3 papers
math.DS2023
Equidistribution of nilflows and bounds on Weyl sums
Livio Flaminio, Giovanni Forni
We prove an effective equidistribution result for a class of higher step nilflows, called filiform nilflows, and derive bounds on Weyl sums for higher degree polynomials with a pow…
math.DS2018
Orthogonal powers and Möbius conjecture for smooth time changes of horocycle flows
Livio Flaminio, Giovanni Forni
We derive, from the work of M. Ratner on joinings of time-changes of horocycle flows and from the result of the authors on its cohomology, the property of orthogonality of powers f…
math.DS2015
Equidistribution for higher-rank Abelian actions on Heisenberg nilmanifolds
Salvatore Cosentino, Livio Flaminio
We prove quantitative equidistribution results for actions of Abelian subgroups of the dimensional Heisenberg group acting on compact -dimensional homogeneous nilmanif…