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The linear escape limit set

Author: Christopher J. Bishop
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 1385-1388
MSC (2000): Primary 30F35
Published electronically: December 5, 2003
MathSciNet review: 2053343
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Abstract | References | Similar Articles | Additional Information

Abstract: If $G$ is any Kleinian group, we show that the dimension of the limit set $\Lambda$ is always equal to either the dimension of the bounded geodesics or the dimension of the geodesics that escape to infinity at linear speed.

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Additional Information

Christopher J. Bishop
Affiliation: Mathematics Department, SUNY at Stony Brook, Stony Brook, New York 11794-3651

Keywords: Hausdorff dimension, quasi-Fuchsian groups, quasiconformal deformation, critical exponent, convex core
Received by editor(s): May 22, 2002
Received by editor(s) in revised form: October 30, 2002
Published electronically: December 5, 2003
Additional Notes: The author was partially supported by NSF Grant DMS 0103626
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2003 American Mathematical Society

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