Genericity of dimension drop on self-affine sets
Dynamical Systems
2017-08-22 v2 Classical Analysis and ODEs
Abstract
We prove that generically, for a self-affine set in , removing one of the affine maps which defines the set results in a strict reduction of the Hausdorff dimension. This gives a partial positive answer to a folklore open question.
Keywords
Cite
@article{arxiv.1611.00496,
title = {Genericity of dimension drop on self-affine sets},
author = {Antti Käenmäki and Bing Li},
journal= {arXiv preprint arXiv:1611.00496},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1609.07360