Welcome!

The IM PAN Department of Dynamical Systems currently consists of Ayreena Bakhtawar, Artem Dudko, Yonatan Gutman (head), Michael Levin, Chunlin Liu, Feliks Przytycki, Michał Rams and Adam Śpiewak. The members conduct research in a very wide spectrum of dynamics. For example: ergodic theory (Bakhtawar, Gutman, Liu), fractal geometry (Bakhtawar, Rams, Śpiewak), holomorphic dynamics (Dudko, Przytycki), information theory (Gutman, Śpiewak), mathematical physics (Gutman, Śpiewak), metric number theory (Bakhtawar, Rams), one-dimensional dynamics (Przytycki, Rams), representation theory (Dudko), smooth dynamics (Przytycki, Rams), thermodynamic formalism (Przytycki, Rams), topological dynamics (Gutman, M. Levin, Liu), topology (M. Levin).

The Department organises a weekly seminar in Warsaw, also transmitted online. For details see Seminar. One can find information on our past Simons' Semesters and our past and upcoming conferences here.

For more information on the Department of Dynamical Systems see the menu on the left.

A partial list of recent publications:

• Ayreena Bakhtawar and David Simmons. Generalised Hausdorff measure of sets of Dirichlet non-improvable matrices in higher dimensions. Research in Number Theory 9 (2023), no.3, Paper No. 54, 18 pp.

• Krzysztof Barański, Yonatan Gutman and Adam Śpiewak, On the Shroer-Sauer-Ott-Yorke Predictability Conjecture for Time-Delay Embeddings. Communications in Mathematical Physics 391 (2022), no. 2, 609–641.

• Krzysztof Barański, Yonatan Gutman and Adam Śpiewak, Prediction of dynamical systems from time-delayed measurements with self-intersections. J. Math. Pures Appl. 186 (2024), 103-149.

• Artem Dudko and Rostislav Grigorchuk. On spectral properties of the Schreier graphs of the Thompson group 𝐹. Transactions of the American Mathematical Society 376.04 (2023): 2787-2819.

• Jerzy Dydak, Michael Levin and Jeremy Sieger, Universal spaces for asymptotic dimension via factorization. Canad. Math. Bull.67(2024), no.2, 391–402.

• Henna Koivusalo and Michał Rams. "Mass transference principle: From balls to arbitrary shapes." International Mathematics Research Notices 2021.8 (2021): 6315-6330.

• Chunlin Liu, Feng Tan and Jianhua Zhang. Mean Li-Yorke chaos along any infinite sequence for infinite-dimensional random dynamical systems.  J. Differential Equations 403 (2024), 548–575.

• Reza Mohammadpour, Feliks Przytycki, Michał Rams. Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids. Ergodic Theory and Dynamical Systems 42 (2022), 3458-3489.

• Łukasz Pawelec and Mariusz Urbański. Estimating Hausdorff measure for Denjoy maps. Nonlinearity 36 (2023) 6224–6238

• Feliks Przytycki. Thermodynamic formalism methods in one-dimensional real and complex dynamics. Proceedings of the International Congress of Mathematicians 2018, Rio de Janeiro, Vol.2, pp. 2081-2106.