English

Directed random growth models on the plane

Probability 2009-11-24 v1

Abstract

This is a brief survey of laws of large numbers, fluctuation results and large deviation principles for asymmetric interacting particle systems that represent moving interfaces on the plane. We discuss the exclusion process, the Hammersley process and the related last-passage growth models.

Keywords

Cite

@article{arxiv.0708.2721,
  title  = {Directed random growth models on the plane},
  author = {Timo Seppalainen},
  journal= {arXiv preprint arXiv:0708.2721},
  year   = {2009}
}

Comments

30 pages

R2 v1 2026-06-21T09:09:04.621Z