De Gruyter Textbook
1 total work
Infinite Ergodic Theory of Numbers
by Marc Kessebohmer, Sara Munday, and Bernd Otto Stratmann
Published 10 October 2016
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
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