Ergodic Theory: With a View Towards Number Theory

by Thomas Ward and Manfred Einsiedler

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...

• Format: Hardcover
• Language: English
• ISBN: 0857290207
• ISBN13: 9780857290205
• Release Date: September 2010
• Publisher: Springer
• Length: 481 Pages
• Weight: 1.92 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"