%0 Journal Article %T The research program of Stochastic Deformation (with a view toward Geometric Mechanics) %A Jean-Claude Zambrini %J Physics %D 2012 %I arXiv %X We give an overview of a program of Stochastic Deformation of Classical Mechanics and the Calculus of Variations, strongly inspired by the quantization method. %U http://arxiv.org/abs/1212.4186v3