A Pfaffian representation for flat ASEP
Probability
2020-10-15 v1 Mathematical Physics
math.MP
Abstract
We obtain a Fredholm Pfaffian formula for an appropriate generating function of the height function of the asymmetric simple exclusion process starting from flat (periodic) initial data. Formal asymptotics lead to the GOE Tracy-Widom distribution.
Cite
@article{arxiv.1501.05626,
title = {A Pfaffian representation for flat ASEP},
author = {Janosch Ortmann and Jeremy Quastel and Daniel Remenik},
journal= {arXiv preprint arXiv:1501.05626},
year = {2020}
}