JournalsjfgVol. 11, No. 3/4pp. 373–387

On nonlinear iterated function systems with overlaps

  • Boris Solomyak

    Bar-Ilan University, Ramat-Gan, Israel
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Abstract

We construct an example of an iterated function system on the line, consisting of linear fractional transformations, such that two of the maps share a fixed points, but the dimension of the attractor equals the conformal dimension, so that there is no “dimension drop”.

Cite this article

Boris Solomyak, On nonlinear iterated function systems with overlaps. J. Fractal Geom. 11 (2024), no. 3/4, pp. 373–387

DOI 10.4171/JFG/150