64 citations · 304 across the 25 of their papers we have counts for
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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…
cond-mat.dis-nn2013★ 22 cited
Inverse spin glass and related maximum entropy problems
Michele Castellana, William Bialek
If we have a system of binary variables and we measure the pairwise correlations among these variables, then the least structured or maximum entropy model for their joint distribut…
cond-mat.dis-nn2013★ 6 cited
The Renormalization Group for Disordered Systems
Michele Castellana
In this thesis we investigate the Renormalization Group (RG) approach in finite-dimensional glassy systems, whose critical features are still not well-established, or simply unknow…