114 citations · 1.4k across the 68 of their papers we have counts for
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cond-mat.dis-nn2009★ 21 cited
Large Deviations of the Free-Energy in Diluted Mean-Field Spin-Glass
Giorgio Parisi, Tommaso Rizzo
Sample-to-sample free energy fluctuations in spin-glasses display a markedly different behaviour in finite-dimensional and fully-connected models, namely Gaussian vs. non-Gaussian.…
cond-mat.dis-nn2009★ 29 cited
Replica Cluster Variational Method
T. Rizzo, A. Lage-Castellanos, R. Mulet +1
We present a general formalism to make the Replica-Symmetric and Replica-Symmetry-Breaking ansatz in the context of Kikuchi's Cluster Variational Method (CVM). Using replicas and t…
cond-mat.dis-nn2009★ 19 cited
Universality and Deviations in Disordered Systems
Giorgio Parisi, Tommaso Rizzo
We compute the probability of positive large deviations of the free energy per spin in mean-field Spin-Glass models. The probability vanishes in the thermodynamic limit as $P(Δf) \…