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

Infinite Ergodic Theory of Numbers

Series:De Gruyter Textbook

    500,00 € / $700.00 / £454.50*

    eBook (PDF)
    Publication Date:
    October 2016
    Copyright year:
    2016
    ISBN
    978-3-11-043942-7
    See all formats and pricing

    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):

    MARC record

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

    Reviews

    "The book is carefully written and covers an unconventional but attractive range of topics. There are a large number of exercises throughout, and this would provide the basis for an interesting reading or seminar course for students with some background in measure theory and analysis."
    Thomas Ward in: Mathematical Review Clippings 7/2017, p. 1-2

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