Hi, my name is Przemysław Berk. I am a mathematician working as an associate professor on Nicolaus Copernicus University in Toruń, Poland.

List of articles:

Published and accepted:

1. P. Berk, F. Trujillo, C. Ulcigrai, "Ergodicity of explicit logarithmic cocycles over IETs", accepted in Mathematische Annalen, arXiv:2210.16343.

2. P. Berk, F. Trujillo, H. Wu, "Ergodic properties of infinite extension of symmetric interval exchange transformations",  Ergodic properties of infinite extension of symmetric interval exchange transformations. Journal de l’École polytechnique — Mathématiques, Volume 12 (2025), pp. 853-880.

3. P. Berk, M. Górska, T. de la Rue, "Joining properties of automorphisms disjoint with all ergodic systems", Ergodic Theory and Dynamical Systems. 2025;45(7):1998-2022

4. P. Berk, F. Trujillo, "On the ergodicity of infinite antisymmetric extensions of symmetric IETs", accepted in Journal of European Mathematical Society, arXiv:2304.01868.

5. P. Berk, F. Trujillo, "Rigidity for piecewise smooth circle homeomorphisms and certain GIETs", Advances in Mathematics 441, 109560 (2024).

6. P. Berk, "Backward Rauzy-Veech algorithm and horizontal saddle connections", Annali della Scuola Normale Superiore - Classa di Scienze, Vol. XXV (2024), 1383-1398.

7. P. Berk, A. Kanigowski, "Spectral disjointness of rescalings of some surface flows", Journal of London Mathematical Society 103 (2021), 901-942.

8. P. Berk, K. Frączek, T. de la Rue, "On typicality of translation flows which are disjoint with their inverse", Journal of the Institute of Mathematics of Jussieu 19 (2020), 1677-1737.

9. P. Berk, K. Frączek, "On special flows over IETs which are not isomorphic to their inverses", Discrete Contin. Dyn. Syst. 35 (2015), 829-855.

Preprints:

• P. Berk, C. Ospina, "Coboundaries of 3-IETs", arXiv:2501.06380 .

• P. Berk, K. Frączek, F. Trujillo, "On the ergodicity of anti-symmetric skew products with singularities and its applications",  arXiv:2412.21067.

• F. Argentieri, P. Berk, F. Trujillo, "Ergodicity of skew-products over typical IETs", arXiv:2405.07645.