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: