37 citations · 86 across the 19 of their papers we have counts for
25 papers
Minkowski sums with convex curves without pointwise Fourier decay
Alex Iosevich, Zhangze Li, Eyvindur Palsson +2
Let be a compact convex graph and define \[ T(Γ) = \inf \left\{ t: \dim_{\mathrm H}(E)>t \Longrightarrow |E+Γ|>0 \text{ for every compact }E\subset\mathbb R^2…
Positive Measure of Unions of Variable Surfaces
Alex Iosevich, Zhangze Li, Krystal Taylor
Let , , be compact, and let be a smooth function satisfying the Phong--Stein rotational curvature condition on . We prove tha…
Realizing trees of configurations in thin sets
Allan Greenleaf, Alex Iosevich, Krystal Taylor
Let be a continuous function, smooth away from the diagonal, such that, for some , the associated generalized Radon transforms \begin{equation} \label{Radon} R_t^ϕf(x…
Infinite constant gap length trees in products of thick Cantor sets
Alex McDonald, Krystal Taylor
We show that products of sufficiently thick Cantor sets generate trees in the plane with constant distance between adjacent vertices. Moreover, we prove that the set of choices for…
Nonempty interior of configuration sets via microlocal partition optimization
Allan Greenleaf, Alex Iosevich, Krystal Taylor
We prove new results of Mattila-Sjölin type, giving lower bounds on Hausdorff dimensions of thin sets ensuring that various -point configuration sets, genera…
Lattice Points Close to the Heisenberg Spheres
Elizabeth Campolongo, Krystal Taylor
We study a lattice point counting problem for spheres arising from the Heisenberg groups. In particular, we prove an upper bound on the number of points on and near large dilates o…