Aarhus Universitets segl

The symmetric exclusion process on complete Riemannian manifold

Jonathan Junné
Onsdag 19. marts 2025 14:00–15:00 G32
Stochastics seminar

We introduce the Symmetric Exclusion Process (SEP) on a sequence of proximity graphs drawn from Poisson point processes (PPP) with Gibbs intensity. As the intensity of the (PPP) increases, the empirical density of the (SEP) evolves according to a diffusion on the manifold whose drift is induced by the choice of potential for the Gibbs measure; this is the hydrodamic limit. We also lift the sequence of proximity graphs to principal bundles and deduce horizontal diffusions as hydrodynamic limits. This is a joint work with Frank Redig and Rik Versendaal.

Kontakt: Fabrice Baudoin Revideret: 11.03.2025