9 citations · 27 across the 8 of their papers we have counts for
9 papers
A cyclotomic family of thin hypergeometric monodromy groups in
Simion Filip, Charles Fougeron
We exhibit an infinite family of discrete subgroups of which have a number of remarkable properties. Our results are established by showing that each group play…
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…
Parabolic degrees and Lyapunov exponents for hypergeometric local systems
Charles Fougeron
Consider the flat bundle on corresponding to solutions of the hypergeometric differential equation $ \prod_{i=1}^h (\mathrm D - α_i) - z \prod_{j=…
Cascades in the dynamics of affine interval exchange transformations
Adrien Boulanger, Charles Fougeron, Selim Ghazouani
We describe in this article the dynamics of a -parameter family of affine interval exchange transformations. It amounts to studying the directional foliations of a particular af…
Lyapunov exponents of the Hodge bundle over strata of quadratic differentials with large number of poles
Charles Fougeron
We show an upper bound for the sum of positive Lyapunov exponents of any Teichmüller curve in strata of quadratic differentials with at least one zero of large multiplicity. As a c…
Affine surfaces and their Veech groups
Eduard Duryev, Charles Fougeron, Selim Ghazouani
We introduce a class of objects which we call 'affine surfaces'. These provide families of foliations on surfaces whose dynamics we are interested in. We present and analyze a coup…