17 citations · 85 across the 26 of their papers we have counts for
3 papers · 2 filters
Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders
Jon Chaika, Krzysztof Frączek, Adam Kanigowski +1
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surf…
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 . We show that there exists a dense set of smooth time-changes such that any time-change in this c…
On Roth type conditions, duality and central Birkhoff sums for i.e.m
Stefano Marmi, Corinna Ulcigrai, Jean-Christophe Yoccoz
We introduce two Diophantine conditions on rotation numbers of interval exchange maps (i.e.m) and translation surfaces: the \emph{absolute Roth type condition} is a weakening of th…