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...
Main Authors: | , |
---|---|
Format: | eBook |
Language: | English |
Published: |
London
Springer London
2011, 2011
|
Edition: | 1st ed. 2011 |
Series: | Graduate Texts in Mathematics
|
Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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