UC Davis

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.