6 papers
Quantitative homogenization and hydrodynamic limit of non-gradient exclusion process
Tadahisa Funaki, Chenlin Gu, Han Wang
For the non-gradient exclusion process, we prove the quantitative homogenization of the diffusion matrix and the conductivity by local functions. The proof relies on the renormaliz…
-Boltzmann-Gibbs principle via Littlewood-Paley-Stein inequality
Tadahisa Funaki
In this paper, we establish the Boltzmann-Gibbs principle in the sense by applying the Littlewood-Paley-Stein inequality. Our model is an asymmetric Ginzburg-Landau interface…
Coupled KPZ equations and their decoupleability
Boliang Fu, Tadahisa Funaki, Sunder Sethuraman +1
We discuss characterizations of the decoupleability, partial and full, of trilinear or completely symmetric real tensors, which inform on the structure of certa…
Interface motion from Glauber-Kawasaki dynamics of non-gradient type
Tadahisa Funaki
We consider the Glauber-Kawasaki dynamics on a -dimensional periodic lattice of size , that is, a stochastic time evolution of particles performing random walks with interact…
Linear fluctuation of interfaces in Glauber-Kawasaki dynamics
Tadahisa Funaki, Claudio Landim, Sunder Sethuraman
In this article, we find a scaling limit of the space-time mass fluctuation field of Glauber + Kawasaki particle dynamics around its hydrodynamic mean curvature interface limit. He…
Stochastic PDE approach to fluctuating interfaces
Tadahisa Funaki
We propose a new type of SPDEs, singular or with regularized noises, motivated by a study of the fluctuation of the density field in a microscopic interacting particle system. They…