Speaker:   Yuhan Jiang (Harvard University)

Title:    The doubly asymmetric simple exclusion process

Abstract:   The multispecies ASEP (mASEP) is a Markov chain in which particles of different species hop on a one-dimensional lattice.  The doubly ASEP (DASEP) is like the mASEP, but it additionally allows spontaneous change of species. We will introduce two new Markov chains that the DASEP lumps to, which give relations between sums of steady state probabilities.  We also give explicit formulas for the stationary distribution of a particular infinite family.