9 citations · 22 across the 6 of their papers we have counts for
9 papers
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…
Algorithmic Information Bounds for Distances and Orthogonal Projections
Peter Cholak, Marianna Csörnyei, Neil Lutz +3
We introduce a new technique for proving bounds on the Kolmogorov complexity of geometric objects in Euclidean space, such as points and lines. We apply this technique to prove two…
Hausdorff dimension of Besicovitch sets of Cantor graphs
Iqra Altaf, Marianna Csörnyei, Kornélia Héra
We consider the Hausdorff dimension of planar Besicovitch sets for rectifiable sets , i.e. sets that contain a rotated copy of in each direction. We show that for a large cl…
Closed sets with the Kakeya property
Marianna Csörnyei, Kornélia Héra, Miklós Laczkovich
We say that a planar set has the Kakeya property if there exist two different positions of such that can be continuously moved from the first position to the second wit…
Small unions of affine subspaces and skeletons via Baire category
Alan Chang, Marianna Csörnyei, Kornélia Héra +1
Our aim is to find the minimal Hausdorff dimension of the union of scaled and/or rotated copies of the -skeleton of a fixed polytope centered at the points of a given set. For m…
The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets
Alan Chang, Marianna Csörnyei
We solve the Kakeya needle problem and construct a Besicovitch and a Nikodym set for rectifiable sets.