Infinite Ergodic Theory of Numbers

ISBN-13: 9783110439410 / Angielski / Miękka / 2016 / 204 str.

Marc Kessebohmer;Sara Munday;Bernd Otto Stratmann

Opis

By connecting dynamical systems and number theory this graduate textbook on ergodic theory covers a highly active area of mathematics, where a variety of strands of research open up. After introducing number-theoretical dynamical systems, the text touches on foundations and renewal theory before covering infinite ergodic theory. Applications such as continued fraction expansion and sum-level sets are discussed as well.

Recenzje

"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

O autorze

Sara Munday, University of Bologna, Italy;
Marc Kesseböhmer and Bernd Stratmann, University of Bremen, Germany.