28 citations · 46 across the 10 of their papers we have counts for
10 papers
Characterization of system signatures
Alessandro D'Andrea, Luca De Sanctis
We suggest a purely combinatorial approach to a general problem in system reliability. We show how to determine if a given vector can be the signature of a system, and in the affir…
Fluctuations in the Ising spin model on a sparse random graph
Luca De Sanctis
We compute the fluctuations of the magnetization and of the multi-overlaps for the dilute mean field ferromagnet, in the high temperature region. The rescaled magnetization tends t…
Mean field dilute ferromagnet I. High temperature and zero temperature behavior
Luca De Sanctis, Francesco Guerra
We study the mean field dilute model of a ferromagnet. We find and prove an expression for the free energy density at high temperature, and at temperature zero. We find the critica…
Critical behavior of random spin systems
Luca De Sanctis, Adriano Barra, Viola Folli
We provide a strategy to find in few elementary calculations the critical exponents of the overlaps for dilute spin glasses, in absence of external field. Such a strategy is based…
Self-Averaging Identities for Random Spin Systems
Luca De Sanctis, Silvio Franz
We provide a systematic treatment of self-averaging identities for various spin systems. The method is quite general, basically not relying on the nature of the model, and as a spe…
Positive-Overlap Transition and Critical Exponents in Mean Field Spin Glasses
Alessandra Agostini, Adriano Barra, Luca De Sanctis
In this paper we obtain two results for the Sherrington-Kirkpatrick (SK) model, and we show that they both emerge from a single approach. First, we prove that the average of the ov…