arXiv Analytics

Sign in

arXiv:0907.5192 [math.PR]AbstractReferencesReviewsResources

On ASEP with Step Bernoulli Initial Condition

Craig A. Tracy, Harold Widom

Published 2009-07-29, updated 2009-10-27Version 2

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.)

Comments: 16 pages. Revised version adds references and expands the introduction
Journal: Journal of Statistical Physics 137 (2009), 825-838.
Categories: math.PR, math-ph, math.MP
Subjects: 60K35
Related articles: Most relevant | Search more
arXiv:0905.2993 [math.PR] (Published 2009-05-19, updated 2010-12-07)
Current fluctuations for TASEP: A proof of the Prähofer--Spohn conjecture
arXiv:1004.2095 [math.PR] (Published 2010-04-13)
Current fluctuations for stochastic particle systems with drift in one spatial dimension
arXiv:1009.2732 [math.PR] (Published 2010-09-14)
Current fluctuations for independent random walks in multiple dimensions

Links

Toolbox