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The central limit theorem for current-valued processes induced by geodesic flows

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Publication:916199
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zbMath0703.60019MaRDI QIDQ916199

Shojiro Manabe, Yoko Ochi

Publication date: 1989

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

compact Riemannian manifoldsgeodesic flowscentral limit theorem


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamics induced by flows and semiflows (37C10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)


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Random perturbation to the geodesic equation ⋮ Limits of random differential equations on manifolds ⋮ Dynamical 𝐿-functions and homology of closed orbits ⋮ A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients ⋮ Brownian and fractional Brownian stochastic currents via Malliavin calculus ⋮ Closed orbits in homology classes




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