On ASEP with Periodic Step Bernoulli Initial Condition
- Author(s): Tracy, Craig A.
- Widom, Harold
- et al.
Published Web Locationhttps://arxiv.org/pdf/1009.1863.pdf
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.