Orateur
Ellen Saada
(MAP5, CNRS-Université Paris Cité)
Description
We consider the simple exclusion process on $\mathbb{Z}\times\{0,1\}$, that is, a “horizontal ladder” composed of 2 lanes, depending on 6 parameters. Particles can jump according to a lane-dependent translation-invariant nearest neighbour jump kernel, i.e. “horizontally” along each lane, and “vertically” along the scales of the ladder. We investigate the extremal invariant measures, then the hydrodynamic behavior and local equilibrium of this model. We highlight new phenomena arising beyond the one-dimensional exclusion dynamics.
Joint works with Gidi Amir, Christophe Bahadoran, Ofer Busani.
