Cutoff profile of ASEP on a segment

Abstract: The mixing behavior of the Asymmetric Simple Exclusion Process (=ASEP) on a segment will be discussed. We will show that its cutoff profile is given by the Tracy-Widom distribution function, which extends earlier results of Labbe-Lacoin and Benjamini-Berger-Hoffman-Mossel. We will also discuss a multi-species version of this model (also known as a biased card shuffling or an oriented swap process). The talk is based on joint works with P. Nejjar and with V. Gorin, D. Romik.

mathematical physicsprobability

Audience: researchers in the topic

Probability and the City Seminar

Series comments: The Probability and the City Seminar is organized jointly by the probability groups of Columbia University and New York University.

Video recordings of talks are posted online at www.youtube.com/channel/UC0CXjG-ZSIZHy0S40Px2FEQ .