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arxiv: 1510.05279 · v2 · pith:MRM36SYMnew · submitted 2015-10-18 · 🧮 math.AP

Dynamics of geodesic flows with random forcing on Lie groups with left-invariant metrics

classification 🧮 math.AP
keywords geodesicgroupsleft-invariantmetricsconditionconsidercorrespondingdynamics
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We consider stochastic perturbations of geodesic flow for left-invariant metrics on finite-dimensional Lie groups and study the H\"ormander condition and some properties of the solutions of the corresponding Fokker-Planck equations.

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