Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics : CIRM Jean-Morlet Chair, Fall 2016, Paperback / softback Book

Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics : CIRM Jean-Morlet Chair, Fall 2016 Paperback / softback

Edited by Sebastien Ferenczi, Joanna Kulaga-Przymus, Mariusz Lemanczyk

Part of the Lecture Notes in Mathematics series

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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 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.

Information

  • Format: Paperback / softback
  • Pages: 434 pages, 8 Illustrations, color; 223 Illustrations, black and white; IV, 434 p. 231 illus., 8 illu
  • Publisher: Springer International Publishing AG
  • Publication Date:
  • Category: Number theory
  • ISBN: 9783319749075

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