On the Hausdorff dimension of the Rauzy gasket

By Artur Avila, Pascal Hubert, Alexandra Skripchenko. 2013

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/945de29c57e9911b6e77af9cfd46bbca46c087ef