Ergodic Theory - with a view towards Number Theory (Paperback, 2011 ed.)

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.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Series:	Graduate Texts in Mathematics, 259
Release date:	November 2012
First published:	2011
Authors:	Manfred Einsiedler • Thomas Ward
Dimensions:	235 x 155 x 28mm (L x W x T)
Format:	Paperback
Pages:	481
Edition:	2011 ed.
ISBN-13:	978-1-4471-2591-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Number theory > General Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
LSN:	1-4471-2591-6
Barcode:	9781447125914

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