40 citations · 84 across the 16 of their papers we have counts for
3 papers · 1 filter
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…
On typical leaves of a measured foliated 2-complex of thin type
Ivan Dynnikov, Alexandra Skripchenko
It is known that all but finitely many leaves of a measured foliated 2-complex of thin type are quasi-isometric to an infinite tree with at most two topological ends. We show that…
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…