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.