Approximation of the stationary distribution of open ASEP
报告人：Dominik Schmid（University of Bonn）
时间：2024-02-26 14:00-15:00
地点：智华楼四元厅
Abstract:
The exclusion process is one of the best-studied examples of an interacting particle system. In this talk, we consider the stationary distribution of asymmetric simple exclusion processes with open boundaries. We project the stationary distribution onto a subinterval, whose size is allowed to grow with the length of the underlying segment. Depending on the boundary parameters for the exclusion process, we provide sufficient conditions such that the projected stationary distribution is close in total variation distance to a product measure. This talk is based on joint work with Evita Nestoridi.
Speaker:
Dominik Schmid is currently a PostDoc at the University of Bonn. In 2021, he completed his Ph.D. advised by Nina Gantert at the Technical University of Munich, where he also previously obtained his Bachelor's and Master's Degree. Following his doctoral studies, he held a postdoctoral position at Princeton University from October 2021 to September 2022. Schmid's research mainly focuses on probability theory, in particular mixing times for Markov chains, limit theorems for interacting particle systems, and stochastic processes in random media.
