On ASEP with Step Bernoulli Initial Condition

Understand

This paper extends results of earlier work on ASEP to the case of step Bernoulli initial condition.

• The main results are a representation in terms of a Fredholm determinant for the probability distribution of a fixed particle, and asymptotic results which in particular establish KPZ universality for this probability in one regime.
• (And, as a corollary, for the current fluctuations.)