English

On some special directed last-passage percolation models

Probability 2007-05-23 v1 Mathematical Physics math.MP

Abstract

We investigate extended processes given by last-passage times in directed models defined using exponential variables with decaying mean. In certain cases we find the universal Airy process, but other cases lead to non-universal and trivial extended processes.

Keywords

Cite

@article{arxiv.math/0703492,
  title  = {On some special directed last-passage percolation models},
  author = {Kurt Johansson},
  journal= {arXiv preprint arXiv:math/0703492},
  year   = {2007}
}

Comments

14 pages