3 citations · 9 across the 13 of their papers we have counts for
6 papers · 1 filter
Hyperplane Incidences and Distance Sets in Higher Dimensions
Marianna Csornyei, D. M. Stull
We generalize Ren and Wang's incidence bound between points and lines in \cite{RenWan23} to higher dimensions. We show how to use this incidence bound to improve the best kn…
Improved bounds for radial projections in the plane
Marianna Csornyei, D. M. Stull
We improve the best known lower bound for the dimension of radial projections of sets in the plane. We show that if are Borel sets in , is not contained in any line…
Universal Sets for Projections
Jacob B. Fiedler, D. M. Stull
We investigate variants of Marstrand's projection theorem that hold for sets of directions and classes of sets in . We say that a set of directions $D \subseteq\mathc…
Bounding the dimension of exceptional sets for orthogonal projections
Peter Cholak, Marianna Csornyei, Neil Lutz +3
It is well known that if is an analytic set of Hausdorff dimension , then for a.e.\ , where denotes t…
Pinned distances of planar sets with low dimension
Jacob B. Fiedler, D. M. Stull
In this paper, we give improved bounds on the Hausdorff dimension of pinned distance sets of planar sets with dimension strictly less than one. As the planar set becomes more regul…
Dimension of Pinned Distance Sets for Semi-Regular Sets
Jacob B. Fiedler, D. M. Stull
We prove that if is analytic and , there are ``many'' points such that the Hausdorff dimension of the pinned distance set is at…