Infinite Ergodic Theory of Numbers (De Gruyter Textbook)

by Marc Kessebohmer, Sara Munday, and Bernd Otto Stratmann

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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 -sum-level sets
Infinite ergodic theory
Applications of infinite ergodic theory
Bibliography
Index
  • ISBN10 3110439425
  • ISBN13 9783110439427
  • Publish Date 10 October 2016
  • Publish Status Active
  • Publish Country DE
  • Imprint De Gruyter