Let (GAMMA) be a discrete group of hyperbolic isometries having a fundamental polygon with finitely many sides and no cusps. We show that the associated horocycle flow admits just one ergodic measure which is not concentrated on a single orbit. We use ergodicity of this measure to calculate the ratio set of the Patterson measure of (GAMMA).
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.71916 |
| Date | January 1983 |
| Creators | Kenny, Patrick J. |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (Department of Mathematics and Statistics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 000192534, proquestno: AAINK66658, Theses scanned by UMI/ProQuest. |
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