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2013-11-21
On the Hausdorff dimension of the Rauzy gasket
Artur AvilaPascal HubertAlexandra Skripchenko
文献摘要
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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