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arxiv: 1311.5361 · v3 · pith:X3IE25M4new · submitted 2013-11-21 · 🧮 math.DS

On the Hausdorff dimension of the Rauzy gasket

Artur Avila , Pascal Hubert , Alexandra Skripchenko This is my paper
classification 🧮 math.DS
keywords dimensiongaskethausdorffquestionrauzyaddressedanswerarnoux
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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.

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