built on -valued binomial point processes and related Poisson point processes i…
Limit theorems for random cubical homology
Yasuaki Hiraoka, Kenkichi Tsunoda
This paper studies random cubical sets in . Given a cubical set , a random variable is assigned for each elementary cube in $…
Static large deviations for a reaction-diffusion model
Jonathan Farfan, Claudio Landim, Kenkichi Tsunoda
We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary condition…
Hydrostatics and dynamical large deviations for a reaction-diffusion model
Claudio Landim, Kenkichi Tsunoda
We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary condition…