3 papers
math.DS2025
On measures and semiconjugacies for affine interval exchange transformations
P. Berk, K. Frączek, Ł. 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-Zorich…
math.DS2024
Ergodic properties of infinite extension of symmetric interval exchange transformations
Przemysław Berk, Frank Trujillo, Hao Wu
We prove that skew products with the cocycle given by the function with are ergodic for every ergodic symmetric IET in the base, thus giving the full char…