2 papers
math.DS2025
On the dimension theory of Okamoto's function
Balázs Bárány, R. Dániel Prokaj
In this paper, we investigate the dimension theory of the one parameter family of Okamoto's function. We compute the Hausdorff, box-counting and Assouad dimensions of the graph for…
math.DS2023
Fractal dimensions of continuous piecewise linear iterated function systems
R. D. Prokaj, P. Raith, K. Simon
We consider iterated function systems on the real line that consist of continuous, piecewise linear functions. Under a mild separation condition, we show that the Hausdorff and box…