3 problems

The particle system is given by Systems and, while the corresponding kinetic model is given by Systems and. Mean-field convergence conjecture. The particle system converges to the…

Let $M$ be the state manifold, let $R>0$, let $v$ denote the velocity variable, and let ${\mathcal K}$ be the interaction kernel. Let $\mu_t^N$ be the empirical measure of the norm…

BCT's conjecture. These qualitative facts should hold for a larger class of interaction kernels.