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
About the author
Sara Munday, University of Bologna, Italy;Marc Kesseböhmer and Bernd Stratmann, University of Bremen, Germany.
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Language English ● Format EPUB ● Pages 204 ● ISBN 9783110430851 ● File size 35.7 MB ● Publisher De Gruyter ● City Berlin/Boston ● Published 2016 ● Edition 1 ● Downloadable 24 months ● Currency EUR ● ID 6585983 ● Copy protection Adobe DRM
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