Lyapunov Exponents for a Stochastic Analogue of the Geodesic Flow

DOI10.2307/2000147zbMath0593.58048OpenAlexW4247005974MaRDI QIDQ3723390

Andrew P. Carverhill, K. David Elworthy

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000147

zbMATH Keywords

stochastic differential equationsLyapunov exponentsRiemannian manifolds

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes and stochastic analysis on manifolds (58J65) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

The Brownian Motion and the Canonical Stochastic Flow on a Symmetric Space ⋮ Entropies for Negatively Curved Manifolds ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces

Cites Work

• A proof of Oseledec's multiplicative ergodic theorem
• The Dirichlet problem at infinity for a negatively curved manifold
• Asymptotic behaviour of stochastic flows of diffeomorphisms: Two case studies
• A multiplicative ergodic theorem for random transformations
• Ergodic theory of differentiable dynamical systems
• Flows of stochastic dynamical systems: The functional analytic approach
• A formula for the lyapunov numbers of a stochastic flow. application to a perturbation theorem
• On Automorphisms of A Kählerian Structure
• Flows of stochastic dynamical systems: ergodic theory
• Nonattainability of a Set by a Diffusion Process
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