Ergodic theory and dynamical systems in their interactions with arithmetics and combinatorics : CIRM Jean-Morlet Chair, fall 2016 / Sébastien Ferenczi, Joanna Kułaga-Przymus, Mariusz Lemańczyk, editors

Auteur secondaire : Ferenczi, Sébastien, 1958-, Editeur scientifique • Kułaga-Przymus, Joanna, 1985-, Editeur scientifique • Lemańczyk, Mariusz, 1958-, Editeur scientifiqueType de document : MonographieCollection : Lecture notes in mathematics, 2213Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, 2018Description : 1 vol. (XIV-431 p.) : ill. ; 24 cmISBN: 9783319749075.ISSN: 0075-8434.Bibliographie : Bibliogr. en fin de contributions.Sujet MSC : 37A44, Ergodic theory, Relations between ergodic theory and number theory
37-06, Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory
11A25, Elementary number theory, Arithmetic functions; related numbers; inversion formulas
11-06, Proceedings, conferences, collections, etc. pertaining to number theory
05-06, Proceedings, conferences, collections, etc. pertaining to combinatoricsEn-ligne : zbMath | MSN | Springer - sommaire
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Monographie Monographie CMI
Salle 1 		37 FER (Browse shelf(Opens below)) Available 09275-01

Joël Rivat, "Bases of analytic number theory”, 1–113.
M. Baake, "A brief guide to reversing and extended symmetries of dynamical systems”, 117–135.
M. Einsiedler and M. Luethi, "Kloosterman sums, disjointness, and equidistribution”, 137–161.
Sébastien Ferenczi, Joanna Kułaga-Przymus and Mariusz Lemańczyk, "Sarnak's conjecture: what's new”, 163–235.
Alexander Gomilko, Dominik Kwietniak and Mariusz Lemańczyk, "Sarnak's conjecture implies the Chowla conjecture along a subsequence”, 237–247.
Christian Huck, "On the logarithmic probability that a random integral ideal is A-free”, 249–258.
Carlos Matheus, "The Lagrange and Markov spectra from the dynamical point of view”, 259–291.
Olivier Ramaré, "On the missing log factor”, 293–315.
Olivier Ramaré, "Chowla's conjecture: from the Liouville function to the Moebius function”, 317–323.
Terrence Adams and Cesar E. Silva, "Weak mixing for infinite measure invertible transformations”, 327–349.
Eli Glasner and Michael Megrelishvili, "More on tame dynamical systems”, 351–392.
Kae Inoue and Hitoshi Nakada, "A piecewise rotation of the circle, IPR maps and their connection with translation surfaces”, 393–431

Bibliogr. en fin de contributions

Publisher’s description: 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.

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