Ergodic Theory: With a View Towards Number Theory

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

Author: Manfred Einsiedler, Thomas Ward
Publisher: Springer
Published: 09/23/2010
Pages: 481
Binding Type: Hardcover
Weight: 1.92lbs
Size: 9.21h x 6.14w x 1.06d
ISBN: 9780857290205