Large-scale limit of interface fluctuation models
Probability
2018-08-27 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We extend the weak universality of KPZ in [Hairer-Quastel] to weakly asymmetric interface models with general growth mechanisms beyond polynomials. A key new ingredient is a pointwise bound on correlations of trigonometric functions of Gaussians in terms of their polynomial counterparts. This enables us to reduce the problem of a general nonlinearity with sufficient regularity to that of a polynomial.
Keywords
Cite
@article{arxiv.1802.08192,
title = {Large-scale limit of interface fluctuation models},
author = {Martin Hairer and Weijun Xu},
journal= {arXiv preprint arXiv:1802.08192},
year = {2018}
}
Comments
64 page; some typos fixed