English

Gaussian fluctuations from the 2D KPZ equation

Probability 2019-06-06 v2 Mathematical Physics math.MP

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.

Cite

@article{arxiv.1812.07467,
  title  = {Gaussian fluctuations from the 2D KPZ equation},
  author = {Yu Gu},
  journal= {arXiv preprint arXiv:1812.07467},
  year   = {2019}
}

Comments

25 pages, v2, minor revisions

R2 v1 2026-06-23T06:46:32.643Z