| 书目名称 | Ergodic Theory and Negative Curvature |
| 副标题 | CIRM Jean-Morlet Cha |
| 编辑 | Boris Hasselblatt |
| 视频video | |
| 概述 | Accessible to graduate students.Provides introductions leading to the forefront of several current research areas.A broad sampling of ergodic geometry.Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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. It offers original textbook-level material suitable for introductory or advanced courses as well as deep insights into the state of the art of the field, making it useful as a reference and for self-study. . The first chapters introduce hyperbolic dynamics, ergodic theory and geodesic and horocycle flows, and include an English translation of Hadamard‘s original proof of the Stable-Manifold Theorem. An outline of the strategy, motivation and context behind the ergodicity proof is followed by a careful exposition of it (using the Hopf argument) and of the pertinent context of Teichmüller theory. Finally, some complementary lectures describe the deep connections between geodesic flows in negative curvature and Diophantine approximation.. |
| 出版日期 | Book 2017 |
| 关键词 | ergodicity; hyperbolicity; geodesic flow; ergodic geometry; Weil-Petersson flow |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-43059-1 |
| isbn_softcover | 978-3-319-43058-4 |
| isbn_ebook | 978-3-319-43059-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing Switzerland 2017 |
发表于 2025-3-21 18:20:57
