14 citations · 53 across the 14 of their papers we have counts for
6 papers · 1 filter
Stellar dynamics within the virial theorem: asymptotic small-parameters time expansion of the Ermakov-Lewis-Leach invariant as an infinite series of conservation laws
Orchidea Maria Lecian, Brunello Tirozzi
The regime of undamped oscillations characterizing the stellar dynamics of virialised systems is analysed within the framework of a new approach to the study of the integrals of mo…
Quantum Hopfield Model
Masha Shcherbina, Brunello Tirozzi
We find the free-energy in the thermodynamic limit of a one dimensional XY model associated to a system of N qubits. The coupling among the sigma_i^z is a long range two bodies ran…
Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs. Diluted regime
Maria Shcherbina, Brunello Tirozzi
We study the linear eigenvalue statistics of large random graphs in the regimes when the mean number of edges for each vertex tends to infinity. We prove that for a rather wide cla…
Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs
M. Shcherbina, B. Tirozzi
We consider the adjacency matrix of a large random graph and study fluctuations of the function with . W…
Generalized Maslov canonical operator and tsunami asymptotics over nonuniform bottom. I
Sergey Dobrokhotov, Sergey Sekerzh-Zenkovich, Brunello Tirozzi +1
We suggest a new asymptotic representation for the solutions to the 2-D wave equation with variable velocity with localized initial data. This representation is a generalization of…
Rigorous Solution of the Gardner Problem
M. Shcherbina, B. Tirozzi
We prove rigorously the well-known result of Gardner about the typical fractional volume of interactions between N spins which solve the problem of storing a given set of random pa…