Formulas for Joint Probabilities for the Asymmetric Simple Exclusion Process
arXiv:1003.3431 · doi:10.1063/1.3431977
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.
15 pages. Version 3 adds references and improves the exposition.
References in corpus (5)
- Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
- Asymptotics in ASEP with Step Initial Condition
- Fluctuation properties of the TASEP with periodic initial configuration
- Transition between Airy_1 and Airy_2 processes and TASEP fluctuations
- Total Current Fluctuations in ASEP