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

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Ferenczi, Sébastien (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Kułaga-Przymus, Joanna (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Lemańczyk, Mariusz (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Lecture Notes in Mathematics, 2213
• Θέματα: Dynamics.; Ergodic theory.; Number theory.; Combinatorics.; Geometry.; Dynamical Systems and Ergodic Theory.; Number Theory.
• Φυσική περιγραφή: IV, 434 p. 231 illus., 8 illus. in color. online resource.
• ISBN: 9783319749082
• ISSN: 0075-8434 ;
• DOI: 10.1007/978-3-319-74908-2

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.