TOPOLOGICAL AND DYNAMICAL PROPERTIES IN PARAMETERIZED FAMILIES OF NON-HYPERBOLIC ATTRACTORS: THE INVERSE LIMIT APPROACH

 

Publications, preprints, and work in progress

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Boronski J., Stimac S; The pruning front conjecture, folding patterns and classification of Hénon maps in the presence of strange attractors, arXiv:2302.12568v2

Boroński J.; Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev theorem, Mathematical Proceedings of the Cambridge Philosophical Society 177 (2024), no. 1, 103–108.

Boronski J., Stimac S; Densely branching trees as models for Hénon-like and Lozi-like attractors, Adv. Math. 429 (2023), 109191, 27 pp.

Boronski J., Cinc J., Oprocha P.; Beyond 0 and ∞: A solution to the Barge entropy conjecture, Trans. Amer. Math. Soc. 379 (2026), no. 4, 2441–2484

Boronski J., Minc, P., Stimac S; On conjugacy of natural extensions of 1-dimensional maps, Ergodic Theory and Dynamical Systems, DOI:10.1017/ETDS.2022.62

Ou D-S, Critical points in higher dimensions, I: Reverse order of periodic orbit creations in the Lozi family, arXiv:2203.02326

Foryś-Krawiec M., Hantakova J., Kupka J., Oprocha P., Roth S., Dendrites and measures with discrete spectrum, Ergodic Theory and Dynamical Systems DOI:10.1017/ETDS.2021.157

Foryś-Krawiec M., Hantakova J., Oprocha P., On the structure of alpha-limit sets, Discrete and Continuous Dynamical Systems DOI:10.3934/DCDS.2021159

Kucharski P., On Cartwright-Littlewood fixed point theorem, Indagationes Mathematicae DOI:10.1016/J.INDAG.2022.02.009

Kucharski P., Graph covers of higher dimensional dynamical systems, Topology Appl. 315 (2022), paper no. 108145, 8 pp.

Kucharski P., Strange attractors for the family of orientation preserving Lozi maps, Chaos 33, 113121 (2023); doi: 10.1063/5.0139893

Babel S., Łącka M., On the closedness of ergodic measures in a characteristic class, Colloq. Math. 178 (2025), no. 1, 41–47.

Boroński J., Ou D-S, Discontinuities in prime end rotation numbers of Hénon attractors, in preparation

Boroński J., Miranda Trilles Jr. A, Ou D-S, Schuback N., Discontinuities in prime end rotation numbers of Lozi attractors, in preparation

Boronski J., Kucharski P., Ou D-S, Lozi maps with periodic points of all periods n > 13, preprint

Boronski J., Martens M., Palmisano L., Stimac S., On infinitely renormalizable Hénon maps, in progress

Boronski J., Forys-Krawiec M., Kucharski P., Stimac S. A renormalization model for orientation reversing Lozi maps, in preparation

Boronski J., Stimac S., Characterisation of conjugacy classes of Henon maps in terms of topology of the stable manifold, in preparation