English

Formulas for Joint Probabilities for the Asymmetric Simple Exclusion Process

Probability 2010-06-16 v3 Mathematical Physics math.MP

Abstract

In earlier work the authors obtained integral formulas for probabilities for a single particle in the asymmetric simple exclusion process. Here formulas are obtained for joint probabilities for several particles. In the case of a single particle the derivation here is simpler than the one in the earlier work for one of its main results.

Keywords

Cite

@article{arxiv.1003.3431,
  title  = {Formulas for Joint Probabilities for the Asymmetric Simple Exclusion Process},
  author = {Craig A. Tracy and Harold Widom},
  journal= {arXiv preprint arXiv:1003.3431},
  year   = {2010}
}

Comments

15 pages. Version 3 adds references and improves the exposition.

R2 v1 2026-06-21T14:59:04.149Z