11 citations · 11 across the 4 of their papers we have counts for
7 papers
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…
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…
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…