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Lecture Notes in Mathematics CIRM Jean-Morlet Chair Subseries

Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics

CIRM Jean-Morlet Chair, Fall 2016

Editors: Ferenczi, Sébastien, Kulaga-Przymus, Joanna, Lemańczyk, Mariusz (Eds.)

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  • 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 presentation of the interaction of modern dynamics with number theory and combinatorics

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eBook 53,54 €
price for France (gross)
  • ISBN 978-3-319-74908-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 68,56 €
price for France (gross)
  • ISBN 978-3-319-74907-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (19 chapters)

Table of contents (19 chapters)

Buy this book

eBook 53,54 €
price for France (gross)
  • ISBN 978-3-319-74908-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 68,56 €
price for France (gross)
  • ISBN 978-3-319-74907-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
Book Subtitle
CIRM Jean-Morlet Chair, Fall 2016
Editors
  • Sébastien Ferenczi
  • Joanna Kulaga-Przymus
  • Mariusz Lemańczyk
Series Title
Lecture Notes in Mathematics
Series Volume
2213
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-74908-2
DOI
10.1007/978-3-319-74908-2
Softcover ISBN
978-3-319-74907-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
IV, 434
Number of Illustrations
223 b/w illustrations, 8 illustrations in colour
Topics