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## On ASEP with Periodic Step Bernoulli Initial Condition

- Author(s): Tracy, Craig A.
- Widom, Harold
- et al.

## Published Web Location

https://arxiv.org/pdf/1009.1863.pdfNo data is associated with this publication.

## 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.