The Ergodic Theory of Discrete Groups

The Ergodic Theory of Discrete Groups

by Peter J. Nicholls
     
 

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.See more details below

Overview

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.

Product Details

ISBN-13:
9780521376747
Publisher:
Cambridge University Press
Publication date:
02/28/2008
Series:
London Mathematical Society Lecture Note Series, #143
Pages:
236
Product dimensions:
5.98(w) x 8.98(h) x 0.55(d)

Table of 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.

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