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Kesseböhmer, Marc / Munday, Sara / Stratmann, Bernd Otto

Infinite Ergodic Theory of Numbers

Series:De Gruyter Textbook

    500,00 € / $700.00 / £375.99*

    eBook (PDF)
    Publication Date:
    October 2016
    Copyright year:
    2016
    ISBN
    978-3-11-043942-7
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    Overview

    • A unique coverage of the relation between infinite ergodic theory and number theory.
    • Example solutions to select exercises included in the appendix.
    • Useful for a course serving master (and advanced bachelor) and PhD students.

    Aims and Scope

    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:
    Preface
    Mathematical symbols
    Number-theoretical dynamical systems
    Basic ergodic theory
    Renewal theory and α-sum-level sets
    Infinite ergodic theory
    Applications of infinite ergodic theory
    Bibliography
    Index

    Details

    xiii, 191 pages
    15 Fig.
    Language:
    English
    Type of Publication:
    Textbook
    Keyword(s):

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    Sara Munday, University of Bologna, Italy;
    Marc Kesseböhmer and Bernd Stratmann, University of Bremen, Germany.

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