Higgens, Thomas (2004) Classicalness and the Hausdorff dimension of limit sets of divergent sequences of genus two Schottky Groups. University of Southampton, Doctoral Thesis.
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Thesis
(Doctoral)
Abstract
We use Patterson-Sullivan Theory to show that there is a universal lower bound on the Hausdorff dimension of a genus two non-classical Schottky group. This provides a partial complement to the question by Schottky, that was answered by Doyle, that states that there is a universal upper bound on the Hausdorff dimension of a classical Schottky group.
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Published date: 2004
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Local EPrints ID: 466028
URI: http://eprints.soton.ac.uk/id/eprint/466028
PURE UUID: 59397cfc-df05-45d7-8315-d1e1b274e567
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Date deposited: 05 Jul 2022 04:02
Last modified: 16 Mar 2024 20:28
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Author:
Thomas Higgens
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