Ergodic Theory

with a view towards Number Theory

Thomas Ward, Manfred Leopold Einsiedler

481 pages, parution le 01/09/2011

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Résumé

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.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Thomas Ward, Manfred Leopold Einsiedler
Parution	01/09/2011
Nb. de pages	481
Couverture	Broché
Poids	850g
Intérieur	Noir et Blanc
EAN13	9780857290205