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math.CA2024
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…
math.CA2024
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…
math.CA2024
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…