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The Hausdorff dimension of the limit sets of infinitely generated Kleinian groups

Published online by Cambridge University Press:  01 January 2000

KATSUHIKO MATSUZAKI
KATSUHIKO MATSUZAKI
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1109, U.S.A. Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, Tokyo 112, Japan; e-mail: [email protected]
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Abstract

In this paper we investigate the Hausdorff dimension of the limit set of an infinitely generated discrete subgroup of hyperbolic isometries and obtain conditions for the limit set to have full dimension.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 1 , January 2000 , pp. 123 - 139
Copyright
The Cambridge Philosophical Society 2000

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