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On a nonhierarchical version of the generalized random energy model


Bolthausen, E; Kistler, N (2006). On a nonhierarchical version of the generalized random energy model. Annals of Applied Probability, 16(1):1-14.

Abstract

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.

Abstract

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Spin glasses; disordered systems; ultrametricity
Language:English
Date:2006
Deposited On:07 Jan 2010 14:52
Last Modified:21 Nov 2017 14:21
Publisher:Institute of Mathematical Statistics
ISSN:1050-5164
Publisher DOI:https://doi.org/10.1214/105051605000000665
Related URLs:http://arxiv.org/abs/math/0603212

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