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math.CA2025
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…
cs.CC2025
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…