Attractors of sequences of iterated function systems
Dynamical Systems
2018-03-07 v4
Abstract
If and are iterated function systems, then any infinite word in the symbols and induces a limit set. It is natural to ask whether this Cantor set can also be realized as the limit set of a single iterated function system . We prove that under certain assumptions on , and , the answer is no. This problem is motivated by the spectral theory of one-dimensional quasicrystals.
Cite
@article{arxiv.1611.01196,
title = {Attractors of sequences of iterated function systems},
author = {Ryan Broderick},
journal= {arXiv preprint arXiv:1611.01196},
year = {2018}
}