Ergodic theory and dynamical systems in their interactions with arithmetics and combinatorics : Cirm Jean-Morlet chair, fall 2016
Ergodic theory and dynamical systems in their interactions with arithmetics and combinatorics : Cirm Jean-Morlet chair, fall 2016
- New York, NY : Springer Berlin Heidelberg, 2018.
- xiv, 431 pages : illustrations (231 b/w illustrations)
- Lecture notes in mathematics, 2213 0075-8434 ; .
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.
9783319749075
Ergodic theory
Number theory
Analytic number theory
Sarnak's conjecture
Chowla's conjecture
Homogenous dynamics
Lagrange spectrum
Moebius disjointness
511.2 / FER-E
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.
9783319749075
Ergodic theory
Number theory
Analytic number theory
Sarnak's conjecture
Chowla's conjecture
Homogenous dynamics
Lagrange spectrum
Moebius disjointness
511.2 / FER-E
