A Double Large Deviation Principle for Monge-Ampère Gravitation
Vol. 11 No. 1 (2016) P.23~P.41
Monge-Ampère gravitation is a nonlinear modification of classical Newtonian gravitation,
when the Monge-Ampère 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.
Monge-Ampère, large deviation, gravitation.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35Q82, 49S05, 60F10.
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Revised : 2015-07-08