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.
Bolthausen, E; Kistler, N (2006). On a nonhierarchical version of the generalized random energy model. Annals of Applied Probability, 16(1):1-14.
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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| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Uncontrolled Keywords: | Spin glasses, disordered systems, ultrametricity |
| Language: | English |
| Date: | 2006 |
| Deposited On: | 07 Jan 2010 14:52 |
| Last Modified: | 26 Jun 2022 22:23 |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 1050-5164 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1214/105051605000000665 |
| Related URLs: | http://arxiv.org/abs/math/0603212 |
Bolthausen, E