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arXiv · 0907.1143

Ornstein-Uhlenbeck semi-groups on stratified groups

Francoise Lust-Piquard
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Abstract

We consider, in the setting of stratified groups G, two analogues of the Ornstein-Uhlenbeck semi-group, namely Markovian diffusion semi-groups acting on $L^q(pd g)$, whose invariant density $p$ is a heat kernel at time 1 on G.

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Francoise Lust-Piquard. 2009-07-07. Ornstein-Uhlenbeck semi-groups on stratified groups. https://arxiv.org/abs/0907.1143

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