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Catalogue Information
Field name	Details
Dewey Class	515.48
Title	Ergodic Theory ([Ebook]) : with a view towards Number Theory / by Manfred Einsiedler, Thomas Ward.
Author	Einsiedler, Manfred
Added Personal Name	Ward, Thomas
Other name(s)	SpringerLink (Online service)
Publication	London : Springer , 2011.
Physical Details	XVIII, 482 pages : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 259
ISBN	9780857290212
Summary Note	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 standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.:
Contents note	Motivation -- Ergodicity, Recurrence and Mixing -- Continued Fractions -- Invariant Measures for Continuous Maps -- Conditional Measures and Algebras -- Factors and Joinings -- Furstenbergâs Proof of Szemerediâs 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.
System details note	Access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-85729-021-2
Links to Related Works	Subject References: Differentiable dynamical systems . Dynamical systems and ergodic theory . Ergodic theory . Measure and Integration . Number Theory . Authors: author . Einsiedler, Manfred . Ward, Thomas . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 515.48 . 515.39 (DDC 23) .

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Ergodic Theory: with a view towards Number Theory

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