3 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
A note on double rotations of infinite type
Mauro Artigiani, Charles Fougeron, Pascal Hubert +1
We introduce a new renormalization procedure on double rotations, which is reminiscent of the classical Rauzy induction. Using this renormalization we prove that the set of paramet…
Dynamical systems around the Rauzy gasket and their ergodic properties
Ivan Dynnikov, Pascal Hubert, Alexandra Skripchenko
At the beggining of the 80's, H.Masur and W.Veech started the study of generic properties of interval exchange transformations proving that almost every such transformation is uniq…
Cohomological equations for linear involutions
Erwan Lanneau, Stefano Marmi, Alexandra Skripchenko
In the current note we extend results by Marmi, Moussa and Yoccoz about cohomological equations for interval exchange transformations to irreducible linear involutions.
Simplicity of spectrum for certain multidimensional continued fraction algorithms
Charles Fougeron, Alexandra Skripchenko
In the current paper we prove simplicity for the spectrum of Lyapunov exponents for triangle sequence and Selmer algorithm in dimension 3. We introduce a strategy that can be appli…