A replica-coupling approach to disordered pinning models (Q934635)

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 \textit{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.