Nested Cantor sets
Dynamical Systems
2013-07-29 v2
Abstract
We give sufficient conditions for two Cantor sets of the line to be nested for a positive set of translation parameters. This problem occurs in diophantine approximations. It also occurs as a toy model of the parameter selection for non-uniformly hyperbolic attractors of the plane. For natural Cantors sets, we show that this condition is optimal.
Keywords
Cite
@article{arxiv.1303.0971,
title = {Nested Cantor sets},
author = {Pierre Berger and Carlos Gustavo Moreira},
journal= {arXiv preprint arXiv:1303.0971},
year = {2013}
}
Comments
18p