Infinite Ergodic Theory of Numbers

Marc Kesseböhmer, Sara Munday, Bernd Otto Stratmann

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English

De Gruyter
10 October 2016

Number theory; Calculus & mathematical analysis

Series: De Gruyter Textbook

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

By: Marc Kesseböhmer, Sara Munday, Bernd Otto Stratmann
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 387g
ISBN: 9783110439410
ISBN 10: 3110439417
Series: De Gruyter Textbook
Pages: 204
Publication Date: 10 October 2016
Audience: College/higher education , Primary , Primary
Format: Paperback
Publisher's Status: Active

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

Reviews for Infinite Ergodic Theory of Numbers

"""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"