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.
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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