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商品詳細
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics: CIRM Jean-Morlet Chair, Fall 2016. 2018 ed.
・ISBN 978-3-319-74907-5 paper EUR 69.99
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| 著者・編者 | Ferenczi, Sebastien / Kulaga-Przymus, Joanna / Lemanczyk, Mariusz (eds.), |
|---|---|
| シリーズ | (Lecture Notes in Mathematics) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 434 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A02-70014＞ |
解説
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 Moebius 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.