September 19, 2024Open Access

On nonlinear iterated function systems with overlaps

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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 (Thu,) studied this question.

synapsesocial.com/papers/68e57fb3b6db64358751d5f8 https://doi.org/https://doi.org/10.4171/jfg/150

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