Propriétés ergodiques, en mesure infinie, de certains systèmes dynamiques fibrés. (Ergodic properties, in infinite measure, of certain fibered dynamical systems). (French) Zbl 0693.58011

Guivarc’h, Yves

Ergodic Theory Dyn. Syst. 9, No. 3, 433-453 (1989).

Summary: We study the ergodic properties of a class of dynamical systems with infinite invariant measure. This class contains skew-products of Anosov systems with \({\mathbb{R}}^ d\). The results are applied to the K-property of skew-products and also to the ergodicity of the geodesic flow on abelian coverings of compact manifolds with constant negative curvature.

MSC:

37A99	Ergodic theory
37C10	Dynamics induced by flows and semiflows

Keywords:

ergodic properties; infinite invariant measure; Anosov systems; geodesic flow

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