Conformal Transforms and Doob’s h-Processes on Heisenberg Groups

DOI10.1007/978-3-319-59671-6_8zbMath1412.60121arXiv1609.09851OpenAlexW2529128960MaRDI QIDQ3119739

Jing Wang

Publication date: 12 March 2019

Published in: Stochastic Analysis and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09851

zbMATH Keywords

Kelvin transformHeisenberg groupBrownian bridgeCayley transformDoob's h-process

Mathematics Subject Classification ID

Brownian motion (60J65) Conformal mappings of special domains (30C20) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

The subelliptic heat kernel of the octonionic Hopf fibration

Cites Work

• The subelliptic heat kernel on the CR sphere
• Le mouvement brownien sur \({\mathbb{R}}^ N\), en tant que semi-martingale dans \(S_ N\)
• A propos de l'inverse du mouvement brownien
• The subelliptic heat kernel on \(\mathbf{SU}(2)\): representations, asymptotics and gradient bounds
• Kelvin transforms and harmonic polynomials on the Heisenberg group
• Brownian motion and stereographic projection
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
• Stochastic areas, winding numbers and Hopf fibrations
• The Laplacian and the Kohn Laplacian for the sphere
• Differential geometry and analysis on CR manifolds

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