9 citations · 26 across the 11 of their papers we have counts for
3 papers · 1 filter
Parameter Evaluation of a Simple Mean-Field Model of Social Interaction
Ignacio Gallo, Adriano Barra, Pierluigi Contucci
The aim of this work is to implement a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. A class of simple mean field discrete mo…
Spin Glass Identities and the Nishimori Line
Pierluigi Contucci, Cristian Giardina, Hidetoshi Nishimori
For a general spin glass model with asymmetric couplings we prove a family of identities involving expectations of generalized overlaps and magnetizations in the quenched state. Th…
Correlation Inequalities for Spin Glass in one Dimension
Pierluigi Contucci, Francesco Unguendoli
We prove two inequalities for the direct and truncated correlation for the nearest-neighboor one-dimensional Edwards-Anderson model with symmetric quenched disorder. The second ine…