# Dynamics and Ergodic Theory

**Scientific visits, conference and seminar talks**

**2020**

**Przemysław Berk **

- Post-doc position in Univeristy of Rouen (France), 9.2019-9.2020.
- Post-doc position in University of Zurich (Switzerland), 9.2020-9.2021.

**Bartosz Bieganowski **

- Research visit to Karlsruhe Institute of Technology (Germany), 10-14.02.2020; seminar talk: Bound states for the Schrödinger equation with mixed-type nonlinearites.
- Online seminar, the Polytechnic University of Lodz (Poland), 15.05.2020; seminar talk: Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth.

**Aurelia Dymek **

- Wandering Seminar. A conference on Ergodic Theory and Dynamical Systems, Gdańsk (Poland), 27.02-1.03.2020, talk: Automorphisms of B-free systems.

**Krzysztof Frączek **

- Visiting professor in Université de Rouen Normandie, 5-11.01.2020; Groupe de travail en Probabilités, seminar talk: Théorie Ergodique et Systèmes Dynamiques pt. On the billiard flow on nibbled ellipses.
- Online seminar, Séminaire de Systèmes Dynamiques-Paris, 3.07.2020; seminar talk: Recurrence of a.a. elements for smooth curves in the moduli space of translation surfaces and two applications.

**Anna Gołębiewska **

- Conference “Celestial mechanics and beyond” Puebla (Mexico), 9-13.03.2020; talk: Continuation of closed orbits from equilibria of Hamiltonian systems with Coriolis forces.

**Joanna Kułaga-Przymus **

- Online seminar, Dynamical Systems Seminar, Jagiellonian University, 9.10.2020; seminar talk: Entropy rate of product of independent processes.
- Online seminar, Dynamics Seminar, University of Maryland, 12.11.2020; seminar talk: Entropy rate of product of independent processes.

**Mariusz Lemańczyk **

- Visiting professor in Université de Normandie (Rouen) – February 2020.

**2021**

**Przemysław Berk **

- Workshop “Dynamische Systeme”, Oberwolfach, 11-17.07.2021, talk: Disjointness of translation flows with their inverses.
- Conference “SwissMAP Annual General Meeting”, Les Diablerets, Switzerland, 12-15.09.2021, talk: Linear rescalings of flows on surfaces.

**Bartosz Bieganowski **

- Conference “XII Forum of Partial Differential Equations”, Będlewo, 19-25.09.2021, invited talk: Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth.
- Seminar Differential Equations and Dynamical Systems at Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, 18.10.2021, seminar talk: Fractional Schroedinger equations with Hardy-type potentials.

**Aurelia Dymek **

- Online seminar, Dynamical Systems Seminar, Jagiellonian University, 26.03.2021, seminar talk: Topological dynamics of multidimensional B-free systems: proximality, minimality and the maximal equicontinuous factor.
- Online seminar, Ergodic Theory Seminar, Ohio State University, 26.08.2021, seminar talk: Topological dynamics of (multidimensional) B-free systems.

**Krzysztof Frączek **

- Conference ”First Dynamical Systems Summer Meeting’’, 16-20.08.2021 Będlewo, invited talk: Recurrence for smooth curves in the moduli space of translation surfaces.

**Minsung Kim **

- Probability seminar, IMPAN, Sopot 4.11.2021, seminar talk.
- Analysis seminar, Saitama University, Saitama, Japan (online), 4.10.2021, seminar talk.
- Seminar in Ergodic theory and Dynamical systems, POSTECH, Pohang, Korea (online), 15.9.2021, seminar talk.
- Seminar in Ergodic theory and Dynamical systems, KIAS, Seoul, Korea (online), 11.8.2021, seminar talk.

**Tomasz Klimsiak **

- Seminar: Non-local operators, probability and singularities, Wrocław University of Science and Technology (Poland), Faculty of Pure and Applied Mathematics, seminar talk: Schrödinger equations with smooth measure potential and general measure data, 25.05.2021.

**Joanna Kułaga-Przymus **

- “8th European Congress of Mathematics”, 20-26.06.2021, Portoroz. Invited (online) talk („A journey from pure to applied mathematics” section): On arithmetic functions orthogonal to deterministic sequences.
- Conference “First Dynamical Systems Summer Meeting”, 16-20.08.2021, Będlewo. Invited talk: Entropy rate of product of independent processes.

**Mariusz Lemańczyk **

- “Maryland Spring Conference” (online) 2021. Invited talk: Spectral theory, Ratner properties and Furstenberg disjointness.
- Conference “First Dynamical Systems Summer Meeting”, Będlewo, 16-20.08.2021. Invited talk: On Furstenberg systems of some aperiodic multiplicative functions.
- Ohio State University, seminar talk (online): On Furstenberg systems of some aperiodic multiplicative functions.
- Excellence Center DAMSI, seminar talk (online): Sarnak’s conjecture on Moebius orthogonality.

**2022**

**Przemysław Berk **

- Visiting professor, University of Zurich, Switzerland, 4.09-10.09.2022.
- Conference “Combinatorics, Dynamics and Geometry on Moduli Spaces”, 19.09-23.09, Marseille, France, poster: Backward Rauzy-Veech Algorithm and Horizontal Saddle Connections.

**Jamerson Bezerra **

- Visiting professor, Faculty of sciences of Lisbon University, 01-05.02.22, Lisbon, Portugal.
- Visiting professor, IMPA, 13-26.02.22, Rio de Janeiro, Brasil.
- Visiting professor, Ecole Polytechnique 08-24.04.22, Paris, France.
- Visiting professor, Faculty of sciences of Lisbon University, 07-14.07.22, Lisbon, Portugal.
- Visiting professor, Federal University of Alagoas, 03-13.09.22, 02-23.10.22, Alagoas, Brasil.
- LxDS seminar, Faculty of sciences of Lisbon University, Portugal, 02.02.22, seminar talk: Analiticity of Lyapunov exponents of random product of quasi-periodic cocycles.
- Workshop ”New trends in Lyapunov exponents”, Lisbon, Portugal, 07-11.02.22, talk: Geometric upper bound for the regularity of Lyapunov exponent of random product of matrices.
- Dynamical systems seminar (online), Porto University, Portugal, 04.03.22, seminar talk: Regularity of Lyapunov exponents of random product of matrices.
- Workshop ”Topology and dynamics” (online), Fluminense Federal University, Brazil, 09-16.03.22, talk: Positivity of the Hausdorff dimension of generic dynamically defined Lagrange spectra.
- LxDS seminar (online), Faculty of sciences of Lisbon University, Portugal, 23.03.22, seminar talk: Positivity of the Hausdorff dimension of generic dynamically defined Markov and Lagrange spectra.
- Ergodic theory and dynamical systems seminar, Federal University of Alagoas, Brazil, 09.09.22, seminar talk: Lyapunov exponents of linear cocycles.
- Ergodic theory and dynamical systems seminar (online), POSTECH, Korea, 19.10.22, seminar talk: Regularity of the Lyapunov exponent of random product of matrices.

**Bartosz Bieganowski **

- Conference “Nonuniformly elliptic problems”, 05-09.09.2022, Warszawa, invited talk: Strongly indefinite variational problems with sign-changing nonlinearities.
- Conference “Topics in variational problems arising from models in physics”, 24-29.07.2022, Będlewo, invited talk: Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth.
- Conference “Equadiff”, 11-15.07.2022, Brno, Czechia; invited (within a mini-symposium) talk: Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth.
- “School on nonlinear PDEs”, 15-21.05.2022, Warszawa, invited talk: Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth.
- Confrerence “Recent trends in nonlinear and dispersive equations: equilibria, stability, dynamics”, 01-07.05.2022, Będlewo, invited talk: Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth.

**Rodrigo Bissacot**

- Visiting professor, Universite de Bordeaux, France,15-29.05.2022.
- Visiting professor, Universitity of Sao Paulo (USP), Brazil, 13-28.10.2022.
- Applied Mathematics Seminar – SOTO 80. In memoriam of Jorge Sotomayor. Federal University of Itajuba, UNIFEI. Itajuba, Brazil, 26.04.2022, seminar talk: Mathematical Phase Transitions.

**Klaudiusz Czudek**

- “2022 PIMS-CRM Summer School in Probability”, 30.05-15.06.2022, Vancouver, Canada, talk: CLT for additive functionals of random circle rotations.
- “Minikonferencja PTM”, 2-3.06.2022, Warsaw (online, in Polish), talk: Centralne twierdzenie graniczne dla losowych obrotów okręgu.
- Conference “Geometry of deterministic and random fractals”, 27.06-1.07.2022, Budapest, Hungary, talk: Counterexamples to CLT for random rotations.
- Conference “Probabilistic methods in random and time-varying dynamical systems”, 2.10-7.10.2022, Luminy, France, (invited speaker), talk: Simple symmetric random walks on the circle.
- Institute of Mathematics-Universidade Federal do Rio de Janeiro, Dynamical systems seminar, 6.05.2022, online seminar talk: CLT for random rotations.
- Wrocław University, Seminar of probability theory and stochastic modelling, 26.05.2022, seminar talk: CLT for random rotations.
- IM PAN, Dynamical systems seminar, 19.09.2022, seminar talk: Simple symmetric random walks on the circle.
- IM PAN, Seminar of aproximation theory and stochastic analysis, 20.10.2022, seminar talk: Simple symmetric random walks on the circle
- KTH Royal Institute of Technology, Stockholm, Sweden, 20.10.2022, online seminar talk: Simple symmetric random walks on the circle.

**Krzysztof Frączek **

- Visiting professor, Institute for Advanced Studies, Princeton, USA,7-16.11.2022.
- Visiting professor, University of Maryland, College Park, USA, 16-25.2022.
- Seminar on Dynamical Systems at IMPAN, 21.02.2022, online seminar talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces.
- Special Year Research Seminar, Institute for Advanced Studies, Princeton, USA, 8.11.2022, talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces.
- Dynamical Systems Seminar, University of Maryland, College Park, USA, 22.11.2022, talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces.

**Anna Gołębiewska **

- Conference “Topological Methods in Nonlinear Analysis: Recent Advances; Professor Andrzej Granas Memorial Conference’’, 4-8.07.2022, Montreal, Canada, invited talk: Global bifurcation from equilibria of autonomous Hamiltonian systems.
- Conference “New Trends on bifurcations in ordinary differential equations’’, 6-9.09.2022, Barcelona, Spain, talk: Global bifurcation of closed orbits from equilibria of Hamiltonian systems.

**Aleksander Gomilko **

- Conference “33rd International Workshop on Operator Theory ana Applications – IWOTA 2022”, 6-10.09.2002, Kraków, Poland, talk: A new approach to rational approximation of operator semigroups.

**Minsung Kim **

- Visiting professor, Centro De Giorgi (Sculola Normale Superiore), Pisa, Italy, April 26 – 30, 2022.
- Visiting professor, Universita di Roma (Tor Vergata), Rome, Italy, June 12 – 19, 2022.
- Zoominar in Dynamical Systems at Porto, June 2022, online seminar talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces.
- Ergodic theory and Dynamical systems, POSTECH, Pohang, Korea, May 2022, online seminar talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces.
- Dynamics seminar, Centro De Giorgi (Sculola Normale Superiore), Pisa Apr 2022, seminar talk: Effective equidistribution for generalized higher step nilflows.
- Dynamics seminar, IMPAN (Polish Academy of Sciences), Warsaw, Poland, March 2022, seminar talk: Effective equidistribution for generalized higher step nilflows.

**Tomasz Klimsiak **

- Conference “Probability and Analysis 2022”, Wrocław, 19-23.09.2022, talk: Asymptotics for degenerate logistic equations with Dirichlet fractional Laplacian.
- Conference “Advances in Stochastic Control and Optimal Stopping with Applications in Economics and Finance”, 12-16.09.2022, CIRM Luminy, France, talk: Reflected BSDEs with integrable data – existence, a priori estimates and related non-linear Dynkin games.
- Conference “IFIP TC7 System Modeling and Optimization”, 4-8.07.2022, Warsaw University of Technology, invited lecture: Non-semimartingale solutions to reflected BSDEs with applications to non-linear Dynkin games.
- “MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics”, 20-26.03.2022, Oberwolfach, Mathematisches Forschungsinstitut Oberwolfach, Germany, invited lecture: Elliptic (non-local) PDEs with singular data – the method of orthogonal projection.
- Conference “Kolmogorov operators and their applications”, 12-18.07.2022, Cortona, Italy, invited lecture: Strong maximum principle for local and non-local Schrodinger operators with singular potential.
- Wrocław University of Science and Technology, Seminar on Markov Semigroups and Schroedinger Operators, 29.04.2022, seminar talk: Lematy typu Hopfa dla podrozwiazan równan całkowo-rózniczkowych.

**Joanna Kułaga-Przymus **

- Dynamical Systems seminar, The Open University, UK, 1.06.2022, online seminar talk: Around Sarnak’s conjecture.

**Mariusz Lemańczyk **

- Conference “ICM 2022”, invited online talk: Furstenberg disjointness, Ratner properties and Sarnak’s conjecture.
- Conference “Dynamics Week in Jerusalem, Ergodic Theory and Beyond”, 1-8.07.2022, online talk: Furstenberg disjointness, Ratner properties and Sarnak’s conjecture.
- Conference “Elementare und Analytische Zahlentheorie (ELAZ)”, 22-26.08.2022, Poznań; plenary talk: On autocorrelations of some aperiodic multiplicative functions.
- Conference “Recent Advances in Dynamics, Geometry, and Number Theory. Conference in honor of Svetlana Katok’s birthday”, 28.08.2022 PennState University, USA, talk: On Furstenberg systems of some aperiodic multiplicative functions.
- Penn State University: two seminar talks Furstenberg disjointness and Sarnak’s conjecture and Möbius orthogonality in topological models of ergodic automorphisms.
- Visiting professor, Penn State University, USA, 29-31.08.2022.
- Membership, Institute for Advanced Studies, Princeton, USA, 1.09.2022-31.07.2023.

**Jarosław Sarnowski **

- Research visit, UAM, Poznań, December 2022.

**Daniel Sell **

- “Summer School on Aperiodic Order”, 6-9.09.2022, Edmonton, Canada, talk: Periodic structures in B-free Toeplitz subshifts.
- “Workshop on Functional Analysis, Operator Theory and Dynamical”, 19-22.09.2022, Potsdam, Germany, talk: About endomorphisms of B-free, B-admissible subshifts.

**Yuriy Tomilov **

- Conference „Special Session of PTM”, IM PAN, 2-3.06.2022, talk: O reprezentacjach macierzowych operatorów liniowych na przestrzeni Hilberta.
- “International conference on operator theory and its applications (IWOTA)”, Kraków, Poland, 06-10.09.2022, two talks (semi-plenary and invited): Functional calculi for semigroup generators: in depth, around and beyond. What can spectral theory do for (nonlinear) instability?
- Functional Analysis Seminar, Delft University of Technology, 12.02.2022, seminar talk: A Besov algebra calculus for semigroup generators and its applications.

**2023**

**Przemysław Berk **

- Visiting professor, 26.02-04.03.2023, Institute Fourier, Grenoble, France.
- Visiting professor, 23.04-29.04.2023, University of Vienna, Austria.
- Visiting professor, 14.06-14.07.2023, Universität Zürich, Switzerland.
- Visiting professor, 6.09-30.09.2023, University of Utah (Salt Lake City) and University of Maryland (College Park), USA.
- Visiting professor, 8.12-14.12.2023, Université de Rouen Normandie, France.
- Séminaire de Topologie, Institute Fourier, Grenoble, France 3.03.2023, seminar talk: Ergodicity of skew products over symmetric interval exchange transformations.
- Seminar Ergodic Theory and Dynamical Systems, University of Vienna, Austria, 27.04.2023, seminar talk: Ergodicity of skew products over symmetric interval exchange transformations.
- Max Dehn Seminar on Geometry, Topology, Dynamics, and Groups, University of Utah, Salt Lake City, USA, 13.09.2023, seminar talk: Disjointness of translation flows with their inverses.
- Dynamics Seminar, University of Maryland, College Park, USA, 28.09.2023, seminar talk: Ergodicity of infinite symmetric extensions of IETs.
- Seminar on Dynamical Systems at IMPAN, Warszawa, 23.10.2023, seminar talk: Rigidity of linearisation for piece-wise smooth circle maps.

**Jamerson Bezerra **

- Visiting professor, Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore at Pisa, Italy, 25-31.03.2023.
- Visiting professor, Faculty of sciences of Lisbon University, Portugal, 09-20.07.2023.
- School and Workshop “Ergodic theory and parabolic dynamics”, Warszawa, Poland, 22.05.23-03.06.23, talk: Regularity of Lyapunov exponent of linear cocycles.

**Bartosz Bieganowski **

- Visiting professor, 11-15.09.2023, Politecnico di Bari, Italy.

**Aurelia Dymek **

- Postdoc position in University of Vienna, 6.02-4.08.2023, supervisor: prof. Henk Bruin, research on chaos in B-free subshifts.
- Seminar on Ergodic Theory and Dynamical Systems University of Vienna, seminar talks: Minimality of B-free systems (in number fields), 2.09.2023 and 9.09.2023.

**Krzysztof Frączek **

- Visiting professor, Scuola Normale Superiore di Pisa, Italy, 26.02-04.03.2023.
- “DynamIST Seminar”, Institute of Science and Technology Austria, Klosterneuburg, 14.02.2023, seminar talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces.
- “Seminari di Sistemi Dinamici”, Scuola Normale Superiore di Pisa, Italy, 02.03.2023, seminar talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces.
- Conference “Probability and Dynamics”, Roscoff, France, 08-12.05.2023, talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces.
- “Conference on Dynamics and Finance: from KAM Tori to ETFs”, Trieste, Italy, 09-13.10.2023, talk: Deviation spectrum of ergodic integrals for locally Hamiltonian flows on surfaces

**Anna Gołębiewska **

- “Workshop on Differential Equations and Their Applications”, 02-08.07.2023, Będlewo, Poland, talk: Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces.

**Stanisław Kasjan **

- Visiting professor, IAS Princeton, USA, 04-11.06.2023.

**Tomasz Klimsiak **

- Conference “Nonlocal Operators and Markov Processes”, Będlewo, 20-24.03.2023, talk: Harmonically small solutions to the Dirichlet problem for semilinear partial integro-differential equations.
- Conference “Stochastic modeling and control”, 8-13.05.2023 Będlewo, Poland, talk: Nonlinear reflected BSDEs and their applications to Dynkin games: beyond the semimartingale framework.

**Joanna Kułaga-Przymus **

- Visiting professor, 20-26.02.2023, Princeton IAS, USA.
- “Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory”, 27.02-04.03.2023, Institute for Advanced Study, Princeton, USA, talk: Thermodynamic Formalism for B-free Dynamical Systems.
- Conference “Thermodynamic Formalism: Non-additive Aspects and Related Topics”, 16-17.05.2023, Będlewo, talk: Thermodynamic formalism for B-free systems.
- Conference “Numbers in the Universe: recent advances in number theory and its applications”, 9-11.08.2023, Warsaw/Kiev, Poland/Ukraine, talk: Introduction to Sarnak’s conjecture – II.
- Conference Journées de dynamique, 4-6.10.2023, Paris, France, talk: Invariant measures for B-free systems and beyond.

**Mariusz Lemańczyk **

- Special Year Research Seminar, Institute for Advanced Studies, Princeton, USA, 17.01.2023, seminar talk: On Furstenberg systems of a class of multiplicative functions.
- Dynamical Systems Seminar, University of Maryland, College Park, USA, 2.05.2023, seminar talk: Characteristic classes in ergodic theory and Sarnak’s conjecture.
- Conference “Numbers in the Universe: recent advances in number theory and its applications”, 9-11.08.2023, Warsaw/Kiev, Poland/Ukraine, talk: Introduction to Sarnak’s conjecture – I.

**Stavroula Makri **

- Workshop “Topology BTW3: Morse and Floer Theories”, 30 January-03 February 2023, CIRM, France, talk: The Fukaya category.

**Graccyela Salcedo **

- Research visit, Department of Mathematics, Jagiellonian University, 01.10.2023- 07.10.2023, Krakow.
- Dynamical Seminar at the Jagiellonian University, Kraków, 06.10.2023, seminar talk: Contracting on average IFSs on the circle by a metric change.
- Research visit, Laboratoire d’Analyse et de Mathematiques Appliquees of Universite Gustave Eiffel. 16 – 27.10.2023, Paris.

Jarosław Sarnowski

- Seminar of Operator Theory at Adam Mickiewicz University in Poznań, Poland, seminar talks 03.01.23 and 10.01.23.
- Conference IWOTA (Internation Workshop on Operator Theory), 30.07.23-05.08.23, Helsinki, Finland, talk: Extrapolation of boundedness of periodic Fourier multipliers.

**Daniel Sell **

- Research visit at Friedrich Schiller University Jena (Germany); 10.04.2023 – 16.04.2023.
- Research Seminar on Dynamical Systems and Mathematical Physics, 13.04.2023, Friedrich Schiller University Jena, Germany, seminar talk: Finitely many asymptotic classes in Toeplitz subshifts.
- 10th Visegrad Conference on Dynamical Systems, 29.06-01.07.2013, Łódź University, talk: On invariant measures of B-free subshifts.
- The annual conference of the German Mathematical Society (DMV), 25-28.089.2023, Technische Universität Ilmenau, Germany, talk: On entropy and invariant measures of B-free subshifts.

**Yuriy Tomilov **

- Visiting professor, Technical University Dresden, Germany, 03.02-11.02.2023.
- Visiting professor, Institute of Mathematics of the Czech Academy of Sciences, Prague, 31.03-14.03.20223.
- Session of laureates of Mlak and Opial Prize, 1-3.03.2034, Kraków, talk: Teoria operatorów a asymptotyka rozwiązań równań nieliniowych.
- “34th International Workshop on Operator Theory and its Applications” (IWOTA), Helsinki, Finland, 31.07-04.08.2023, two talks: Instability for semilinear evolution equations via operator theory, Rational Approximations of Semigroups Revisited.