Speaker: S. R. S. Varadhan, Courant Institute
January 2, 2024 02:30 PM
- 03:30 PM
Abstract:
We consider simple exclusion process in 1 dimension. They start from equilibrium, i.e. Bernoulli measure with density 0 < ρ < 1 conditioned to have a particle at 0 which is tagged. The motion is nearest neighbor with exponential waiting times. The jumps to the right has probability p and to the left q = 1−p. We assume that 1 ≥ p > q ≥ 0. p = 1, q = 0 is TASEP and if q > 0 it ASEP. We study the motion of the tagged particle and try to understand its large deviation behavior.