Embedded continued fractals and their Hausdorff dimension |
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| Authors: | J Harrison |
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| Institution: | 1. Department of Mathematics, University of California, 94720, Berkeley, California, USA
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| Abstract: | A continued fractal
is a curve which is associated to a real number  0, 1]. Properties of the continued fraction expansion of appear as geometrical properties ofQ
. It is shown how number theoretic properties of affect topological and geometric properties ofQ
such as existence, continuity, Hausdorff dimension, and embeddedness.Communicated by Michael F. Barnsley. |
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| Keywords: | AMS classification" target="_blank">AMS classification 11A55 28A05 |
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