$HD(M\setminus L)<0.986927$
Dynamical Systems
2019-10-04 v3
Abstract
We show that several portions of the complement of the Lagrange spectrum in the Markov spectrum can be seen as subsets of arithmetic sums of Cantor sets with controlled Hausdorff dimensions. In particular, we prove that has Hausdorff dimension strictly smaller than one.
Keywords
Cite
@article{arxiv.1708.06258,
title = {$HD(M\setminus L)<0.986927$},
author = {Carlos Matheus and Carlos Gustavo Moreira},
journal= {arXiv preprint arXiv:1708.06258},
year = {2019}
}
Comments
16 pages, no figures. This preprint became a portion of the latest version of arXiv:1803.01230 and, for this reason, we are withdrawing it