书目名称 | Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics |
副标题 | CIRM Jean-Morlet Cha |
编辑 | Sébastien Ferenczi,Joanna Kułaga-Przymus,Mariusz L |
视频video | |
概述 | Features a unique, exhaustive list of results and methods concerning the Sarnak and Chowla conjectures.Includes a course in analytic number theory accessible to undergraduate students.Offers a clear p |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak‘s conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.. |
出版日期 | Book 2018 |
关键词 | Analytic Number Theory; Ergodic Theory; Equidistribution; Homogenous Dynamics; Lagrange Spectrum; Moebius |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-74908-2 |
isbn_softcover | 978-3-319-74907-5 |
isbn_ebook | 978-3-319-74908-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer International Publishing AG, part of Springer Nature 2018 |