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February 2006 On a nonhierarchical version of the generalized random energy model
Erwin Bolthausen, Nicola Kistler
Ann. Appl. Probab. 16(1): 1-14 (February 2006). DOI: 10.1214/105051605000000665

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.

Citation

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Erwin Bolthausen. Nicola Kistler. "On a nonhierarchical version of the generalized random energy model." Ann. Appl. Probab. 16 (1) 1 - 14, February 2006. https://doi.org/10.1214/105051605000000665

Information

Published: February 2006
First available in Project Euclid: 6 March 2006

zbMATH: 1100.60026
MathSciNet: MR2209333
Digital Object Identifier: 10.1214/105051605000000665

Subjects:
Primary: 60G60 , 82B44

Keywords: Disordered systems , Spin glasses , Ultrametricity

Rights: Copyright © 2006 Institute of Mathematical Statistics

Vol.16 • No. 1 • February 2006
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