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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Einsiedler, Manfred (Autor), Ward, Thomas (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Graduate Texts in Mathematics, 259
Temas:
Dynamical systems.
Number theory.
Measure theory.
Dynamical Systems.
Number Theory.
Measure and Integration.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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