On ASEP with Periodic Step Bernoulli Initial Condition
Probability
2011-02-23 v2 Mathematical Physics
math.MP
Abstract
We consider the asymmetric simple exclusion process (ASEP) on the integers in which the initial density at a site (the probability that it is occupied) is given by a periodic function on the positive integers. (When the function is constant this is the step Bernoulli initial condition.) Starting with a result in earlier work we find a formula for the probability distribution for a given particle at a given time which is a sum over positive integers k of integrals of order k.
Cite
@article{arxiv.1009.1863,
title = {On ASEP with Periodic Step Bernoulli Initial Condition},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:1009.1863},
year = {2011}
}
Comments
8 pages. In version 2 the proof of the main result is simplified, and another one is obtained in the process