3 papers
math.DS2026
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…
math.DS2025
On measures and semiconjugacies for affine interval exchange transformations
P. Berk, K. FrÄ czek, Å. Kotlewski +1
In this article, we study affine interval exchange transformations (AIETs) which are semi-conjugated to interval exchange transformations (IETs) of hyperbolic periodic type. More p…
math.DS2024
On the uniqueness of affine IETs semi-conjugated to IETs
Frank Trujillo
We prove that for almost every irreducible interval exchange transformation and for any vector in its associated central-stable space (with respect to the Kontsevich-Zoric…