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arXiv · 1009.1863

On ASEP with Periodic Step Bernoulli Initial Condition

Craig A. Tracy·Harold Widom
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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.

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Craig A. Tracy, Harold Widom. 2010-09-21. On ASEP with Periodic Step Bernoulli Initial Condition. https://doi.org/10.1063/1.3552139

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