The martingale approach to disorder irrelevance for pinning models
Probability
2011-03-15 v2 Mathematical Physics
math.MP
Abstract
This paper presents a very simple and self-contained proof of disorder irrelevance for inhomogeneous pinning models with return exponent alpha in the Interval (0,1/2). We also give a new upper bound for the contact fraction of the disordered model at criticality.
Keywords
Cite
@article{arxiv.1002.4753,
title = {The martingale approach to disorder irrelevance for pinning models},
author = {Hubert Lacoin},
journal= {arXiv preprint arXiv:1002.4753},
year = {2011}
}
Comments
9 Pages