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math.PR2011★ 6 cited
Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups
Fabrice Baudoin, Maria Gordina, Tai Melcher
We study heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg-like Lie groups. In particular, we show that Cameron-Martin type quasi-invariance results hold in th…
math.PR2011
Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions
Fabrice Baudoin, Cheng Ouyang
We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions. Such functional ine…