Upper bounds for the Hausdorff dimension of Weierstrass curves
Dynamical Systems
2023-01-13 v1
Abstract
We produce an upper bound for the Hausdorff dimension of the graph of a Weierstrass-type function. Whilst strictly weaker than existing results, it has the advantage of being directly computable from the theory of hyperbolic iterated function systems.
Keywords
Cite
@article{arxiv.2301.04738,
title = {Upper bounds for the Hausdorff dimension of Weierstrass curves},
author = {Ted Alexander and Tommy Murphy},
journal= {arXiv preprint arXiv:2301.04738},
year = {2023}
}