Infinite Ergodic Theory of Numbers

By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions...

Ausführliche Beschreibung

Gespeichert in:
1. Verfasser:
Kesseböhmer, Marc
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Berlin ; Boston De Gruyter [2016]
Zusammenfassung:
By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions and other number-theoretic dynamical systems as illustrative examples. Contents:PrefaceMathematical symbolsNumber-theoretical dynamical systemsBasic ergodic theoryRenewal theory and α-sum-level setsInfinite ergodic theoryApplications of infinite ergodic theoryBibliographyIndex
Umfang:
1 online resource (204 p.)
Schriftenreihe:
De Gruyter Textbook
ISBN:
9783110439427
DOI:
10.1515/9783110439427
Schlagworte:
Differentiable dynamical systems
Ergodic theory
Topological dynamics
Ergodentheorie
Zahlentheorie
MATHEMATICS / Number Theory
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