Infinite Ergodic Theory of Numbers
| AUTHOR | Kessebhmer, Marc; Stratmann, Bernd Otto; Munday, Sara |
| PUBLISHER | de Gruyter (10/10/2016) |
| PRODUCT TYPE | Paperback (Paperback) |
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 ?-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 fractions and other number-theoretic dynamical systems as illustrative examples.
Contents:
Preface
Mathematical symbols
Number-theoretical dynamical systems
Basic ergodic theory
Renewal theory and ?-sum-level sets
Infinite ergodic theory
Applications of infinite ergodic theory
Bibliography
Index
