Ergodic theory : with a view towards number theory
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the sta...
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| Hlavní autoři: | , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
London :
Springer London
2011.
Cham : Springer Nature |
| Edice: | Graduate Texts in Mathematics
259 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ergodic Theory, Texte imprimé, 9780857290229 • Ergodic theory, with a view towards number theory, Manfred Einsiedler, Thomas Ward, 2011, London, Springer, 1 vol. (XVII-481 p.), Graduate texts in mathematics, 978-0-85729-020-5 • Ergodic theory, with a view towards number theory, Manfred Einsiedler, Thomas Ward, 2011, London, Springer, 1 vol. (XVII-481 p.), Graduate texts in mathematics, 978-0-85729-020-5 |
Obsah:
- Motivation
- Ergodicity, Recurrence and Mixing
- Continued Fractions
- Invariant Measures for Continuous Maps
- Conditional Measures and Algebras
- Factors and Joinings
- Furstenberg's Proof of Szemeredi's Theorem
- Actions of Locally Compact Groups
- Geodesic Flow on Quotients of the Hyperbolic Plane
- Nilrotation
- More Dynamics on Quotients of the Hyperbolic Plane
- Appendix A: Measure Theory
- Appendix B: Functional Analysis
- Appendix C: Topological Groups.