40 citations · 84 across the 16 of their papers we have counts for
18 papers
Typical Weak Mixing and Exceptional Spectral Properties for Interval Translation Mappings
Mauro Artigiani, Artur Avila, Sébastien Ferenczi +2
We investigate weak mixing for some classes of interval translation mappings. We give two distinct proofs that a typical Bruin-Troubetzkoy interval translation mapping is weakly mi…
Renormalization for Bruin-Troubetzkoy ITMs
Mauro Artigiani, Pascal Hubert, Alexandra Skripchenko
We study a class of interval translation mappings introduced by Bruin and Troubetzkoy, describing a new renormalization scheme, inspired by the classical Rauzy induction for this c…
Limits of Rauzy graphs of languages with subexponential complexity
Paul-Henry Leemann, Tatiana Nagnibeda, Alexandra Skripchenko +1
To a subshift over a finite alphabet, one can naturally associate an infinite family of finite graphs, called its Rauzy graphs. We show that for a subshift of subexponential comple…
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…
Real-normalized differentials with a single order pole
Igor Krichever, Sergei Lando, Alexandra Skripchenko
A meromorphic differential on a Riemann surface is said to be {\it real-normalized} if all its periods are real. Real-normalized differentials on Riemann surfaces of given genus wi…