Publications

All of my articles are available on arXiv.

Research articles

1. R.D. Prokaj, B. Bárány (2025). On the level sets of Okamoto’s function.
   Preprint.

2. R.D. Prokaj, P. Raith (2024). Continuity of the natural dimension of piecewise linear iterated function systems.
   Preprint.

3. R.D. Prokaj, P. Raith, K. Simon (2023). Fractal dimensions of continuous piecewise linear iterated function systems.
   Proceedings of the American Mathematical Society 151.11: 4703-4719.

4. R.D. Prokaj, K. Simon (2023). _Special families of piecewise linear iterated function systems-.
   Accepted in Dynamic Systems and Applications.

5. R.D. Prokaj, K. Simon (2021). Piecewise linear iterated function systems on the line of overlapping construction.
   Nonlinearity 35.1: 245.

6. G. Károlyi, R.D. Prokaj, T. Tél, I. Scheuring (2020). Climate change in a conceptual atmosphere-plankton model.
   Earth System Dynamics 11.3: 603-615.

PhD dissertation

On the dimension theory of piecewise linear iterated function systems