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


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.


Download Citation

Hubert Lacoin. "The Martingale approach to disorder irrelevance for pinning models." Electron. Commun. Probab. 15 418 - 427, 2010.


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

Primary: 82B44
Secondary: 60K05 , 60K37

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

Back to Top