Alex McDonald

activity

20192026

most citedInfinite constant gap length trees in products of thick Cantor sets

5 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2021 · math.CAShow all

2 papers · 2 filters

math.CA2021

Finite Point configurations in Products of Thick Cantor sets and a Robust Nonlinear Newhouse Gap Lemma

Alex McDonald, Krystal Taylor

In this paper we prove that the set of tuples of edge lengths in $K_{1} \times K_{2}$ corresponding to a finite tree has non-empty interior, where $K_{1}, K_{2} \subset R$ are Cantor…

math.CA2021

Volumes spanned by $k$ point configurations in $R^{d}$

Belmiro Galo, Alex McDonald

Given a $k$ -point configuration $x \in (R^{d})^{k}$ , we consider the $(d k)$ -vector of volumes determined by choosing any $d$ points of $x$ . We prove that a compact set…

Finite Point configurations in Products of Thick Cantor sets and a Robust Nonlinear Newhouse Gap Lemma

Volumes spanned by k point configurations in Rd

Volumes spanned by $k$ point configurations in $R^{d}$