A note on Myrberg points and ergodicity
- Autores: K. Falk
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 96, Nº 1, 2005, págs. 107-116
- Idioma: inglés
- Enlaces
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Resumen
The main purpose of this note is to further clarify the strong relationship between ergodicity and Myrberg type dynamics in hyperbolic manifolds. This is achieved mainly via a new suggestive proof of the fact that the Myrberg limit set of a Kleinian group is of full Patterson measure if the geodesic flow on the associated hyperbolic manifold is ergodic with respect to the Patterson-Sullivan measure.
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