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.
@article{1141654278,
author = {Bolthausen, Erwin and Kistler, Nicola},
title = {On a nonhierarchical version of the generalized random energy model},
journal = {Ann. Appl. Probab.},
volume = {16},
number = {1},
year = {2006},
pages = { 1-14},
language = {en},
url = {http://dml.mathdoc.fr/item/1141654278}
}
Bolthausen, Erwin; Kistler, Nicola. On a nonhierarchical version of the generalized random energy model. Ann. Appl. Probab., Tome 16 (2006) no. 1, pp. 1-14. http://gdmltest.u-ga.fr/item/1141654278/