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We consider the asymmetric simple exclusion process (ASEP) on the integers inwhich the initial density at a site (the probability that it is occupied) isgiven by a periodic function on the positive integers. (When the function isconstant this is the step Bernoulli initial condition.) Starting with a resultin earlier work we find a formula for the probability distribution for a givenparticle at a given time which is a sum over positive integers k of integralsof order k.

On ASEP with Periodic Step Bernoulli Initial Condition