Jacob B. Fiedler

activity

20242026

collaborators

4 papers

math.CA2026

Projections of sets with optimal oracles onto $k$ -planes

Jacob B. Fiedler, Zhifan Jing

We prove a Kaufman-type exceptional set estimate for sets in $R^{n}$ that have optimal oracles, a class of sets that strictly contains the analytic sets and sets with equal…

math.CA2025

The information content of points on lines and $k$ -plane extensions

Jacob B. Fiedler

We prove a new lower bound on the algorithmic information content of points lying on a line in $R^{n}$ . More precisely, we show that a typical point $z$ on any line $ℓ$ s…

math.CA2025

On the packing dimension of unions and extensions of $k$ -planes

Jacob B. Fiedler

We study the packing dimension of unions of subsets of $k$ -planes in $R^{n}$ using tools from algorithmic information theory, obtaining an analog of a result of Héra and a m…

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 $R^{2}$ . We say that a set of directions $D \subseteq\mathc…

Projections of sets with optimal oracles onto k-planes

The information content of points on lines and k-plane extensions

On the packing dimension of unions and extensions of k-planes

Universal Sets for Projections

Projections of sets with optimal oracles onto $k$ -planes

The information content of points on lines and $k$ -plane extensions

On the packing dimension of unions and extensions of $k$ -planes