# Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds

@article{Baudoin2019IntegrationBP, title={Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds}, author={Fabrice Baudoin and Maria Gordina and Qi Feng}, journal={Journal of Functional Analysis}, year={2019} }

## 15 Citations

### Harnack inequalities on totally geodesic foliations with transverse Ricci flow

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Under the transverse Ricci flow on a totally geodesic Riemannian foliation, we prove two types of differential Harnack inequalities (Li-Yau gradient estimate) for the positive solutions of the heat…

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In this paper we study a large deviation principle of Freidlin-Wentzell type for pinned hypoelliptic diffusion measures associated with a natural sub-Laplacian on a compact sub-Riemannian manifold.…

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### Quasi-invariance for infinite-dimensional Kolmogorov diffusions

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Abstract. We prove Cameron-Martin type quasi-invariance results for the heat kernel measure of infinite-dimensional Kolmogorov and related diffusions. We first study quantitative functional…

### Baudoin, Fabrice;Wang, Jing Asymptotic windings of the block determinants of a unitary Brownian motion and related

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We study several matrix diffusion processes constructed from a unitary Brownian motion. In particular, we use the Stiefel fibration to lift the Brownian motion of the complex Grassmannian to the…

### Cartan connections for stochastic developments on sub-Riemannian manifolds

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Analogous to the characterisation of Brownian motion on a Riemannian manifold as the development of Brownian motion on a Euclidean space, we construct sub-Riemannian diffusion processes for several…

### Brownian motions and eigenvalues on complex Grassmannian and Stiefel manifolds

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### PR ] 2 J un 2 02 1 QUASI-INVARIANCE FOR INFINITE-DIMENSIONAL KOLMOGOROV DIFFUSIONS

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### Generalized Gamma $z$ calculus via sub-Riemannian density manifold

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We generalize the Gamma $z$ calculus to study degenerate drift-diffusion processes, where $z$ stands for extra directions introduced into the degenerate system. Based on this calculus, we establish…

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