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Stochastic deformation of classical mechanics

Pages: 807 - 813, Issue special, November 2013

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Jean-Claude Zambrini - Grupo de Física Matemática, Instituto para a Investigação Interdisciplinar da Universidade de Lisboa, Av. Prof. Gama Pinto, 2, PT-1649-003 Lisboa, Portugal (email)

Abstract: We describe a method of stochastic deformation of classical mechanics preserving the time symmetry of this theory. It provides a new general strategy to deform stochastically Geometric Mechanics.

Keywords:  Stochastic control, geometric mechanics, stochastic analysis.
Mathematics Subject Classification:  Primary: 60H10, 49L99, 70F99.

Received: September 2012; Published: November 2013.

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