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math.PR2024
Hydrodynamic limit of the symmetric exclusion process on complete Riemannian manifolds and principal bundles
Jonathan Junné, Frank Redig, Rik Versendaal
We prove that the hydrodynamic limit of the symmetric exclusion process (SEP) is a Fokker-Planck equation in the setting of Poisson random neighborhood graphs approximating a weigh…
math.PR2023
Invariance principle for Lifts of Geodesic Random Walks
Jonathan Junné, Frank Redig, Rik Versendaal
We consider a certain class of Riemannian submersions and study lifted geodesic random walks from the base manifold to the total manifold . Under appropriate co…