3 papers
math.DS2026
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…
math.DS2025
Invariant sets for the wind-tree model
Yuriy Tumarkin
We consider the wind-tree model, a - periodic billiard. In the case when the underlying compact translation surface lies on a periodic orbit of the Teichmüller geode…
math.DS2023
Ergodic measures for periodic type -skew-products over Interval Exchange Transformations
Yuriy Tumarkin
We consider a special case of the question of classification of invariant Radon measures of -valued skew-products over interval exchange transformations, which arise…