A double large deviation principle for monge-ampere gravitation
Analysis of PDEs
2015-04-29 v1
Abstract
Monge-Ampere gravitation is a nonlinear modification of classical Newtonian gravitation, when the Monge-Ampere equation substitutes for the Poisson equation. We establish, through two applications of the large deviation principle, that the MA gravitation for a finite number of particles can be reduced, through a double application of the large deviation principle, to the simplest possible stochastic model: a collection of independent Brownian motions with vanishing noise.
Cite
@article{arxiv.1504.07583,
title = {A double large deviation principle for monge-ampere gravitation},
author = {Yann Brenier},
journal= {arXiv preprint arXiv:1504.07583},
year = {2015}
}