Title

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.

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

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