Sayan Banerjee, University of North Carolina, Chapel Hill

DEM 126
I will talk about some models coming from Statistical Physics and Queueing Theory that give rise to singular reflected processes in their diffusion limit. Such diffusions are characterized by nonelliptic generators (which are not even hypoelliptic) in the interior, and ergodicity arises from nontrivial interactions between the diffusion, drift
Based on joint works with Chris Burdzy, Brendan Brown, Mauricio Duarte