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, K. Frączek, F. Trujillo, "On the ergodicity of anti-symmetric skew products with singularities and its applications", accepted in Ergodic Theory and Dynamical Systems (2026), arXiv:2412.21067.

2. P. Berk, F. Trujillo, C. Ulcigrai, "Ergodicity of explicit logarithmic cocycles over IETs", Math. Ann. 393, 1195–1239 (2025).

3. 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.

4. 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

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

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

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

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

9. 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.

10. 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 .

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

• P. Berk, K. Frączek, Ł. Kotlewski. F. Trujillo, "On measures and semiconjugacies for affine interval exchange transformations",  arXiv:2511.05069

• P. Berk, Ł. Kotlewski, "Coexistence of two contrasting recurrence properties of certain non-integrable cocycles", arXiv:2601.16701