Indecomposable continua in exponential dynamics-Hausdorff dimension
Dynamical Systems
2014-06-02 v1
Abstract
We study some forward invariant sets appearing in the dynamics of the exponential family. We prove that the Hausdorff dimension of the sets under consideration is not larger than . This allows us to prove, as a consequence, a result for some dynamically defined indecomposable continua which appear in the dynamics of the exponential family. We prove that the Hausdorff dimension of these continua is equal to one.
Cite
@article{arxiv.1405.7784,
title = {Indecomposable continua in exponential dynamics-Hausdorff dimension},
author = {Lukasz Pawelec and Anna Zdunik},
journal= {arXiv preprint arXiv:1405.7784},
year = {2014}
}