Infinite Ergodic Theory of Numbers
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| Title: | Infinite Ergodic Theory of Numbers |
|---|---|
| Description: | 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 |
| Authors: | Marc Kesseböhmer, Sara Munday, Bernd Otto Stratmann |
| Resource Type: | eBook. |
| Subjects: | Topological dynamics, Ergodic theory, Differentiable dynamical systems |
| Categories: | MATHEMATICS / Number Theory, MATHEMATICS / Differential Equations / General, MATHEMATICS / Mathematical Analysis |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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 |
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| ISBN: | 9783110439410 9783110439427 9783110430851 |
