Inhomogeneity and universality: off-critical behavior of interfaces
Probability
2009-07-10 v1
Abstract
We further study the interfaces arising in a situation of inhomogeneity. More precisely, we identify a characteristic length for the gradient percolation model, that enables us to tighten previous estimates established for it. This allows to construct non-trivial scaling limits: the limiting objects share some properties with critical percolation interfaces, but locally, they rather behave like off-critical percolation interfaces.
Keywords
Cite
@article{arxiv.0907.1495,
title = {Inhomogeneity and universality: off-critical behavior of interfaces},
author = {Pierre Nolin},
journal= {arXiv preprint arXiv:0907.1495},
year = {2009}
}
Comments
17 pages, 5 figures