22 citations · 91 across the 23 of their papers we have counts for
25 papers
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…
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…
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…
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…
Motion of sharp interface of Allen-Cahn equation with anisotropic nonlinear diffusion
Tadahisa Funaki, Hyunjoon Park
We consider the Allen-Cahn equation with nonlinear anisotropic diffusion and derive anisotropic direction-dependent curvature flow under the sharp interface limit. The anisotropic…
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…
Schauder estimate for quasilinear discrete PDEs of parabolic type
Tadahisa Funaki, Sunder Sethuraman
We investigate quasilinear discrete PDEs of reaction-diffusion type with nonlinear diffusion term defined on an -dimensional unit torus discreti…
Singular limit of an Allen-Cahn equation with nonlinear diffusion
Perla El Kettani, Tadahisa Funaki, Danielle Hilhorst +2
We consider an Allen-Cahn equation with nonlinear diffusion, motivated by the study of the scaling limit of certain interacting particle systems. We investigate its singular limit…
Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs
Tadahisa Funaki, Bin Xie
We consider singular quasilinear stochastic partial differential equations (SPDEs) studied in \cite{FHSX}, which are defined in paracontrolled sense. The main aim of the present ar…
Asymptotics of PDE in random environment by paracontrolled calculus
Tadahisa Funaki, Masato Hoshino, Sunder Sethuraman +1
We apply the paracontrolled calculus to study the asymptotic behavior of a certain quasilinear PDE with smeared mild noise, which originally appears as the space-time scaling limit…
Mean curvature interface limit from Glauber+Zero-range interacting particles
Perla El Kettani, Tadahisa Funaki, Danielle Hilhorst +2
We derive a continuum mean-curvature flow as a certain hydrodynamic scaling limit of a class of Glauber+Zero-range particle systems. The Zero-range part moves particles while prese…
Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes
Cedric Bernardin, Tadahisa Funaki, Sunder Sethuraman
We consider the fluctuation fields of multi-species weakly-asymmetric zero-range interacting particle systems in one dimension, where the mass density of each species is conserved.…
Fast-reaction limit for Glauber-Kawasaki dynamics with two components
Anna De Masi, Tadahisa Funaki, Errico Presutti +1
We consider the Kawasaki dynamics of two types of particles under a killing effect on a -dimensional square lattice. Particles move with possibly different jump rates depending…
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…
A coupled KPZ equation, its two types of approximations and existence of global solutions
Tadahisa Funaki, Masato Hoshino
This paper concerns the multi-component coupled Kardar-Parisi-Zhang (KPZ) equation and its two types of approximations. One approximation is obtained as a simple replacement of the…
Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation
Tadahisa Funaki, Satoshi Yokoyama
This paper studies the sharp interface limit for a mass conserving Allen-Cahn equation added an external noise and derives a stochastically perturbed mass conserving mean curvature…
KPZ equation, its renormalization and invariant measures
Tadahisa Funaki, Jeremy Quastel
The Kardar-Parisi-Zhang (KPZ) equation is a stochastic partial differential equation which is ill-posed because the nonlinearity is marginally defined with respect to the roughness…
Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates
Erwin Bolthausen, Taizo Chiyonobu, Tadahisa Funaki
We study the scaling limit and prove the law of large numbers for weakly pinned Gaussian random fields under the critical situation that two possible candidates of the limits exist…
Fluctuations in an Evolutional Model of Two-Dimensional Young Diagrams
Tadahisa Funaki, Makiko Sasada, Martin Sauer +1
We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established in \cite{FS}, for the dynamics of two-dimensional Young diagrams associa…
Equivalence of ensembles under inhomogeneous conditioning and its applications to random Young diagrams
Tadahisa Funaki
We prove the equivalence of ensembles for Bernoulli measures on conditioned on two conserved quantities under the situation that one of them is spatially inhomogeneous…
Hydrodynamic limit for an evolutional model of two-dimensional Young diagrams
Tadahisa Funaki, Makiko Sasada
We construct dynamics of two-dimensional Young diagrams, which are naturally associated with their grandcanonical ensembles, by allowing the creation and annihilation of unit squar…
Zero temperature limit for interacting Brownian particles. II. Coagulation in one dimension
Tadahisa Funaki
We study the zero temperature limit for interacting Brownian particles in one dimension with a pairwise potential which is of finite range and attains a unique minimum when the dis…