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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.

MSC:

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

Keywords:

pinning model

Citations:

Zbl 1175.82034
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References:

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