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The geometry of subelliptic diffusions

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Authors : Thalmaier, Anton (Author of the conference)
CIRM (Publisher )

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Abstract : We discuss hypoelliptic and subelliptic diffusions; the lectures include the following topics: Malliavin calculus; Hormander's theorem; smoothness of transition probabilities under Hormander's brackets condition; control theory and Stroock-Varadhan's support theorems; hypoelliptic heat kernel estimates; gradient estimates and Harnack type inequalities for subelliptic diffusion semi-groups; notions of curvature related to sub-Riemannian diffusions.

MSC Codes :
58J65 - Diffusion processes and stochastic analyisis on manifolds
60H07 - Stochastic calculus of variations and the Malliavin calculus
60J60 - Diffusion processes

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 09/09/14
    Conference Date : 01/09/14
    Subseries : Research talks
    arXiv category : Differential Geometry ; Probability
    Mathematical Area(s) : Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 01:31:47
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2014-09-01_Thalmaier.mp4

Information on the Event

Event Title : Sub-Riemannian manifolds : from geodesics to hypoelliptic diffusion / Géométrie sous-riemannienne : des géodésiques aux diffusions hypoelliptiques
Event Organizers : Agrachev, Andrei ; Boscain, Ugo ; Jean, Frédéric ; Sigalotti, Mario
Dates : 01/09/14 - 05/09/14
Event Year : 2014
Event URL : http://www.cmap.polytechnique.fr/subriem...

Citation Data

DOI : 10.24350/CIRM.V.18599203
Cite this video as: Thalmaier, Anton (2014). The geometry of subelliptic diffusions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18599203
URI : http://dx.doi.org/10.24350/CIRM.V.18599203

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