Davide Ravotti

collaborators

3 papers

math.DS2019

Quantitative equidistribution of horocycle push-forwards of transverse arcs

Davide Ravotti

Let $M = Γ\ SL (2, R)$ be a compact quotient of $SL (2, R)$ equipped with the normalized Haar measure $vol$ , and let $\{h_t\}_{t \in \ma…

math.DS2019

Polynomial 3-mixing for smooth time-changes of horocycle flows

Adam Kanigowski, Davide Ravotti

Let $(h_{t})_{t \in R}$ be the horocycle flow acting on $(M, μ) = (Γ\ SL (2, R), μ)$ , where $Γ$ is a co-compact lattice in $SL (2, R)$ and $μ…

math.DS2019

Mixing for Smooth Time-Changes of General Nilflows

Artur Avila, Giovanni Forni, Davide Ravotti +1

We consider completely irrational nilflows on any nilmanifold of step at least $2$ . We show that there exists a dense set of smooth time-changes such that any time-change in this c…