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 2020Show all

3 papers · 1 filter

math.CA2020★ 2 cited

Finite Point Configurations and the Regular Value Theorem in a Fractal setting

Yumeng Ou, Krystal Taylor

In this article, we study two problems concerning the size of the set of finite point configurations generated by a compact set $E \subset R^{d}$ . The first problem concerns…

math.CA2020★ 11 cited

On $k$ -point configuration sets with nonempty interior

Allan Greenleaf, Alex Iosevich, Krystal Taylor

We give conditions for $k$ -point configuration sets of thin sets to have nonempty interior, applicable to a wide variety of configurations. This is a continuation of our earlier wo…

math.CA2020

Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set

Laura Cladek, Blair Davey, Krystal Taylor

The Favard length of a subset of the plane is defined as the average of its orthogonal projections. This quantity is related to the probabilistic Buffon needle problem; that is, th…

Finite Point Configurations and the Regular Value Theorem in a Fractal setting

On k-point configuration sets with nonempty interior

Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set

On $k$ -point configuration sets with nonempty interior