On nonlinear iterated function systems with overlaps

Boris Solomyak

doi:10.4171/JFG/150

On nonlinear iterated function systems with overlaps

Boris Solomyak

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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”.

Original language	English
Pages (from-to)	373-387
Number of pages	15
Journal	Journal of Fractal Geometry
Volume	11
Issue number	3-4
DOIs	https://doi.org/10.4171/JFG/150
State	Published - 2024

Bibliographical note

Publisher Copyright:
©2024 European Mathematical Society.

Keywords

dimension drop
non-linear iterated function system
overlap

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10.4171/JFG/150

Cite this

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On nonlinear iterated function systems with overlaps

Abstract

Bibliographical note

Keywords

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