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Dynamics of Geodesic and Horocyclic Flows

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Ergodic Theory and Negative Curvature

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2164))

Abstract

These notes were written for lectures at CIRM in spring 2014, where I presented in a unified way classical dynamical and ergodic properties of the horocyclic flow. Therefore, the writing is unformal. I will state several results, and sketch their proofs, because my aim is to show you how deeply the ergodic properties of the horocyclic flow and the geodesic flow are related.

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Authors and Affiliations

  1. IRMAR, UMR CNRS 6625, Université Rennes 1, Rennes, France

    Barbara Schapira

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  1. Barbara Schapira
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Correspondence to Barbara Schapira .

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Editors and Affiliations

  1. Department of Mathematics, Tufts University, Medford, Massachusetts, USA

    Boris Hasselblatt

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Schapira, B. (2017). Dynamics of Geodesic and Horocyclic Flows. In: Hasselblatt, B. (eds) Ergodic Theory and Negative Curvature. Lecture Notes in Mathematics, vol 2164. Springer, Cham. https://doi.org/10.1007/978-3-319-43059-1_3

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