| 书目名称 | Ergodic Theory | | 副标题 | with a view towards | | 编辑 | Manfred Einsiedler,Thomas Ward | | 视频video | | | 概述 | With a rigorous development of basic ergodic theory and homogeneous dynamics, no background in Ergodic theory or Lie theory is assumed Offers both complete and motivated treatments of Weyl and Szemere | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | .This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence..Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl‘s polynomial equidistribution theorem, the ergodic proof of Szemeredi‘s theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits..Ergodic Theory with a view towards Number Theory. will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory. | | 出版日期 | Textbook 2011 | | 关键词 | Ergodic theory; Homogenous spaces; Measure rigidity; Number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-85729-021-2 | | isbn_softcover | 978-1-4471-2591-4 | | isbn_ebook | 978-0-85729-021-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag London Limited 2011 |
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发表于 2025-3-21 19:31:12
