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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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: 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
Email: bishop@math.sunysb.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07095-3
PII: S 0002-9939(03)07095-3
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