K. Taylor

activity

20102026

most citedFinite Chains inside Thin Subsets of

R^{d}

37 citations · 86 across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CA2019★ 24 cited

Configuration sets with nonempty interior

Allan Greenleaf, Alex Iosevich, Krystal Taylor

A theorem of Steinhaus states that if $E \subset R^{d}$ has positive Lebesgue measure, then the difference set $E - E$ contains a neighborhood of $0$ . Similarly, if $E$ merely h…

math.CA2019

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

Alex Iosevich, Krystal Taylor

Bennett, Iosevich and Taylor proved that compact subsets of $R^{d}$ , $d \geq 2$ , of Hausdorff dimensions greater than $\frac{d + 1}{2}$ contain chains of arbitrary length with ga…

Configuration sets with nonempty interior

Finite trees inside thin subsets of Rd

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