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The Ergodic Theory of Discrete Groups : London Mathematical Society Lecture Notes - Peter J. Nicholls

The Ergodic Theory of Discrete Groups

London Mathematical Society Lecture Notes

Paperback Published: 16th October 1989
ISBN: 9780521376747
Number Of Pages: 236

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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. The ergodic theory of discrete groups has become a substantial field of mathematical research in its own right, 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.

The limit set
A measure of the limit set
Conformal densities
Hyperbolically harmonic functions
The sphere at infinity
Elementary ergodic theory
The geodesic flow
Geometrically finite groups
Fuchsian groups.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521376747
ISBN-10: 0521376742
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 236
Published: 16th October 1989
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.37
Weight (kg): 0.35