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On the Stable Basin Theorem

Published online by Cambridge University Press:  20 November 2018

John R. Parker
John R. Parker*
Affiliation:
Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, England, e-mail: j.r.parker@durham.ac.uk
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Abstract

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The stable basin theorem was introduced by Basmajian and Miner as a key step in their necessary condition for the discreteness of a non-elementary group of complex hyperbolic isometries. In this paper we improve several of Basmajian and Miner’s key estimates and so give a substantial improvement on the main inequality in the stable basin theorem.

Keywords

22E4020H1057S30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 3 , 01 September 2004 , pp. 439 - 444
Copyright
Copyright © Canadian Mathematical Society 2004

References

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