On ASEP with Step Bernoulli Initial Condition

Details On ASEP with Step Bernoulli Initial Condition On ASEP with Step Bernoulli Initial Condition

2009-07-29

arxiv.org/abs/0907.5192v2

Journal of Statistical Physics 137 (2009), 825-838.

Mathematics

Probability

16 pages. Revised version adds references and expands the introduction

Scientific paper

10.1007/s10955-009-9867-1

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.)

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