The martingale approach to disorder irrelevance for pinning models

Details The martingale approach to disorder irrelevance for pinning models The martingale approach to disorder irrelevance for pinning models

2010-02-25

arxiv.org/abs/1002.4753v2

Electronic Communications in Probability 15 (2010) 418-427

Mathematics

Probability

9 Pages

Scientific paper

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.

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