Tracy-Widom asymptotics for q-TASEP
Probability
2019-05-20 v4
Abstract
We consider the q-TASEP that is a q-deformation of the totally asymmetric simple exclusion process (TASEP) on Z for q in [0,1) where the jump rates depend on the gap to the next particle. For step initial condition, we prove that the current fluctuation of q-TASEP at time t are of order t^{1/3} and asymptotically distributed as the GUE Tracy-Widom distribution, which confirms the KPZ scaling theory conjecture.
Keywords
Cite
@article{arxiv.1310.2515,
title = {Tracy-Widom asymptotics for q-TASEP},
author = {Patrik L. Ferrari and Balint Veto},
journal= {arXiv preprint arXiv:1310.2515},
year = {2019}
}
Comments
24 pages, 5 figures