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
General
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