40 citations · 84 across the 16 of their papers we have counts for
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math.DS2013
On the Hausdorff dimension of the Rauzy gasket
Artur Avila, Pascal Hubert, Alexandra Skripchenko
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 v…
math.DS2013★ 1 cited
Polygonal billiards with one side scattering
Alexandra Skripchenko, Serge Troubetzkoy
We study polygonal billiards with one-sided vertical mirror scattered on a square billiard table. We associate trajectories of these kinds of billiards with double rotations and st…