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arXiv · 1903.02662

Finite trees inside thin subsets of ${\Bbb R}^d$

Alex Iosevich·Krystal Taylor
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Abstract

Bennett, Iosevich and Taylor proved that compact subsets of ${\Bbb R}^d$, $d \ge 2$, of Hausdorff dimensions greater than $\frac{d+1}{2}$ contain chains of arbitrary length with gaps in a non-trivial interval. In this paper we generalize this result to arbitrary tree configurations.

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Alex Iosevich, Krystal Taylor. 2019-03-06. Finite trees inside thin subsets of ${\Bbb R}^d$. https://arxiv.org/abs/1903.02662

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