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arXiv:math/0603212 [math.PR]AbstractReferencesReviewsResources

On a nonhierarchical version of the generalized random energy model

Erwin Bolthausen, Nicola Kistler

Published 2006-03-09Version 1

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.

Comments: 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)
Journal: Annals of Applied Probability 2006, Vol. 16, No. 1, 1-14
Categories: math.PR
Subjects: 60G60, 82B44
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