Checking atomicity of conformal ending measures for Kleinian groups

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dc.creatorFalk, Kurt
dc.creatorMatsuzaki, Katsuhiko
dc.creatorStratmann, Bernd O
dc.date2009-03-19
dc.date.accessioned2026-07-07T12:54:16Z
dc.date.available2026-07-07T12:54:16Z
dc.descriptionIn this paper we address questions of continuity and atomicity of conformal ending measures for arbitrary non-elementary Kleinian groups. We give sufficient conditions under which such ending measures are purely atomic. Moreover, we will show that if a conformal ending measure has an atom which is contained in the big horospherical limit set, then this atom has to be a parabolic fixed point. Also, we give detailed discussions of non-trivial examples for purely atomic as well as for non-atomic conformal ending measures.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0903.3332
dc.identifierhttp://arxiv.org/abs/0903.3332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223874
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject30F40; 37F99
dc.titleChecking atomicity of conformal ending measures for Kleinian groups
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