A double large deviation principle for monge-ampere gravitation

Yann Brenier

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arXiv · 1504.07583

A double large deviation principle for monge-ampere gravitation

Yann Brenier

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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.

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Yann Brenier. 2015-04-23. A double large deviation principle for monge-ampere gravitation. https://arxiv.org/abs/1504.07583

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