Gaussian fluctuations from the 2D KPZ equation
arXiv:1812.07467
Abstract
We prove the two dimensional KPZ equation with a logarithmically tuned nonlinearity and a small coupling constant, scales to the Edwards-Wilkinson equation with an effective variance.
25 pages, v2, minor revisions
References in corpus (6)
- Central limit theorems for sequences of multiple stochastic integrals
- The one-dimensional KPZ equation and its universality class
- Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos
- Asymptotics of the density of parabolic Anderson random fields
- Some recent progress in singular stochastic PDEs
- Fluctuation and Rate of Convergence for the Stochastic Heat Equation in Weak Disorder