Consider iterated function systems (IFS) on the real line consisting of continuous piecewise affine functions. We do not require that the functions of the IFS are injective, but we assume that their derivatives, when they exist, are separated from zero. Under a mild separation condition, we show that the Hausdorff dimension of the attractor is equal to the minimum of 1 and the exponent that comes from the most natural system of covers of the attractor. Further, we also prove a result on the positivity of the Lebesgue measure of the attractor.
Monday, June 29, 2026
10:05–10:55 am (CEST), room 207 in Building H, BME.
TBA
Bessenyei Mihály
About
This is the website for the BME Fractal Geometry Seminar, which started on October 20, 2025.
Usual place: Budapest University of Technology and Economics (H-1111 Budapest, Műegyetem rkp 3, Hungary),
Building H, 2-nd floor 207 and Zoom.
The talks are usually streamed. To subscribe to/unsubscribe from the mailing list, please use the form below. (Please use the same form to change e-mail address.)
If you are interested giving a talk please do not hesitate to write to one of the organizers.