Ergodic Theory: with a view towards Number Theory (Graduate Texts in Mathematics, Vol. 259)

Einsiedler, Manfred; Ward, Thomas

ISBN 10: 0857290207 / ISBN 13: 9780857290205

Published by Springer (edition First Edition), 2010

About this Item

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Seller Inventory # 0857290207-8-1

Bibliographic Details

• Title: Ergodic Theory: with a view towards Number Theory (Graduate Texts in Mathematics, Vol. 259)
• Publisher: Springer (edition First Edition)
• Publication Date: 2010
• Language: English
• ISBN 10: 0857290207
• ISBN 13: 9780857290205
• Binding: Hardcover
• Edition: First Edition.
• Condition: Very Good

About this title

Synopsis

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.