2 citations · 2 across the 6 of their papers we have counts for
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Projections of sets with optimal oracles onto -planes
Jacob B. Fiedler, Zhifan Jing
We prove a Kaufman-type exceptional set estimate for sets in that have optimal oracles, a class of sets that strictly contains the analytic sets and sets with equal…
The information content of points on lines and -plane extensions
Jacob B. Fiedler
We prove a new lower bound on the algorithmic information content of points lying on a line in . More precisely, we show that a typical point on any line s…
On the packing dimension of unions and extensions of -planes
Jacob B. Fiedler
We study the packing dimension of unions of subsets of -planes in using tools from algorithmic information theory, obtaining an analog of a result of Héra and a m…
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…
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…
Bounds on the dimension of lineal extensions
Ryan E. G. Bushling, Jacob B. Fiedler
Let be a union of line segments and the set obtained from by extending each line segment in to a full line. Keleti's l…
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…