Infinite Ergodic Theory of Numbers / / Sara Munday, Marc Kesseböhmer, Bernd Otto Stratmann.

• Superior document: Title is part of eBook package: De Gruyter DG Plus eBook-Package 2016
• VerfasserIn: Kesseböhmer, Marc,; Munday, Sara,; Stratmann, Bernd Otto,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2016]; ©2016
• Year of Publication: 2016
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (XIII, 191 p.)
• Other title: Frontmatter --; Preface --; Contents --; Mathematical symbols --; 1. Number-theoretical dynamical systems --; 2. Basic ergodic theory --; 3. Renewal theory and α-sum-level sets --; 4. Infinite ergodic theory --; 5. Applications of infinite ergodic theory --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110439427; 9783110701005; 9783110485103; 9783110485288
• DOI: 10.1515/9783110439427
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Sara Munday, Marc Kesseböhmer, Bernd Otto Stratmann.

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