Infinite Ergodic Theory of Numbers
Oct 2016 · Walter de Gruyter GmbH & Co KG
Ebook
204
Pages
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About this ebook
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
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 fractio...
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About the author
Sara Munday, University of Bologna, Italy;
Marc Kesseböhmer and Bernd Stratmann, University of Bremen, Germany.
Sara Munday, University of Bologna, Italy;
Marc Kesseböhmer and Bernd Stratmann, University of Bremen, Germany.
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