Full dimensional sets without given patterns

DOI10.14321/REALANALEXCH.36.1.0079zbMath1246.28005OpenAlexW1573648177MaRDI QIDQ416429

Péter Maga

Publication date: 10 May 2012

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d88790d85a305de17850804977cb4834e63fb1b4

zbMATH Keywords

Hausdorff dimensionavoiding patterns

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (17)

Finite configurations in sparse sets ⋮ How large dimension guarantees a given angle? ⋮ Large subsets of Euclidean space avoiding infinite arithmetic progressions ⋮ Equilateral triangles in subsets of \(\mathbb{R}^d\) of large Hausdorff dimension ⋮ On some properties of sparse sets: a survey ⋮ Simplices in thin subsets of Euclidean spaces ⋮ On sets intersecting every square of the plane ⋮ An Explicit Solution for a Multimarginal Mass Transportation Problem ⋮ Unnamed Item ⋮ Large dimensional sets not containing a given angle ⋮ Large sets avoiding patterns ⋮ Sets of large dimension not containing polynomial configurations ⋮ Small sets containing any pattern ⋮ Large Sets Avoiding Rough Patterns ⋮ DIMENSIONS OF TRIANGLE SETS ⋮ Large sets avoiding linear patterns ⋮ Fourier dimension and avoidance of linear patterns

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