368 citations · 558 across the 22 of their papers we have counts for
4 papers · 1 filter
Mean-field limit for particle systems with topological interactions
Dario Benedetto, Emanuele Caglioti, Stefano Rossi
The mean-field limit for systems of self-propelled agents with topological interaction cannot be obtained by means of the usual Dobrushin approach. We get a result on this directio…
Large deviations for a binary collision model: energy evaporation
Giada Basile, Dario Benedetto, Lorenzo Bertini +1
We analyze the large deviations for a discrete energy Kac-like walk. In particular, we exhibit a path, with probability exponentially small in the number of particles, that looses…
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation
Dario Benedetto, Emanuele Caglioti, Stefano Rossi
We analyze the analytic Landau damping problem for the Vlasov-HMF equation, by fixing the asymptotic behavior of the solution. We use a new method for this "scattering problem", cl…
Large deviations for Kac-like walks
Giada Basile, Dario Benedetto, Lorenzo Bertini +1
We introduce a Kac's type walk whose rate of binary collisions preserves the total momentum but not the kinetic energy. In the limit of large number of particles we describe the dy…