Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics
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.
Recommended Citation
W. Hu and V. Sverak, "Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics," Journal of Nonlinear Science, vol. 28, no. 6, pp. 2249 - 2274, Springer New York LLC, Dec 2018.
The definitive version is available at https://doi.org/10.1007/s00332-018-9446-1
Department(s)
Mathematics and Statistics
Keywords and Phrases
Geodesics; Left-invariant metrics; Lie groups; Stochastic perturbations
International Standard Serial Number (ISSN)
0938-8974; 1432-1467
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2018 Springer New York LLC, All rights reserved.
Publication Date
01 Dec 2018
Comments
The research was supported in part by Grants DMS 1362467 and DMS 1159376 from the National Science Foundation.