书目名称 | Ergodic Theory, Hyperbolic Dynamics and Dimension Theory | 编辑 | Luis Barreira | 视频video | | 概述 | Self-contained introduction to three main areas of current research.Primarily intended for graduate students as well as researchers and useful as a self-study guide.Gives a unified perspective of mate | 丛书名称 | Universitext | 图书封面 |  | 描述 | .Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic notions of the first two topics and ends with a sufficiently high-level introduction to the third. Furthermore, it includes an introduction to the thermodynamic formalism, which is an important tool in dimension theory. .The volume is primarily intended for graduate students interested in dynamical systems, as well as researchers in other areas who wish to learn about ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics at an intermediate level in a sufficiently detailed manner. In particular, it can be used as a basis for graduate courses on any of these three subjects. The text can also be used for self-study: it is self-contained, and with the exception of some well-known basic facts from other areas, all statements include detailed proofs.. | 出版日期 | Textbook 2012 | 关键词 | 37AXX, 37DXX, 37C45; dimension theory; entropy theory; ergodic theory; hyperbolic dynamics; thermodynamic | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-28090-0 | isbn_softcover | 978-3-642-28089-4 | isbn_ebook | 978-3-642-28090-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | issn_series | 0172-5939 | copyright | Springer-Verlag Berlin Heidelberg 2012 |
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