English

Fluctuation Exponents of the KPZ equation on a large torus

Probability 2023-08-29 v2 Mathematical Physics math.MP

Abstract

We study the one-dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super-relaxation regime and part of the relaxation regime.

Keywords

Cite

@article{arxiv.2111.03650,
  title  = {Fluctuation Exponents of the KPZ equation on a large torus},
  author = {Alexander Dunlap and Yu Gu and Tomasz Komorowski},
  journal= {arXiv preprint arXiv:2111.03650},
  year   = {2023}
}

Comments

v2, minor revision, 34 pages, 2 figures, final version