Titlebook: Ergodic Theory and Negative Curvature; CIRM Jean-Morlet Cha Boris Hasselblatt Book 2017 Springer International Publishing Switzerland 2017

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https://doi.org/10.1007/978-3-319-43059-1ergodicity; hyperbolicity; geodesic flow; ergodic geometry; Weil-Petersson flow

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https://doi.org/10.1007/0-306-46887-5We explain an . (for geodesic flows on incomplete negatively curved manifolds) used by Burns–Masur–Wilkinson in their proof (Ann. Math. (2) .(2), 835–908 (2012)) of the ergodicity of the so-called Weil–Petersson (WP) flow.

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Ergodicity of Geodesic Flows on Incomplete Negatively Curved Manifolds,We explain an . (for geodesic flows on incomplete negatively curved manifolds) used by Burns–Masur–Wilkinson in their proof (Ann. Math. (2) .(2), 835–908 (2012)) of the ergodicity of the so-called Weil–Petersson (WP) flow.

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Spiros N. Agathos,Walter Reinekendependently. The first half presents the dynamics of hyperbolic sets: history, topological dynamics, ergodic theory, and invariant foliations. The second half introduces ergodic theory: ergodic theorems ergodic decomposition, recurrence, equidistribution, examples, mixing notions, correlation decay, and spectral isomorphism.

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Reinhard Renneberg,Viola Berklingergodicity of the WP flow. The text grew out of lecture notes prepared by the author for the workshop “Young mathematicians in dynamical systems” centered on the recent theorem of Burns–Masur–Wilkinson on the ergodicity of the Weil–Petersson (WP) geodesic flow.