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Ergodic Theory: With a View Towards Number Theory

Ergodic Theory: With a View Towards Number Theory

Hardcover

Series: Graduate Texts in Mathematics, Book 259

General Mathematics

ISBN10: 0857290207
ISBN13: 9780857290205
Publisher: Springer
Published: Sep 23 2010
Pages: 481
Weight: 1.92
Height: 1.06 Width: 6.14 Depth: 9.21
Language: English
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

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