2 papers
math.DS2025
Mixing asymptotics for time-changes of horocycle flows
Davide Ravotti
Mixing-via-shearing is a powerful and versatile method for establishing mixing properties of smooth parabolic flows. In its quantitative form, it provides upper bounds on the decay…
math.DS2021
Asymptotics and limit theorems for horocycle ergodic integrals à la Ratner
Davide Ravotti
We apply a method inspired by Ratner's work on quantitative mixing for the geodesic flow (Ergod. Theory Dyn. Syst., 1987) and developed by Burger (Duke Math. J., 1990) to study erg…