A replica-coupling approach to disordered pinning models. (English) Zbl 1207.82026

Loosely speaking, the paper deals with renewal processes with Pareto-power-like like tail. Depending upon the value of the exponent so involved in this tail, we shall deal with a process which exhibits disorder or organization. The present paper is two-fold. Firstly, one proposes a new derivation of a result previously published by K. S. Alexander [Commun. Math Phys 279, No. 1, 117-146 (2008; Zbl 1175.82034)]. In a second study, one refines some properties related to the relation between quenched and annealed free energy.


82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics
82B31 Stochastic methods applied to problems in equilibrium statistical mechanics


pinning model


Zbl 1175.82034
Full Text: DOI arXiv


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