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The Ergodic Theory of Discrete Groups

Posted on 2010-03-16




Name:The Ergodic Theory of Discrete Groups
ASIN/ISBN:0521376742
Language:English
File size:10.1 Mb
Publisher: Cambridge University Press
ISBN: 0521376742
Publish Date: edition 1989
File Type: PDF
Pages: 236 pages
File Size: 10,1 mb
   The Ergodic Theory of Discrete Groups

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The interaction between ergodic theory and discrete groups has a long history and much work was done in this area by Hedlund, Hopf and Myrberg in the 1930s. There has been a great resurgence of interest in the field, due in large measure to the pioneering work of Dennis Sullivan. Tools have been developed and applied with outstanding success to many deep problems. has become a substantial field of mathematical research in its own left, and it is the aim of this book to provide a rigorous introduction from first principles to some of the major aspects of the theory. The particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S. J. Patterson for Fuchsian groups, and later extended and refined by Sullivan.

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