Open Access
2010 The Martingale approach to disorder irrelevance for pinning models
Hubert Lacoin
Author Affiliations +
Electron. Commun. Probab. 15: 418-427 (2010). DOI: 10.1214/ECP.v15-1572

Abstract

This paper presents a very simple and self-contained proof of disorder irrelevance for inhomogeneous pinning models with return exponent $\alpha \in (0,1/2)$. We also give a new upper bound for the contact fraction of the disordered model at criticality.

Citation

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Hubert Lacoin. "The Martingale approach to disorder irrelevance for pinning models." Electron. Commun. Probab. 15 418 - 427, 2010. https://doi.org/10.1214/ECP.v15-1572

Information

Accepted: 30 September 2010; Published: 2010
First available in Project Euclid: 6 June 2016

zbMATH: 1221.82058
MathSciNet: MR2726088
Digital Object Identifier: 10.1214/ECP.v15-1572

Subjects:
Primary: 82B44
Secondary: 60K05 , 60K37

Keywords: Disordered models , Harris criterion , Pinning/Wetting Models , Relevant Disorder , renewal theory

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