8 citations · 13 across the 10 of their papers we have counts for
12 papers
Counting Cylinders on Z-covers of Genus 2 Square-tiled Surfaces
Mauro Artigiani, Angel Pardo
We count maximal cylinders on zero holonomy -covers of genus square-tiled surfaces, up to -action, obtaining quadratic asymptotics. We also show that th…
Maharam-Pollicott-Ruelle resonances and self-similar translation flows on abelian covers
Mauro Artigiani, Roberto Castorrini, Davide Ravotti +1
We study self-similar translation flows on -covers of compact translation surfaces. Our main goal is to investigate their ergodic properties with respect to general Ma…
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…
Veech groups of covers of the Chamanara surface
Mauro Artigiani, Anja Randecker, Chandrika Sadanand +2
We study finite abelian covers of the Chamanara surface, an example of a finite-area infinite translation surface with interesting dynamics and a large Veech group. Specifically, t…
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…
Realizing groups as symmetries of infinite translation surfaces
Mauro Artigiani, Anja Randecker, Chandrika Sadanand +2
We provide a complete classification of groups that can be realized as isometry groups of a translation surface with non-finitely generated fundamental group and no planar ends…
On rigidity properties of time-changes of unipotent flows
Mauro Artigiani, Livio Flaminio, Davide Ravotti
We study time-changes of unipotent flows on finite volume quotients of semisimple linear groups, generalising previous work by Ratner on time-changes of horocycle flows. Any measur…
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…
Octagonal continued fraction and diagonal changes
Mauro Artigiani
In this short note we show that the octagon Farey map introduced by Smillie and Ulcigrai is an acceleration of the diagonal changes algorithm introduced by Delecroix and Ulcigrai.
Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces
Mauro Artigiani, Luca Marchese, Corinna Ulcigrai
We study Lagrange spectra at cusps of finite area Riemann surfaces. These spectra are penetration spectra that describe the asymptotic depths of penetration of geodesics in the cus…
Exceptional ergodic directions in Eaton lenses
Mauro Artigiani
We construct examples of ergodic vertical flows in periodic configurations of Eaton lenses of fixed radius. We achieve this by studying a family of infinite translation surfaces th…
The Lagrange spectrum of a Veech surface has a Hall ray
Mauro Artigiani, Luca Marchese, Corinna Ulcigrai
We study Lagrange spectra of Veech translation surfaces, which are a generalization of the classical Lagrange spectrum. We show that any such Lagrange spectrum contains a Hall ray.…