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One step replica symmetry breaking and extreme order statistics of logarithmic REMs

Building upon the one-step replica symmetry breaking formalism, duly understood and ramified, we show that the sequence of ordered extreme values of a general class of Euclidean-space logarithmically correlated random energy models (logREMs) behave in the thermodynamic limit as a randomly shifted d...

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Autor principal: Xiangyu Cao, Yan V. Fyodorov, Pierre Le Doussal
Format: Artigo
Idioma:Inglês
Publicat: SciPost 2016-12-01
Col·lecció:SciPost Physics
Accés en línia:https://scipost.org/SciPostPhys.1.2.011
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