Infinite Ergodic Theory of Numbers (De Gruyter Textbook) by Marc Kessebohmer and Sara Munday
English | 2016 | ISBN: 3110439417 | 191 pages | PDF | 2,3 MB

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.