Weak convergence of directed polymers to deterministic KPZ at high temperature
Probability
2022-05-16 v3 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
It is shown that when , the growing random surface generated by the -dimensional directed polymer model at sufficiently high temperature, after being smoothed by taking microscopic local averages, converges to a solution of the deterministic KPZ equation in a suitable scaling limit.
Keywords
Cite
@article{arxiv.2105.05933,
title = {Weak convergence of directed polymers to deterministic KPZ at high temperature},
author = {Sourav Chatterjee},
journal= {arXiv preprint arXiv:2105.05933},
year = {2022}
}
Comments
26 pages. Minor changes in this revision. To appear in Ann. de l'Institut Henri Poincare Probab. Stat