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Hydrodynamic limit of the symmetric exclusion process on complete Riemannian manifolds and principal bundles
We define the symmetric exclusion process (SEP) on random neighbourhood graphs drawn from Poisson point processes on complete connected Riemannian manifolds equipped with a Gibbs reference measure. We obtain diffusions with drift induced by the potential of the Gibbs measure as hydrodynamic limits. This is a consequence of the duality …