17 citations · 38 across the 4 of their papers we have counts for
4 papers
A new approach to the mean-field limit of Vlasov-Fokker-Planck equations
Didier Bresch, Pierre-Emmanuel Jabin, Juan Soler
This article introduces a novel approach to the mean-field limit of stochastic systems of interacting particles, leading to the first ever derivation of the mean-field limit to the…
Mean-field limit of non-exchangeable systems
Pierre-Emmanuel Jabin, David Poyato, Juan Soler
This paper deals with the derivation of the mean-field limit for multi-agent systems on a large class of sparse graphs. More specifically, the case of non-exchangeable multi-agent…
Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity
Simone Calogero, Oscar Sanchez, Juan Soler
The Nordström-Vlasov system is a relativistic Lorentz invariant generalization of the Vlasov-Poisson system in the gravitational case. The asymptotic behavior of solutions and the…
Exact solutions and dynamics of globally coupled phase oscillators
L. L. Bonilla, C. J. Perez-Vicente, F. Ritort +1
We analyze mean-field models of synchronization of phase oscillators with singular couplings and subject to external random forces. They are related to the Kuramoto-Sakaguchi model…