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9781470470548 Academic Inspection Copy

Twisted Patterson-Sullivan Measures and Applications to Amenability andCoverings

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Remi Coulon, Universite de Bourgogne, Dijon, France. Rhiannon Dougall, Durham University, United Kingdom. Barbara Schapira, Universite de Montpellier, France. Samuel Tapie, Universite de Lorraine, Nancy, France.
1. Introduction 2. Patterson-Sullivan measures in hyperbolic spaces 3. Strongly positively recurrent actions 4. Ergodicity of the Bowen-Margulis current 5. A twisted Patterson-Sullivan measure 6. Applications to group theory 7. Comments and questions A. Integration of vector-valued functions B. Banach lattices
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