On gradient bounds for the heat kernel on the Heisenberg group

Abstract

It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The associated diffusion operator is hypoelliptic but not elliptic, which makes difficult the derivation of functional inequalities for the heat kernel. However… (More)

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Cite this paper

@inproceedings{Bakry2008OnGB, title={On gradient bounds for the heat kernel on the Heisenberg group}, author={Dominique Bakry and Fabrice Baudoin and Michel Bonnefont and Djalil Chafai and D. Bakry and M. Bonnefont and D. Chaf{\"a}ı}, year={2008} }