17 citations · 85 across the 26 of their papers we have counts for
34 papers
Disjointness of rescalings of smooth area preserving flows on surfaces
Przemysław Berk, Corinna Ulcigrai
We consider the problem of \emph{disjointness of rescalings} , of a flow in the context of smooth flows pre…
Singularity of the spectrum of typical minimal smooth area-preserving flows in any genus
Krzysztof Frączek, Adam Kanigowski, Corinna Ulcigrai
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…
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…
Regularity of conjugacies of linearizable generalized interval exchange transformations
Selim Ghazouani, Corinna Ulcigrai
We consider generalized interval exchange transformations (GIETs) of d intervals () which are linearizable, i.e. differentiably conjugated to standard interval exchange ma…
Ergodicity of explicit logarithmic cocycles over IETs
Przemysław Berk, Frank Trujillo, Corinna Ulcigrai
We prove ergodicity in a class of skew-product extensions of interval exchange transformations given by cocycles with logarithmic singularities. This, in particular, gives explicit…
Affine IETs with a singular conjugacy to an IET
Frank Trujillo, Corinna Ulcigrai
We produce affine interval exchange transformations (AIETs) which are topologically conjugated to (standard) interval exchange maps (IETs) via a singular conjugacy, i.e. a diffeomo…