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On the Hausdorff dimension of the Rauzy gasket (1311.5361v3)
Published 21 Nov 2013 in math.DS
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.