KPZ on torus: Gaussian fluctuations

Abstract

We study the KPZ equation on a torus and derive Gaussian fluctuations in large time.

49 pages, v3, final version

References in corpus (5)

• Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
• The one-dimensional KPZ equation and its universality class
• The heat and the landscape I
• Asymptotics of the density of parabolic Anderson random fields
• Some recent progress in singular stochastic PDEs

Cited by in corpus (2)

• High temperature behaviors of the directed polymer on a cylinder
• A PDE hierarchy for directed polymers in random environments