Monge–Ampère gravitation as a Γ-limit of good rate functions
Monge–Ampère gravitation as a Γ-limit of good rate functions
Monge-Amp\`ere gravitation is a modification of the classical Newtonian gravitation where the linear Poisson equation is replaced by the nonlinear Monge-Amp\`ere equation. This paper is concerned with the rigorous derivation of Monge-Amp\`ere gravitation for a finite number of particles from the stochastic model of a Brownian point cloud, in the …