Lacoin, Hubert The martingale approach to disorder irrelevance for pinning models. (English) Zbl 1221.82058 Electron. Commun. Probab. 15, 418-427 (2010). Summary: We present 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. Cited in 19 Documents MSC: 82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics 60K37 Processes in random environments 60K05 Renewal theory PDF BibTeX XML Cite \textit{H. Lacoin}, Electron. Commun. Probab. 15, 418--427 (2010; Zbl 1221.82058) Full Text: DOI arXiv EMIS OpenURL