Click Here to Download: https://ouo.io/2s1Pub Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics CIRM Jean-Morlet Chair, Fall 2016 By: Sébastien Ferenczi Publisher: Springer Print ISBN: 9783319749075, 3319749072 eText ISBN: 9783319749082, 3319749080 Copyright year: 2018 Format: EPUB Available from $ 79.99 USD SKU 9783319749082 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.
