Hydrodynamic limit of the Symmetric Exclusion Process on a compact Riemannian manifold
Probability
2020-01-08 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We consider the symmetric exclusion process on suitable random grids that approximate a compact Riemannian manifold. We prove that a class of random walks on these random grids converge to Brownian motion on the manifold. We then consider the empirical density field of the symmetric exclusion process and prove that it converges to the solution of the heat equation on the manifold.
Keywords
Cite
@article{arxiv.1812.07286,
title = {Hydrodynamic limit of the Symmetric Exclusion Process on a compact Riemannian manifold},
author = {Bart van Ginkel and Frank Redig},
journal= {arXiv preprint arXiv:1812.07286},
year = {2020}
}
Comments
34 pages. Minor changes