由曲线诱导的投影的维数
度量几何
2020-01-01 v2 信息论
经典分析与常微分方程
math.IT
逻辑
摘要
集合投影到子空间上时其 Hausdorff 维数的行为是分形几何中的基本问题。在本文中，我们解决了 Fassler 与 Orponen 提出的一个关于集合投影到由曲线诱导的一族直线上时维数的问题。
关键词
引用
@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}
}
备注
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