ON GILP’S GROUP-THEORETIC APPROACH TO FALCONER’S DISTANCE PROBLEM

DOI10.1017/S0017089520000373zbMath1475.28011arXiv1810.00987OpenAlexW3045945590MaRDI QIDQ5009401

Han Yu

Publication date: 23 August 2021

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00987

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Fractals (28A80) Erd?s problems and related topics of discrete geometry (52C10)

Cites Work

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• On the Erdős distinct distances problem in the plane
• On the distance sets of Ahlfors-David regular sets
• A group-theoretic viewpoint on Erdös-Falconer problems and the Mattila integral
• New bounds on the dimensions of planar distance sets
• On Falconer's distance set problem in the plane
• Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
• Dimension growth for iterated sumsets
• On the Hausdorff dimension of pinned distance sets
• DIMENSIONS OF TRIANGLE SETS
• Fourier Analysis and Hausdorff Dimension
• Incidences in three dimensions and distinct distances in the plane
• Weighted restriction estimates and application to Falconer distance set problem

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