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.
