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arXiv · 1311.5361

On the Hausdorff dimension of the Rauzy gasket

Artur Avila·Pascal Hubert·Alexandra Skripchenko
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Abstract

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.

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Artur Avila, Pascal Hubert, Alexandra Skripchenko. 2015-04-24. On the Hausdorff dimension of the Rauzy gasket. https://arxiv.org/abs/1311.5361

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