Article
Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics
Journal of Nonlinear Science
Abstract
We consider stochastic perturbations of geodesic flow for left-invariant metrics on finite-dimensional Lie groups and study the Hörmander condition and some properties of the solutions of the corresponding Fokker-Planck equations.
Department(s)
Mathematics and Statistics
Comments
The research was supported in part by Grants DMS 1362467 and DMS 1159376 from the National Science Foundation.
Keywords and Phrases
- Geodesics,
- Left-invariant metrics,
- Lie groups,
- Stochastic perturbations
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2018 Springer New York LLC, All rights reserved.
Publication Date
12-1-2018
Publication Date
01 Dec 2018
Disciplines
Citation Information
Wenqing Hu and V. Sverak. "Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics" Journal of Nonlinear Science Vol. 28 Iss. 6 (2018) p. 2249 - 2274 ISSN: 0938-8974; 1432-1467 Available at: http://works.bepress.com/wenqing-hu/16/