
Wlodek Bryc
University of Cincinnati
Title
Open TASEP in steady state as the top marginal of a two-layer ensemble
Abstract
I will discuss the stationary measure for the Totally Asymmetric Simple Exclusion Process (TASEP) on a segment with open boundaries, represented as the top marginal of a two-layer measure. This two-layer representation facilitates the analysis of particle density (or height function) fluctuations for parameters near the so-called triple point, provides a concise proof of the large deviations principle, and yields asymptotic fluctuations around a random limit for parameters on the coexistence line.
The talk is based on papers with Yizao Wang, Joseph Najnudel and Pavel Zatitskii.