On a nonhierarchical version of the generalized random energy model

Authors
Bolthausen, Erwin Kistler, Nicola
Citation
Bolthausen, Erwin et Kistler, Nicola, On a nonhierarchical version of the generalized random energy model, Annals of applied probability , 16(1), 2006, pp. 1-14
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
16
Issue
1
Year of publication
2006
Pages
1 - 14
Database
ACNP
SICI code
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.