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 properties of simplicial systems and continued fraction algorithms
Charles Fougeron
We propose a new point of view on multidimensional continued fraction algorithms inspired by Rauzy induction. The generic behaviour of such an algorithm is described here as a rand…
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…
Diffusion rate of windtree models and Lyapunov exponents
Charles Fougeron
Consider a windtree model with several parallel arbitrary right-angled obstacles placed periodically on the plane. We show that its diffusion rate is the largest Lyapunov exponent…