On ASEP with Periodic Step Bernoulli Initial Condition

Details On ASEP with Periodic Step Bernoulli Initial Condition On ASEP with Periodic Step Bernoulli Initial Condition

2010-09-09

arxiv.org/abs/1009.1863v2

Journal of Mathematical Physics 52, 023303 (2011)

Mathematics

Probability

8 pages. In version 2 the proof of the main result is simplified, and another one is obtained in the process

Scientific paper

10.1063/1.3552139

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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