Lyapunov exponents for a stochastic analogue of the geodesic flow
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- by A. P. Carverhill and K. D. Elworthy PDF
- Trans. Amer. Math. Soc. 295 (1986), 85-105 Request permission
Abstract:
New invariants for a Riemannian manifold are defined as Lyapunov exponents of a stochastic analogue of the geodesic flow. A lower bound is given reminiscent of corresponding results for the geodesic flow, and an upper bound is given for surfaces of positive curvature. For surfaces of constant negative curvature a direct method via the Doob $h$-transform is used to determine the full Lyapunov structure relating the stable manifolds to the horocycles.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 295 (1986), 85-105
- MSC: Primary 58G32; Secondary 58F11, 60H10
- DOI: https://doi.org/10.1090/S0002-9947-1986-0831190-1
- MathSciNet review: 831190