Finite trees inside thin subsets of ${\Bbb R}^d$
Classical Analysis and ODEs
2019-03-08 v1
Abstract
Bennett, Iosevich and Taylor proved that compact subsets of , , of Hausdorff dimensions greater than contain chains of arbitrary length with gaps in a non-trivial interval. In this paper we generalize this result to arbitrary tree configurations.
Cite
@article{arxiv.1903.02662,
title = {Finite trees inside thin subsets of ${\Bbb R}^d$},
author = {Alex Iosevich and Krystal Taylor},
journal= {arXiv preprint arXiv:1903.02662},
year = {2019}
}