On the irrelevant disorder regime of pinning models

DOI10.1214/09-AOP454zbMath1181.60148arXiv0707.3340MaRDI QIDQ1035863

Fabio Lucio Toninelli, Giambattista Giacomin

Publication date: 4 November 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3340

zbMATH Keywords

renewal theorydirected polymersHarris criterionpinning and wetting modelsintersection of renewalsirrelevant disorder

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37) Renewal theory (60K05)

Related Items

Hierarchical pinning models, quadratic maps and quenched disorder ⋮ Localization, big-jump regime and the effect of disorder for a class of generalized pinning models ⋮ Variational characterization of the critical curve for pinning of random polymers ⋮ Localization for a random walk in slowly decreasing random potential ⋮ Disorder relevance at marginality and critical point shift ⋮ Sharp critical behavior for pinning models in a random correlated environment ⋮ PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT ⋮ Random pinning model with finite range correlations: disorder relevant regime ⋮ Equality of critical points for polymer depinning transitions with loop exponent one ⋮ Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction ⋮ The depinning transition in presence of disorder: a toy model ⋮ Results and conjectures on a toy model of depinning

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