On dynamics of the Sierpi\'nski carpet
Dynamical Systems
2017-11-29 v2
Abstract
We prove that the Sierpi\'nski curve admits a homeomorphism with strong mixing properties. We also prove that the constructed example does not have Bowen's specification property.
Keywords
Cite
@article{arxiv.1511.03081,
title = {On dynamics of the Sierpi\'nski carpet},
author = {Jan P. Boroński and P. Oprocha},
journal= {arXiv preprint arXiv:1511.03081},
year = {2017}
}
Comments
revised version