3 papers
math.PR2020
A Law of Large Numbers for interacting diffusions via a mild formulation
Florian Bechtold, Fabio Coppini
Consider a system of weakly interacting particles driven by independent Brownian motions. In many instances, it is well known that the empirical measure converges to the soluti…
math.PR2019
Long time dynamics for interacting oscillators on graphs
Fabio Coppini
The stochastic Kuramoto model defined on a sequence of graphs is analyzed: the emphasis is posed on the relationship between the mean field limit, the connectivity of the underlyin…
math.PR2018
A Law of Large Numbers and Large Deviations for interacting diffusions on Erdős-Rényi graphs
Fabio Coppini, Helge Dietert, Giambattista Giacomin
We consider a class of particle systems described by differential equations (both stochastic and deterministic), in which the interaction network is determined by the realization o…