Large-scale limit of interface fluctuation models

Martin Hairer; Weijun Xu

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arXiv · 1802.08192

Large-scale limit of interface fluctuation models

Martin Hairer·Weijun Xu

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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.

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Martin Hairer, Weijun Xu. 2018-02-22. Large-scale limit of interface fluctuation models. https://arxiv.org/abs/1802.08192

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