Fractal attractors induced by \beta-shifts
Dynamical Systems
2019-09-11 v3
Abstract
We describe a class of fractal attractors induced by \beta-shifts. We use a coding by these shifts to show that the systems are mixing with topological entropy log \beta and have an ergodic measure of full entropy. Moreover we determine the Hausdorff dimension of the attractor.
Cite
@article{arxiv.1807.04491,
title = {Fractal attractors induced by \beta-shifts},
author = {Jörg Neunhäuserer},
journal= {arXiv preprint arXiv:1807.04491},
year = {2019}
}
Comments
Revised