On a nonhierarchical version of the generalized random energy model

Details On a nonhierarchical version of the generalized random energy model On a nonhierarchical version of the generalized random energy model

2006-03-09

arxiv.org/abs/math/0603212v1

Annals of Applied Probability 2006, Vol. 16, No. 1, 1-14

Mathematics

Probability

Published at http://dx.doi.org/10.1214/105051605000000665 in the Annals of Applied Probability (http://www.imstat.org/aap/) by

Scientific paper

10.1214/105051605000000665

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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