On ASEP with Step Bernoulli Initial Condition
Probability
2009-12-16 v2 Mathematical Physics
math.MP
Abstract
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.)
Keywords
Cite
@article{arxiv.0907.5192,
title = {On ASEP with Step Bernoulli Initial Condition},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:0907.5192},
year = {2009}
}
Comments
16 pages. Revised version adds references and expands the introduction