On the Hausdorff dimension of the Rauzy gasket

24 Apr 2015  ·  Avila Artur, Hubert Pascal, Skripchenko Alexandra ·

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. read more

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Dynamical Systems