Kick-off event: AI and the future of mathematics and physics - 21.10.2026
In light of recent developments, the incoming kick-off event at the Institut Henri Poincaré will take the form of a debate gathering mathematicians and theoretical physicists around the role of AI in the practice of research. Registration: indico.math.cnrs.fr/event/17376/.
The two-lane exclusion process
byEllen Saada
Abstract: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.