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arXiv · 2003.03995

Quadratic transportation inequalities for SDEs with measurable drift

Khaled Bahlali·Soufiane Mouchtabih·Ludovic Tangpi
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Abstract

Let X be the solution of the multidimensional stochastic differential equationdX(t) = b(t, X(t)) dt + sigma(t, X(t)) dW(t)\, with X(0)=x where W is a standard Brownian motion. We show that when b is measurable and sigma is in an appropriate Sobolev space, the law of X satisfies a uniform quadratic transportation inequality.

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Khaled Bahlali, Soufiane Mouchtabih, Ludovic Tangpi. 2020-03-09. Quadratic transportation inequalities for SDEs with measurable drift. https://arxiv.org/abs/2003.03995

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