Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
Probability
2018-05-01 v3 Mathematical Physics
math.MP
Abstract
We consider TASEP in continuous time with non-random initial conditions and arbitrary fixed density of particles rho. We show GOE Tracy-Widom universality of the one-point fluctuations of the associated height function. The result phrased in last passage percolation language is the universality for the point-to-line problem where the line has an arbitrary slope.
Cite
@article{arxiv.1704.01291,
title = {Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density},
author = {Patrik L. Ferrari and Alessandra Occelli},
journal= {arXiv preprint arXiv:1704.01291},
year = {2018}
}
Comments
30 pages, 3 figures, LaTeX; Generalization to random initial conditions is has been added