Ergodic Theory : with a view towards Number Theory
Manfred. Einsiedler
Bok Engelsk 2011 · Electronic books.
Annen tittel | |
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Utgitt | London : Springer , 2011
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Omfang | 1 online resource (486 p.)
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Opplysninger | Description based upon print version of record.. - 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.. - With a rigorous development of basic ergodic theory and homogeneous dynamics, no background in Ergodic theory or Lie theory is assumed Offers both complete and motivated treatments of Weyl and Szemeredi theorems Provides a number of exercises and hints to problems
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ISBN | 9780857290205
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