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Beskrivning
Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research.
Boris Hasselblatt: Preface.- Boris Hasselblatt: Introduction to Hyperbolic Dynamics and Ergodic Theory.- Jacques Hadamard: On iteration and asymptotic solutions of differential equations (translated by Boris Hasselblatt).- Barbara Schapira: Dynamics of Geodesic and Horocyclic Flows.- Keith Burns, Howard Masur, Amie Wilkinson: Ergodicity of the Weil-Petersson Geodesic Flow.- Keith Burns, Howard Masur, Carlos Matheus and Amie Wilkinson: Ergodicity of Geodesic Flows on Incomplete Negatively Curved Manifolds.-Carlos Matheus: The Dynamics of the Weil-Petersson flow.- Jouni Parkkonen, Frédéric Paulin: A survey of some Arithmetic Applications of Ergodic Theory in Negative Curvature.