Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics

Author

Wenqing Hu, Missouri University of Science and TechnologyFollow
V. Sverak

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

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

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