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math-ph2014★ 2 cited
Rigorous Results for Hierarchical Models of Structural Glasses
Michele Castellana
We consider two non-mean-field models of structural glasses built on a hierarchical lattice. First, we consider a hierarchical version of the random energy model (HREM), and we pro…
math-ph2013★ 10 cited
Free-energy bounds for hierarchical spin models
Michele Castellana, Adriano Barra, Francesco Guerra
In this paper we study two non-mean-field spin models built on a hierarchical lattice: The hierarchical Edward-Anderson model (HEA) of a spin glass, and Dyson's hierarchical model…