From the 1 of 5 linked papers with an AI index.
5 papers
Maharam-Pollicott-Ruelle resonances and self-similar translation flows on abelian covers
Mauro Artigiani, Roberto Castorrini, Davide Ravotti +1
The paper analyzes self‑similar translation flows on abelian (ℤ^d) covers of compact translation surfaces, using twisted transfer operators to study ergodic properties with respect…
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…
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…
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…