The martingale approach to disorder irrelevance for pinning models

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.

9 Pages

References in corpus (2)

• Fractional moment bounds and disorder relevance for pinning models
• A replica-coupling approach to disordered pinning models