Infinite Ergodic Theory of Numbers
| By: | Marc Kesseböhmer; Sara Munday; Bernd Otto Stratmann |
| Publisher: | De Gruyter |
| Print ISBN: | 9783110439410 |
| eText ISBN: | 9783110430851 |
| Edition: | 1 |
| Copyright: | 2016 |
| Format: | Reflowable |
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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 α-sum-level sets Infinite ergodic theory Applications of infinite ergodic theory Bibliography Index