Sets of large dimension not containing polynomial configurations

DOI10.1016/j.aim.2017.01.002zbMath1371.28007arXiv1201.0548OpenAlexW1500831531MaRDI QIDQ2012506

András Máthé

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

zbMATH Keywords

angleHausdorff dimensiondistance setexcluded configurations

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sets of large dimension not containing polynomial configurations