Blocks in ASEP with step-Bernoulli initial condition
Probability
2019-05-30 v1 Mathematical Physics
math.MP
Abstract
This paper extends work by Tracy and Widom on blocks in the asymmetric simple exclusion process (ASEP) to the case of step-Bernoulli initial condition. We consider the probability that a particle at site is the beginning of a block of consecutive particles at time in ASEP with step-Bernoulli initial condition. A Fredholm determinant representation for this probability is derived, and the asymptotics are computed for the KPZ regime.
Keywords
Cite
@article{arxiv.1905.12046,
title = {Blocks in ASEP with step-Bernoulli initial condition},
author = {Kyle Johnson},
journal= {arXiv preprint arXiv:1905.12046},
year = {2019}
}