Publications

1. (with J. Boroński) Densely branching trees as models for Hénon-like and Lozi-like attractors, Advances in Mathematics 429 (2023), 1-27
2. (with J. Boroński and P. Minc) On conjugacy between natural extensions of 1-dimensional maps, Ergodic Theory & Dynamical Systems, 43 (2023), 2915–2937.
3. (with S. Greenwood) A characterization of a map whose inverse limit is an arc, Ergodic Theory & Dynamical Systems 42 (2022), 2533 – 2549 (published online by Cambridge University Press 4 May 2021).
4. (with M. Misiurewicz) Lozi-like maps, Discrete and Continuous Dynamical Systems - Series A 38 (2018), 2965 – 2985.
5. (with H. Bruin) On isotopy of self-homeomorphisms of quadratic inverse limit spaces, Topology Proceedings 52 (2018), 167 – 177.
6. (with M. Misiurewicz) Symbolic dynamics for Lozi maps, Nonlinearity 29 (2016), 3031 – 3046.
7. (with T. Jäger and A. Passeggi) Rotation sets of almost periodic sequences, Mathematische Zeitschrift 284 (2016), 271 – 284.
8. (with H. Bruin) Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture, Topological Methods in Nonlinear Analysis 47 (2016), 147 – 185.
9. (with H. Bruin) Entropy of homeomorphisms on unimodal inverse limit spaces, Nonlinearity 26 (2013), 991 – 1000.
10. (with M. Barge and R. F. Williams) Pure discrete spectrum in substitution tiling spaces , Discrete and Continuous Dynamical Systems - Series A 33 (2013), 579 – 597.
11. (with M. Barge and H. Bruin) The Ingram Conjecture, Geometry and Topology 16 (2012), 2481 – 2516.
12. (with H. Bruin) On isotopy and unimodal inverse limit spaces, Discrete and Continuous Dynamical Systems - Series A 32 (2012), 1245 – 1253.
13. (with L. Block, J. Keesling and B. E. Raines) Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point, Topology and its Applications 156 (2009), 2417 – 2425.
14. (with B. E. Raines) A classification of inverse limit spaces of tent maps with a non-recurrent critical point, Algebraic and Geometric Topology 9 (2009), 1049 – 1088.
15. (with B. E. Raines) Structure of inverse limit spaces of tent maps with nonrecurrent critical points, Glasnik Matematicki 42 (2007), 43 – 56.
16. A classification of inverse limit spaces of tent maps with finite critical orbit, Topology and its Applications 154 (2007), 2265 – 2281.
17. Structure of inverse limit spaces of tent maps with finite critical orbit, Fundamenta Mathematicae 191 (2006), 125 – 150.
18. Homeomorphisms of composants of Knaster continua, Fundamenta Mathematicae, 171 (2002), 267 – 278.

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    Topological Classification of Knaster Continua with Finitely Many Endpoints, Ph.D. thesis (in Croatian), University of Zagreb, 2002.

Preprints

1. (with J. Boroński) The pruning front conjecture, folding patterns and classification of Hénon maps in the presence of strange attractors, preprint 2023, pp. 57.