2016 / March Volume 11 No.1
A Double Large Deviation Principle for Monge-Ampère Gravitation
| Published Date |
2016 / March
|
|---|---|
| Title | A Double Large Deviation Principle for Monge-Ampère Gravitation |
| Author | |
| Keyword | |
| Download | |
| Pagination | 23-41 |
| Abstract | 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.
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| AMS Subject Classification |
35Q82, 49S05, 60F10.
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| Received |
2015-07-08
|
| Accepted |
2015-06-30
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