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The geometry of subelliptic diffusions

By Anton Thalmaier

Appears in collection : Sub-Riemannian manifolds : from geodesics to hypoelliptic diffusion / Géométrie sous-riemannienne : des géodésiques aux diffusions hypoelliptiques

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.

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Citation data

  • DOI 10.24350/CIRM.V.18599203
  • Cite this video Thalmaier Anton (9/1/14). The geometry of subelliptic diffusions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18599203
  • URL https://dx.doi.org/10.24350/CIRM.V.18599203

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