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.
Abstract

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

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