Infinite Ergodic Theory of Numbers
Marc Kesseböhmer, Sara Munday, Bernd Otto StratmannBy 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
- A unique coverage of the relation between infinite ergodic theory and number theory.
- Example solutions to select exercises included in the appendix.
- Useful for a course serving master (and advanced bachelor) and PhD students.
Kategorije:
Godina:
2016
Izdavač:
De Gruyter
Jezik:
english
Strane:
204
ISBN 10:
3110439425
ISBN 13:
9783110439427
Fajl:
PDF, 1.36 MB
IPFS:
,
english, 2016