Infinite Ergodic Theory of Numbers

Infinite Ergodic Theory of Numbers

  • Marc Kesseböhmer
  • Sara Munday
  • Bernd Otto Stratmann
Publisher:Walter de Gruyter GmbH & Co KGISBN 13: 9783110430851ISBN 10: 3110430851

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Infinite Ergodic Theory of Numbers is written by Marc Kesseböhmer and published by Walter de Gruyter GmbH & Co KG. It's available with International Standard Book Number or ISBN identification 3110430851 (ISBN 10) and 9783110430851 (ISBN 13).

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