arXiv:2301.04738 [math.DS]AbstractReferencesReviewsResources
Upper bounds for the Hausdorff dimension of Weierstrass curves
Published 2023-01-11Version 1
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.
Journal: The PUMP Journal of Undergraduate Research, (2022) 5, 199-205
Categories: math.DS
Subjects: 37C40
Keywords: upper bound, hausdorff dimension, weierstrass curves, hyperbolic iterated function systems, whilst strictly weaker
Tags: journal article
Related articles: Most relevant | Search more
arXiv:math/9201282 [math.DS] (Published 1991-04-12)
The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
arXiv:math/0608002 [math.DS] (Published 2006-07-31)
Hausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space
arXiv:math/9701215 [math.DS] (Published 1997-01-15)
Hausdorff dimension of boundaries of self-affine tiles in R^n