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math.PRApr 1, 2021
3
citations (OpenAlex)
authors
  • Yu Gu
  • Tomasz Komorowski
arXiv abstractPDF
paper

KPZ on torus: Gaussian fluctuations

arXiv:2104.13540

Abstract

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

arXiv comment49 pages, v3, final version

References in corpus (12)

  • Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
  • The one-dimensional KPZ equation: an exact solution and its universality
  • The one-dimensional KPZ equation and its universality class
  • Exact height distributions for the KPZ equation with narrow wedge initial condition
  • The KPZ fixed point
  • The directed landscape
  • Probability distribution of the free energy of a directed polymer in a random medium
  • Ground state energy of a non-integer number of particles with delta attractive interactions
  • The heat and the landscape I
  • Fluctuations of the winding number of a directed polymer in a random medium
  • 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
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