On the Hausdorff dimension of the Rauzy gasket
arXiv:1311.5361
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.
arXiv comment23 pages, 5 figures