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Welcome!
Welcome!
The IM PAN Department of Dynamical Systems currently consists of Artem Dudko, Yonatan Gutman (head), Gustavo Pessil, Feliks Przytycki, Michał Rams, Adam Śpiewak and Xulei Wang. The members conduct research in a very wide spectrum of dynamics. For example: ergodic theory (Gutman, Pessil, Wang), fractal geometry (Rams, Śpiewak, Pessil), holomorphic dynamics (Dudko, Przytycki), information theory (Gutman, Śpiewak), mathematical physics (Gutman, Śpiewak), metric number theory (Rams), one-dimensional dynamics (Przytycki, Rams), representation theory (Dudko), smooth dynamics (Przytycki, Rams), thermodynamic formalism (Przytycki, Rams), topological dynamics (Gutman, Pessil, Wang), algebraic topology (Wang).
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:
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.
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
Maria Carvalho, Gustavo Pessil, Paulo Varandas. A convex analysis approach to the metric mean dimension: Limits of scaled pressures and variational principles. Advances in Mathematics, Vol. 436, 2024, 109407
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.
Wang, X.; Zhang, G. Schmidt’s Winning Sets in S-Gap Shifts. Fund. Math. 264 (2024), 197-216
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