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arXiv · 2401.03535

On nonlinear iterated function systems with overlaps

Boris Solomyak
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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''.

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Boris Solomyak. 2024-01-07. On nonlinear iterated function systems with overlaps. https://arxiv.org/abs/2401.03535

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