3 papers
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…
math.DS2019
Spectral disjointness of rescalings of some surface flows
Przemysław Berk, Adam Kanigowski
We study self-similarity problem for two classes of flows: (1) special flows over circle rotations and under roof functions with symmetric logarithmic singularities (2) special flo…
math.DS2017
On typicality of translation flows which are disjoint with their inverse
Przemyslaw Berk, Krzysztof Fraczek, Thierry de la Rue
In this paper we prove that translation structures for which the corresponding vertical translation flows is weakly mixing and disjoint with its inverse, form a -dense set in…