Large-scale limit of interface fluctuation models

Understand

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.