Abstract
We study the Gibbs measure of the nonhierarchical versions of the Generalized Random Energy Models introduced in previous work. We prove that the ultrametricity holds only provided some nondegeneracy conditions on the Hamiltonian are met.
Bolthausen, E; Kistler, N (2009). On a nonhierarchical version of the generalized random. Stochastic Processes and their Applications, 119(7):2357-2386.
Abstract
We study the Gibbs measure of the nonhierarchical versions of the Generalized Random Energy Models introduced in previous work. We prove that the ultrametricity holds only provided some nondegeneracy conditions on the Hamiltonian are met.
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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
Physical Sciences > Modeling and Simulation Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 2009 |
| Deposited On: | 04 Nov 2009 13:40 |
| Last Modified: | 27 Jun 2022 07:38 |
| Publisher: | Elsevier |
| ISSN: | 0304-4149 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.spa.2008.12.002 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2531095 http://arxiv.org/abs/0802.3436v2 |
Bolthausen, E