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 2011Show all

2 papers · 1 filter

math.CA2011

On the Mattila-Sjolin theorem for distance sets

Alex Iosevich, Mihalis Mourgoglou, Krystal Taylor

We extend a result, due to Mattila and Sjolin, which says that if the Hausdorff dimension of a compact set $E \subset R^{d}$ , $d \geq 2$ , is greater than $\frac{d + 1}{2}$ , then…

math.CA2011

Lattice points close to families of surfaces, non-isotropic dilations and regularity of generalized Radon transforms

Alex Iosevich, Krystal Taylor

We prove that if $ϕ : R^{d} \times R^{d} \to R$ , $d \geq 2$ , is a homogeneous function, smooth away from the origin and having non-zero Monge-Ampere determinant away…