On a nonhierarchical version of the Generalized Random Energy Model, II: Ultrametricity

Autor:	Nicola Kistler, Erwin Bolthausen
Rok vydání:	2009
Předmět:	Statistics and Probability Extreme values Ultrametricity 01 natural sciences 010104 statistics & probability symbols.namesake Spin glasses Modelling and Simulation Calculus FOS: Mathematics Statistical physics 0101 mathematics Gibbs measure Extreme value theory Mathematics::Symplectic Geometry Mathematics Stochastic process Random energy model Applied Mathematics 010102 general mathematics Probability (math.PR) Disordered systems Modeling and Simulation symbols 60G60 82B44 Hamiltonian (quantum mechanics) Mathematics - Probability
Zdroj:	Stochastic Processes and their Applications. 119(7):2357-2386
ISSN:	0304-4149
DOI:	10.1016/j.spa.2008.12.002
Popis:	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. Revised version
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e442cf3768a3c69e5527761c79410588 Zobrazit plný text záznamu Full Text from ScienceDirect