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

W. Hu; V. Šverák

doi:10.1007/s00332-018-9446-1

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

W. Hu, V. Šverák

Mathematics

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English (US)
Pages (from-to)	2249-2274
Number of pages	26
Journal	Journal of Nonlinear Science
Volume	28
Issue number	6
DOIs	https://doi.org/10.1007/s00332-018-9446-1
State	Published - Dec 1 2018

Bibliographical note

Funding Information:
Acknowledgements We thank Jonathan Mattingly for an illuminating discussion. We also thank the referees for their very helpful comments, which were important for improving the original version of the article. The research was supported in part by Grants DMS 1362467 and DMS 1159376 from the National Science Foundation.

Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Geodesics
Left-invariant metrics
Lie groups
Stochastic perturbations

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

Abstract

Bibliographical note

Keywords

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