Click Here to Download: https://ouo.io/gszPxq Infinite Ergodic Theory of Numbers By: Marc Kesseböhmer; Sara Munday; Bernd Otto Stratmann Publisher: De Gruyter Print ISBN: 9783110439410, 3110439417 eText ISBN: 9783110430851, 3110430851 Edition: 1st Copyright year: 2016 Format: EPUB Available from $ 70.00 USD SKU 9783110430851 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 α-sum-level sets Infinite ergodic theory Applications of infinite ergodic theory Bibliography Index
