On asymmetric simple exclusion process with periodic step Bernoulli initial condition

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. C © 2011 American Institute of Physics. [doi:10.1063/1.3552139]