Ergodic theory and dynamical systems in their interactions with arithmetics and combinatorics : Cirm Jean-Morlet chair, fall 2016

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Material type: Text

TextSeries: Lecture notes in mathematics ; 2213Publication details: New York, NY : Springer Berlin Heidelberg, 2018.Description: xiv, 431 pages : illustrations (231 b/w illustrations)ISBN:

9783319749075

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DDC classification:

511.2 FER-E

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Summary: 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.

List(s) this item appears in: Mathematics

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Book	NISER LIBRARY	511.2 FER-E (Browse shelf(Opens below))	Available	25753

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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.

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