English

Sets with Arbitrarily Slow Favard Length Decay

Classical Analysis and ODEs 2017-07-27 v1

Abstract

In this article, we consider the concept of the decay of the Favard length of ε\varepsilon-neighborhoods of purely unrectifiable sets. We construct non-self-similar Cantor sets for which the Favard length decays arbitrarily with respect to ε\varepsilon.

Cite

@article{arxiv.1707.08137,
  title  = {Sets with Arbitrarily Slow Favard Length Decay},
  author = {Bobby Wilson},
  journal= {arXiv preprint arXiv:1707.08137},
  year   = {2017}
}
R2 v1 2026-06-22T20:57:14.544Z