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

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

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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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