Infinite Ergodic Theory of Numbers

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

About the author

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

Report

"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

Product details

• Authors: Marc Kesseböhmer, Sara Munday, Bernd O. Stratmann, Bernd Ot Stratmann, Bernd Otto Stratmann
• Publisher: De Gruyter
• Languages: English
• Product format: Paperback / Softback
• Released: 08.02.2024
• EAN: 9783110439410
• ISBN: 978-3-11-043941-0
• No. of pages: 191
• Dimensions: 173 mm x 13 mm x 241 mm
• Weight: 376 g
• Illustrations: 13 b/w ill.
• Series: De Gruyter Textbook; De Gruyter Graduate
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra