Infinite Ergodic Theory of Numbers

1. Auflage 2016
ISBN: 978-3-11-043941-0
Verlag: De Gruyter

Buch, Englisch, 191 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 359 g

Reihe: 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 -sum-level sets
Infinite ergodic theory
Applications of infinite ergodic theory
Bibliography
Index

Zielgruppe

Students and Lecturers of Mathematics. Researchers interested in

Autoren/Hrsg.

Kesseböhmer, Marc

Munday, Sara

Stratmann, Bernd Otto

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Stochastik

Über Autor(innen)

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