LARGE SCALE LIMIT OF INTERFACE FLUCTUATION MODELS

• 成果类型: Article
• 署名作者: Hairer, Martin; Xu, Weijun
• 署名单位: Imperial College London; University of Oxford; New York University; NYU Shanghai
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/18-AOP1317
• 发表日期: 2019
• 页码: 3478-3550
• 关键词: kpz; equation; THEOREM

摘要

We extend the weak universality of KPZ in [An analytic BPHZ theorem for regularity structures (2016)] 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.