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Infinite Ergodic Theory of Numbers

Marc Kesseböhmer, Sara Munday, Bernd Otto Stratmann (Autoren)

Buch | Softcover

XIII, 191 Seiten

2016
De Gruyter (Verlag)
978-3-11-043941-0 (ISBN)

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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:PrefaceMathematical symbolsNumber-theoretical dynamical systemsBasic ergodic theoryRenewal theory and α-sum-level setsInfinite ergodic theoryApplications of infinite ergodic theoryBibliographyIndex

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

"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

Erscheinungsdatum	01.10.2016
Reihe/Serie	De Gruyter Textbook
Zusatzinfo	13 b/w ill.
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	376 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Schlagworte	Algebra and Number Theory • COPD • Differentiable dynamical systems • Differential Equations • Differential Equations and Dynamical Systems • Ergodentheorie • ergodic theory • Mathematical Analysis • Mathematics • Mathematik • Number Theory • Panos • Primer • Topological Dynamics • Zahlentheorie
ISBN-10	3-11-043941-7 / 3110439417
ISBN-13	978-3-11-043941-0 / 9783110439410
Zustand	Neuware