Description

Book Synopsis
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.

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.

LMS 143 Ergodic Thry Discrete Grp London Mathematical Society Lecture Note Series Series Number 143

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      View other formats and editions of LMS 143 Ergodic Thry Discrete Grp London Mathematical Society Lecture Note Series Series Number 143 by Peter J. Nicholls

      Publisher: Cambridge University Press
      Publication Date: 8/17/1989 12:00:00 AM
      ISBN13: 9780521376747, 978-0521376747
      ISBN10: 0521376742
      Also in:
      Groups and group theory

      Description

      Book Synopsis
      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.

      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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