1 citations · 2 across the 5 of their papers we have counts for
7 papers
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…
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…
Horocycle flows on abelian covers of surfaces of negative curvature
Roberto Castorrini, Davide Ravotti
We consider the unit speed parametrization of the horocycle flow on infinite Abelian covers of compact surfaces of negative curvature. We prove an asymptotic result for the ergodic…
On asymptotic expansions of ergodic integrals for -extensions of translation flows
Henk Bruin, Charles Fougeron, Davide Ravotti +1
We obtain expansions of ergodic integrals for -covers of compact self-similar translation flows, and as a consequence we obtain a form of weak rational ergodicity with optima…
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…
Abelian covers of hyperbolic surfaces: equidistribution of spectra and infinite volume mixing asymptotics for horocycle flows
Livio Flaminio, Davide Ravotti
We consider Abelian covers of compact hyperbolic surfaces. We establish an asymptotic expansion of the correlations for the horocycle flow on -covers, thus proving a…
Polynomial mixing for time-changes of unipotent flows
Davide Ravotti
Let be a connected semisimple Lie group with finite centre, and let be a compact homogeneous manifold. Under a spectral gap assumption, we show that smooth t…