Fractal dimensions of subfractals induced by sofic subshifts
Dynamical Systems
2016-01-20 v1
Abstract
In this paper, we will consider subfractals of hyperbolic iterated function systems which satisfy the open set condition. The subfractals will consist of points associated with infinite strings from a subshift of finite type or sofic subshift on the symbolic space. We find that the zeros of the lower and upper topological pressure functions are lower and upper bounds, respectively, for the Hausdorff, packing, lower and upper box dimensions of the subfractal.
Cite
@article{arxiv.1601.04987,
title = {Fractal dimensions of subfractals induced by sofic subshifts},
author = {Elizabeth Sattler},
journal= {arXiv preprint arXiv:1601.04987},
year = {2016}
}