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On a nonhierarchical version of the generalized random energy model

Erwin Bolthausen, Nicola Kistler

math.PRarXiv:math/0603212

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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