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.
Fractal dimensions of continuous piecewise linear iterated function systems
17.03.2023 14:00 - 15:00
Organiser:
H. Bruin, R. Zweimüller
Location: