Ergodic measures for a class of horocycle flows

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 rati...

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Bibliographic Details
Main Author: Kenny, Patrick J.
Format: Others
Language:en
Published: McGill University 1983
Subjects:
Online Access:http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=71916