Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
Sébastien Ferenczi, Joanna Kułaga-Przymus, Mariusz LemańczykThis 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.
Catégories:
Année:
2018
Edition:
1st ed.
Editeur::
Springer International Publishing
Langue:
english
ISBN 10:
3319749080
ISBN 13:
9783319749082
Collection:
Lecture Notes in Mathematics 2213
Fichier:
PDF, 6.63 MB
IPFS:
,
english, 2018
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