Fractal dimensions of continuous piecewise linear iterated function systems

17.03.2023 14:00 - 15:00

Daniel Prokaj (BME Budapest)

This talk will revolve around iterated function systems on the real line that consist of continuous, piecewise linear functions. Under a mild separation condition, I will show that the Hausdorff and box dimensions of the attractor are equal to the minimum of 1 and the exponent which comes from the most natural system of covers of the attractor.


H. Bruin, R. Zweimüller


HS 16, 2. OG, OMP 1