31 citations · 102 across the 7 of their papers we have counts for
7 papers
Inverse problem for multi-species mean field models in the low temperature phase
Micaela Fedele, Cecilia Vernia
In this paper we solve the inverse problem for a class of mean field models (Curie-Weiss model and its multi-species version) when multiple thermodynamic states are present, as in…
Limit theorems for monomer-dimer mean-field models with attractive potential
Diego Alberici, Pierluigi Contucci, Micaela Fedele +1
The number of monomers, in a monomer-dimer mean-field model with an attractive potential, fluctuates according to the central limit theorem when the parameters are outside the crit…
Rescaled Magnetization for Critical Bipartite Mean-Fields Models
Micaela Fedele
We consider a bipartite generalization of the Curie-Weiss model in a critical regime. In order to study the asymptotic behavior of the random vector of the total magnetization we a…
A mean field model for the collective behaviour of interacting multi-species particles. Mathematical results and application to the inverse problem
M. Fedele
The study of the normalized sum of random variables and its asymptotic behaviour has been and continues to be a central chapter in probability and statistical mechanics. When those…
Inverse problem robustness for multi-species mean field spin models
M. Fedele, C. Vernia, P. Contucci
The inverse problem method is tested for a class of mean field statistical mechanics models representing a mixture of particles of different species. The robustness of the inversio…
Rigorous Results on the Bipartite Mean-Field Model
Micaela Fedele, Francesco Unguendoli
We consider a bipartite mean-field model in which both the interaction constant and the external field take different values only depending on the groups particles belong to. We co…