Intersections of thick compact sets in \(\mathbb{R}^d\)
From MaRDI portal
Publication:2672671
DOI10.1007/s00209-022-02992-yOpenAlexW4212832675MaRDI QIDQ2672671
Alexia Yavicoli, Kenneth J. Falconer
Publication date: 13 June 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.01186
Contents, measures, outer measures, capacities (28A12) Fractals (28A80) Arithmetic progressions (11B25) Hausdorff and packing measures (28A78)
Related Items (3)
On a topological Erdős similarity problem ⋮ Finite point configurations in products of thick Cantor sets and a robust nonlinear Newhouse Gap Lemma ⋮ Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4--9, 2023
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite configurations in sparse sets
- On polynomial configurations in fractal sets
- Arithmetic progressions in sets of fractional dimension
- Sets of large dimension not containing polynomial configurations
- Patterns in thick compact sets
- Construction of one-dimensional subsets of the reals not containing similar copies of given patterns
- When Cantor Sets Intersect Thickly
- On the intersections of transforms of linear sets
- Sets with Large Intersection Properties
- Cantor sets and numbers with restricted partial quotients
- Large sets avoiding linear patterns
- A complex Gap lemma
- Small sets containing any pattern
- Quantitative results using variants of Schmidt’s game: Dimension bounds, arithmetic progressions, and more
- A \(1\)-dimensional subset of the reals that intersects each of its translates in at most a single point
This page was built for publication: Intersections of thick compact sets in \(\mathbb{R}^d\)