Sets of large dimension not containing polynomial configurations
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Publication:2012506
DOI10.1016/j.aim.2017.01.002zbMath1371.28007arXiv1201.0548OpenAlexW1500831531MaRDI QIDQ2012506
Publication date: 1 August 2017
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.0548
Related Items (13)
Finite configurations in sparse sets ⋮ How large dimension guarantees a given angle? ⋮ Intersections of thick compact sets in \(\mathbb{R}^d\) ⋮ Large subsets of Euclidean space avoiding infinite arithmetic progressions ⋮ On some properties of sparse sets: a survey ⋮ An Explicit Solution for a Multimarginal Mass Transportation Problem ⋮ Unnamed Item ⋮ A framework for constructing sets without configurations ⋮ Small sets containing any pattern ⋮ Large Sets Avoiding Rough Patterns ⋮ Patterns in thick compact sets ⋮ Large sets avoiding linear patterns ⋮ Fourier dimension and avoidance of linear patterns
Cites Work
- How large dimension guarantees a given angle?
- Full dimensional sets without given patterns
- Large dimensional sets not containing a given angle
- On a problem of Erdős on fractal combinatorial geometry
- Construction of one-dimensional subsets of the reals not containing similar copies of given patterns
- The Realization of small Distances in Plane Sets of Positive Measure
- On the Hausdorff dimensions of distance sets
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