4 papers
Coboundaries of 3-IETs
PrzemysÅaw Berk, Carlos Ospina
In this note, we investigate coboundaries of interval exchange transformations of three intervals, or 3-IETs. More precisely, we study differentiable functions whose derivative is…
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…
Coexistence of two contrasting recurrence properties of certain non-integrable cocycles
PrzemysÅaw Berk, Åukasz Kotlewski
We study the recurrence properties of certain skew products over symmetric interval exchange transformations, including rotations, with cocycles of the form $f(x)=-\frac{1}{x^a}+\f…
On the ergodicity of anti-symmetric skew products with singularities and its applications
PrzemysÅaw Berk, Krzysztof FrÄ czek, Frank Trujillo
We introduce a novel method for proving ergodicity for skew products of interval exchange transformations (IETs) with piecewise smooth cocycles having singularities at the ends of…