3 papers
math.DS2026
Disjointness of rescalings of smooth area preserving flows on surfaces
PrzemysÅaw Berk, Corinna Ulcigrai
We consider the problem of \emph{disjointness of rescalings} , of a flow in the context of smooth flows…
math.DS2025
Singularity of the spectrum of typical minimal smooth area-preserving flows in any genus
Krzysztof FrÄ czek, 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 almost every such locally…
math.DS2025
Dynamical decomposition of generalized interval exchange transformations
Charles Fougeron, Sophie Schmidhuber, Corinna Ulcigrai
We develop a renormalization scheme which extends the classical Rauzy-Veech induction used to study interval exchange tranformations (IETs) and allows to study generalized interval…