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math.DS2026
Directional measure rigidity for time-changed first row unipotent actions
Davide Ravotti, Daren Wei
We study flows on finite volume homogeneous manifolds arising as directional restrictions of time changes of higher rank abelian unipotent actions. We establish Ratner-type rigidit…
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…