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arXiv:1607.07339 [math.DS]AbstractReferencesReviewsResources

Chaotic and Topological Properties of Continued Fractions

Weibin Liu, Bing Li

Published 2016-07-25Version 1

We prove that there exists a scrambled set for the Gauss map with full Hausdorff dimension. Meanwhile, we also investigate the topological properties of the sets of points with dense or non-dense orbits.

Comments: 10 pages, 1 figure
Categories: math.DS
Subjects: 11A55, 37F35, 74H65
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