Sets with optimal oracles satisfy a Kaufman-type bound on the size of exceptional k-plane projections, generalizing Marstrand's theorem via effective descriptive set theory.
Stull,Pinned distance sets using effective dimension, arXiv preprint 2207.12501 (2022)
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Under dim_H E >1, dim_H E + dim_H F >2 and F regular (equal Hausdorff and packing dimensions), there exists y in F such that the pinned distance set Δ_y(E) has positive Lebesgue measure.
citing papers explorer
-
Projections of sets with optimal oracles onto $k$-planes
Sets with optimal oracles satisfy a Kaufman-type bound on the size of exceptional k-plane projections, generalizing Marstrand's theorem via effective descriptive set theory.
-
Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates
Under dim_H E >1, dim_H E + dim_H F >2 and F regular (equal Hausdorff and packing dimensions), there exists y in F such that the pinned distance set Δ_y(E) has positive Lebesgue measure.