Dynamical Systems of Algebraic Origin

By:

Klaus Schmidt

Format:

Paperback / softback

Series:

Modern Birkhauser Classics

Show Hide Adult Content

$137.99

Available from supplier

Usually ships in 3-4 weeks

0 in Trolley

Price Match

Wrap this item as a gift ($5.90) - add a free gift card on the next page

Buy Now, Pay Later with:

4 payments of $34.50 with Afterpay Learn more

Availability

Delivering to:

Estimated arrival:

Around 13-25 June using International Courier

Description

Although much of classical ergodic theory is concerned with single transformations and one-parameter flows, the subject inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with multidimensional symmetry groups. However, the wealth of concrete and natural examples which has contributed so much to the appeal and development of classical dynamics, is noticeably absent in this more general theory. The purpose of this book is to help remedy this scarcity of explicit examples by introducing a class of continuous Zd-actions diverse enough to exhibit many of the new phenomena encountered in the transition from Z to Zd, but which nevertheless lends itself to systematic study: the Zd-actions by automorphisms of compact, abelian groups. One aspect of these actions, not surprising in itself but quite striking in its extent and depth nonetheless, is the connection with commutative algebra and arithmetical algebraic geometry. The algebraic framework resulting from this connection allows the construction of examples with a variety of specified dynamical properties, and by combining algebraic and dynamical tools one obtains a quite detailed understanding of this class of Zd-actions.

Author Biography:

Klaus Schmidt is a Professor of Mathematics at the University of Vienna, Austria.

Release date Australia

January 5th, 2012

Author

Klaus Schmidt

Audience

Professional & Vocational

Illustrations

1 Illustrations, black and white; XVIII, 310 p. 1 illus.

Pages

310

Series

Modern Birkhauser Classics

Dimensions

156x234x17

ISBN-13

9783034802765

Product ID

19107947

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here