The martingale approach to disorder irrelevance for pinning models

Published 25 Feb 2010 in math.PR, math-ph, and math.MP | (1002.4753v2)

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.

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Hubert Lacoin

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