Title of article
On a nonhierarchical version of the Generalized Random Energy Model, II: Ultrametricity
Author/Authors
Bolthausen، نويسنده , , Erwin and Kistler، نويسنده , , Nicola، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
30
From page
2357
To page
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.
Keywords
Disordered systems , Ultrametricity , Extreme values , Spin glasses
Journal title
Stochastic Processes and their Applications
Serial Year
2009
Journal title
Stochastic Processes and their Applications
Record number
1578152
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