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Titlebook: Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics; CIRM Jean-Morlet Cha Sébastien Ferenczi,Joan

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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Titlebook: Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics; CIRM Jean-Morlet Cha Sébastien Ferenczi,Joan
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
doihttps://doi.org/10.1007/978-3-319-74908-2
isbn_softcover978-3-319-74907-5
isbn_ebook978-3-319-74908-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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0075-8434 theory accessible to undergraduate students.Offers a clear pThis 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, presen
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https://doi.org/10.1007/978-981-15-3761-5 full automorphism group of the shift space. We recall the basic notions and review some of the known results, in a fairly informal manner, to give a first impression of the phenomena that can show up in the extension from the centraliser to the normaliser, with some emphasis on recent developments.
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A Brief Guide to Reversing and Extended Symmetries of Dynamical Systemsle homeomorphism on a topological space. While it is traditionally considered in nonlinear dynamics, where the space is simple but the map is complicated, it has an interesting counterpart in symbolic dynamics, where the map is simple but the space is not. Moreover, there is an interesting extension
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On the Logarithmic Probability That a Random Integral Ideal Is ,-Freearbitrary number fields .. More precisely, we introduce a logarithmic density for sets of integral ideals in . and provide a formula for the logarithmic density of the set of so-called .-free ideals, i.e. integral ideals that are not multiples of any ideal from a fixed set ..
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