Davide Ravotti

collaborators

4 papers

math.DS2024

Multiple mixing for parabolic systems

Adam Kanigowski, Davide Ravotti

The famous Rokhlin Problem asks whether mixing implies higher order mixing. So far, all the known examples of zero entropy, mixing dynamical systems enjoy a variant of the mixing v…

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…