Convergence of the two-point function of the stationary TASEP
Mathematical Physics
2014-04-24 v2 math.MP
Abstract
We consider the two-point function of the totally asymmetric simple exclusion process with stationary initial conditions. The two-point function can be expressed as the discrete Laplacian of the variance of the associated height function. The limit of the distribution function of the appropriately scaled height function was obtained previously by Ferrari and Spohn. In this paper we show that the convergence can be improved to the convergence of moments. This implies the convergence of the two-point function in a weak sense along the near-characteristic direction as time tends to infinity, thereby confirming the conjecture in the paper of Ferrari and Spohn.
Keywords
Cite
@article{arxiv.1209.0116,
title = {Convergence of the two-point function of the stationary TASEP},
author = {Jinho Baik and Patrik L. Ferrari and Sandrine Péché},
journal= {arXiv preprint arXiv:1209.0116},
year = {2014}
}
Comments
LaTeX, 18 pages, 2 figures; Minor corrections