English

The one-dimensional KPZ equation and its universality class

Mathematical Physics 2015-06-24 v1 math.MP

Abstract

Our understanding of the one-dimensional KPZ equation, \textit{alias} noisy Burgers equation, has advanced substantially over the past five years. We provide a non-technical review, where we limit ourselves to the stochastic PDE and lattice type models approximating it.

Keywords

Cite

@article{arxiv.1503.06185,
  title  = {The one-dimensional KPZ equation and its universality class},
  author = {Jeremy Quastel and Herbert Spohn},
  journal= {arXiv preprint arXiv:1503.06185},
  year   = {2015}
}

Comments

24 pages, 2 figures

R2 v1 2026-06-22T08:58:21.442Z