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The ergodic theory of discrete groups

Author: Peter J Nicholls
Publisher: Cambridge [England] ; New York : Cambridge University Press, 1989.
Series: London Mathematical Society lecture note series, 143.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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. The ergodic theory of discrete groups has become a  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Nicholls, Peter J.
Ergodic theory of discrete groups.
Cambridge [England] ; New York : Cambridge University Press, 1989
(DLC) 89036118
(OCoLC)20012347
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter J Nicholls
ISBN: 9781107361577 1107361575 9780511892448 0511892446
OCLC Number: 839304809
Description: 1 online resource (xi, 221 pages) : illustrations.
Contents: 1. Preliminaries; 2. The limit set; 3. A measure of the limit set; 4. Conformal densities; 5. Hyperbolically harmonic functions; 6. The sphere at infinity; 7. Elementary ergodic theory; 8. The geodesic flow; 9. Geometrically finite groups; 10. Fuchsian groups.
Series Title: London Mathematical Society lecture note series, 143.
Responsibility: Peter J. Nicholls.
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Abstract:

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  Read more...

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