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math.PR2026
Non-equilibrium fluctuations of gradient exclusion processes in dimension
Claudio Landim, Sunder Sethuraman
We consider a gradient, speed-change, symmetric exclusion process on the discrete torus , , whose empirical measure evolves, on the diffusive scale, according to a n…
math.PR2025
Singular diffusion limit of a tagged particle in zero range processes with Sinai-type random environment
Marcel Hudiani, Claudio Landim, Sunder Sethuraman
We derive a singular diffusion limit for the position of a tagged particle in zero range interacting particle processes on a one dimensional torus with a Sinai-type random environm…
math.PR2024
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…