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

School of Mathematics

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

1 Scopus citations

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

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

Keywords

Geodesics
Left-invariant metrics
Lie groups
Stochastic perturbations

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10.1007/s00332-018-9446-1

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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 H{\"o}rmander condition and some properties of the solutions of the corresponding Fokker–Planck equations.",

keywords = "Geodesics, Left-invariant metrics, Lie groups, Stochastic perturbations",

author = "W. Hu and V. {\v S}ver{\'a}k",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

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AU - Šverák, V.

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N2 - 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.

AB - 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.

KW - Geodesics

KW - Left-invariant metrics

KW - Lie groups

KW - 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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