On a nonhierarchical version of the generalized random energy model

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We introduce a natural nonhierarchical version of Derrida's generalized random energy model. We prove that, in the thermodynamical limit, the free energy is the same as that of a suitably constructed GREM.
Published at http://dx.doi.org/10.1214/105051605000000665 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Probability, 60G60, 82B44 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/110120

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603212
 http://arxiv.org/abs/math/0603212
 Annals of Applied Probability 2006, Vol. 16, No. 1, 1-14
 doi:10.1214/105051605000000665

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