Formulas for ASEP with Two-Sided Bernoulli Initial Condition
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Formulas for ASEP with Two-Sided Bernoulli Initial Condition

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

Published Web Location

https://arxiv.org/pdf/1001.4766.pdf
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Abstract

For the asymmetric simple exclusion process on the integer lattice with two-sided Bernoulli initial condition, we derive exact formulas for the following quantities: (1) the probability that site x is occupied at time t; (2) a correlation function, the probability that site 0 is occupied at time 0 and site x is occupied at time t; (3) the distribution function for the total flux across 0 at time t and its exponential generating function.

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