Kesseböhmer M., Munday S., Stratmann B.O. Infinite Ergodic Theory of Numbers

Berlin: de Gruyter, 2016. — 206 p.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.