The dimension of projections induced by a curve
Metric Geometry
2020-01-01 v2 Information Theory
Classical Analysis and ODEs
math.IT
Logic
Abstract
The behavior of the Hausdorff dimension of a set when projected onto a subspace is a fundamental question in fractal geometry. In this paper, we settle a question of Fassler and Orponen concerning the dimension of a set when projected onto a family of lines induced by a curve.
Cite
@article{arxiv.1912.08060,
title = {The dimension of projections induced by a curve},
author = {D. M. Stull},
journal= {arXiv preprint arXiv:1912.08060},
year = {2020}
}
Comments
The zero finding algorithm (Theorem 5) is seriously flawed. Although possible to compute the zero by adding an approximation of | <\dot{gamma}(\theta), w> | to the advice string, doing so might increase the advice strings length by too large an amount