Print Email Facebook Twitter Hydrodynamic Limit of the Symmetric Exclusion Process on a Compact Riemannian Manifold Title Hydrodynamic Limit of the Symmetric Exclusion Process on a Compact Riemannian Manifold Author van Ginkel, G.J. (TU Delft Applied Probability) Redig, F.H.J. (TU Delft Applied Probability) Date 2019 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. Subject Compact Riemannian manifoldHydrodynamic limitRandom gridsSymmetric exclusion process To reference this document use: http://resolver.tudelft.nl/uuid:5345e6db-8da0-4343-bf6a-75a3705a3418 DOI https://doi.org/10.1007/s10955-019-02420-2 ISSN 0022-4715 Source Journal of Statistical Physics, 178 (2020) (1), 75-116 Part of collection Institutional Repository Document type journal article Rights © 2019 G.J. van Ginkel, F.H.J. Redig Files PDF Ginkel_Redig2020_Article_ ... mmetri.pdf 791.25 KB Close viewer /islandora/object/uuid:5345e6db-8da0-4343-bf6a-75a3705a3418/datastream/OBJ/view