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On necklaces inside thin subsets of \(\mathbb{R}^d\)

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Publication:1707233
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DOI10.4310/MRL.2017.v24.n2.a4zbMath1390.28020OpenAlexW2963496017MaRDI QIDQ1707233

Allan Greenleaf, Malabika Pramanik, Alexander Iosevich

Publication date: 29 March 2018

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2017.v24.n2.a4



Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fractals (28A80)


Related Items (12)

Density theorems for anisotropic point configurations ⋮ Rigidity, Graphs and Hausdorff Dimension ⋮ Embedding distance graphs in finite field vector spaces ⋮ On k ‐point configuration sets with nonempty interior ⋮ A Mattila-Sjölin theorem for triangles ⋮ Finite point configurations in products of thick Cantor sets and a robust nonlinear Newhouse Gap Lemma ⋮ On some properties of sparse sets: a survey ⋮ Embedding bipartite distance graphs under Hamming metric in finite fields ⋮ Nonempty interior of configuration sets via microlocal partition optimization ⋮ Large sets avoiding patterns ⋮ Configuration sets with nonempty interior ⋮ Fourier dimension and avoidance of linear patterns






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