Overview

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

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9783110439410

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Reviews

"""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"

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

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

Author Information

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

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