On a nonhierarchical version of the generalized random energy model
نویسنده
چکیده
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. The Annals of Applied Probability 2006, Vol. 16, No. 1, 1–14 DOI: 10.1214/105051605000000665 © Institute of Mathematical Statistics, 2006 ON A NONHIERARCHICAL VERSION OF THE GENERALIZED RANDOM ENERGY MODEL1 BY ERWIN BOLTHAUSEN AND NICOLA KISTLER Universität Zürich 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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