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arXiv:1311.5361 [math.DS]AbstractReferencesReviewsResources

On the Hausdorff dimension of the Rauzy gasket

Artur Avila, Pascal Hubert, Alexandra Skripchenko

Published 2013-11-21, updated 2014-08-26Version 2

In this paper, we prove that the Hausdorff dimension of the Rauzy gasket is less than 2. By this result, we answer a question addressed by Pierre Arnoux. Also, this question is a very particular case of the conjecture stated by S.P. Novikov and A. Ya. Maltsev in 2003.

Comments: 17 pages, 4 figures
Categories: math.DS
Subjects: 37E05, 37E35
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