TY  - BOOK
AU  - Ferenczi, Sébastien
AU  - Kułaga-Przymus, Joanna
AU  - Lemańczyk, Mariusz
TI  - Ergodic theory and dynamical systems in their interactions with arithmetics and combinatorics: Cirm Jean-Morlet chair, fall 2016
T2  - Lecture notes in mathematics,  
SN  - 9783319749075
U1  - 511.2 
PY  - 2018///
CY  - New York, NY
PB  - Springer Berlin Heidelberg
KW  - Ergodic theory
KW  - Number theory
KW  - Analytic number theory
KW  - Sarnak's conjecture
KW  - Chowla's conjecture
KW  - Homogenous dynamics
KW  - Lagrange spectrum
KW  - Moebius disjointness
N2  - 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
UR  - https://link.springer.com/content/pdf/bfm:978-3-319-74908-2/1
UR  - https://www.goodreads.com/book/show/70161548-ergodic-theory-and-dynamical-systems-in-their-interactions-with-arithmet?ref=nav_sb_ss_1_13#CommunityReviews
ER  -