Random forests and fermionic field theories
Kick-off event on Wed 29.10.25 at Institut Henri Poincaré. Inscriptions: link indico
The seminars at IHES will take place on the following Wednesdays: 12.11, 26.11 and 10.12, see program
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.
All talks Fall '25: random forests and fermionic field theories