On nonlinear iterated function systems with overlaps
Dynamical Systems
2024-01-09 v1
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''.
Keywords
Cite
@article{arxiv.2401.03535,
title = {On nonlinear iterated function systems with overlaps},
author = {Boris Solomyak},
journal= {arXiv preprint arXiv:2401.03535},
year = {2024}
}
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