42 citations · 79 across the 6 of their papers we have counts for
5 papers · 1 filter
Asymptotic versus mesoscopic spectral dimensions in networks and inhomogeneous structures
Lorenzo Grimaldi, Pablo Villegas, Alessandro Vezzani +3
"Every object that biology studies is a system of systems." (François Jacob, 1974). Most networks feature intricate architectures originating from tinkering, a repetitive use of ex…
Diffusive Thermal Dynamics for the Ising Ferromagnet
P. Buonsante, R. Burioni, D. Cassi +1
We introduce a thermal dynamics for the Ising ferromagnet where the energy variations occurring within the system exhibit a diffusive character typical of thermalizing agents such…
Spectral partitions on infinite graphs
R. Burioni, D. Cassi, C. Destri
Statistical models on infinite graphs may exhibit inhomogeneous thermodynamic behaviour at macroscopic scales. This phenomenon is of geometrical origin and may be properly describe…
The Type-problem on the Average for random walks on graphs
R. Burioni, D. Cassi, A. Vezzani
When averages over all starting points are considered, the Type Problem for the recurrence or transience of a simple random walk on an inhomogeneous network in general differs from…
The inverse Mermin-Wagner theorem for classical spin models on graphs
R. Burioni, D. Cassi, A. Vezzani
In this letter we present the inversion of the Mermin-Wagner theorem on graphs, by proving the existence of spontaneous magnetization at finite temperature for classical spin model…