A combinatorial identity for the speed of growth in an anisotropic KPZ model
Mathematical Physics
2017-05-02 v3 Combinatorics
math.MP
Probability
Abstract
The speed of growth for a particular stochastic growth model introduced by Borodin and Ferrari in [Comm. Math. Phys. 325 (2014), 603-684], which belongs to the KPZ anisotropic universality class, was computed using multi-time correlations. The model was recently generalized by Toninelli in [arXiv:1503.05339] and for this generalization the stationary measure is known but the time correlations are unknown. In this note, we obtain algebraic and combinatorial proofs for the expression of the speed of growth from the prescribed dynamics.
Keywords
Cite
@article{arxiv.1508.01665,
title = {A combinatorial identity for the speed of growth in an anisotropic KPZ model},
author = {Sunil Chhita and Patrik L. Ferrari},
journal= {arXiv preprint arXiv:1508.01665},
year = {2017}
}
Comments
25 pages, 12 figures, LaTeX; A small simplication of the combinatorial proof