Hydrodynamic Limit of the Symmetric Exclusion Process on a Compact Riemannian Manifold

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
24 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)75-116
Number of pages42
JournalJournal of Statistical Physics
Volume178 (2020)
Issue number1
DOIs
Publication statusPublished - 2019

Keywords

  • Compact Riemannian manifold
  • Hydrodynamic limit
  • Random grids
  • Symmetric exclusion process

Fingerprint

Dive into the research topics of 'Hydrodynamic Limit of the Symmetric Exclusion Process on a Compact Riemannian Manifold'. Together they form a unique fingerprint.

Cite this