Kesseböhmer, Marc / Munday, Sara / Stratmann, Bernd Otto
Infinite Ergodic Theory of Numbers
Series:De Gruyter Textbook
- 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.
Aims and Scope
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.
Number-theoretical dynamical systems
Basic ergodic theory
Renewal theory and α-sum-level sets
Infinite ergodic theory
Applications of infinite ergodic theory
- xiii, 191 pages
- 15 Fig.
- Type of Publication:
MARC recordMARC record for eBook
"The book is carefully written and covers an unconventional but attractive range of topics. There are a large number of exercises throughout, and this would provide the basis for an interesting reading or seminar course for students with some background in measure theory and analysis."
Thomas Ward in: Mathematical Review Clippings 7/2017, p. 1-2