368 citations · 839 across the 38 of their papers we have counts for
39 papers
Time Averages for the Vortex Model and Stroboscopic Ergodic Averages
Emanuele Caglioti, Marco Cecchini
We consider the vortex model on the plane, focusing on the case of vortices with the same sign and, for simplicity, assuming all vortices possess equal circulation. In particular w…
Subadditivity and optimal matching of unbounded samples
Emanuele Caglioti, Michael Goldman, Francesca Pieroni +1
We obtain new bounds for the optimal matching cost for empirical measures with unbounded support. For a large class of radially symmetric and rapidly decaying probability laws, we…
Scattering problem for Vlasov-type equations on the -dimensional torus with Gevrey data
Dario Benedetto, Emanuele Caglioti, Antoine Gagnebin +2
In this article, we consider Vlasov-type equations describing the evolution of single-species type plasmas, such as those composed of electrons (Vlasov-Poisson) or ions (screened V…
Microcanonical phase transitions for the vortex system
Dario Benedetto, Emanuele Caglioti, Margherita Nolasco
We consider the Microcanonical Variational Principle for the vortex system in a bounded domain. In particular we are interested in the thermodynamic properties of the system in dom…
Random matching in 2D with exponent 2 for gaussian densities
Emanuele Caglioti, Francesca Pieroni
We solve the Random Euclidean Matching problem with exponent 2 for the Gaussian distribution defined on the plane. Previous works by Ledoux and Talagrand determined the leading beh…
Asymptotic probability of energy increasing solutions to the homogeneous Boltzmann equation
Giada Basile, Dario Benedetto, Lorenzo Bertini +1
Weak solutions to the homogeneous Boltzmann equation with increasing energy have been constructed by Lu and Wennberg. We consider an underlying microscopic stochastic model with bi…