ON CONFIGURATIONS WHERE THE LOOMIS–WHITNEY INEQUALITY IS NEARLY SHARP AND APPLICATIONS TO THE FURSTENBERG SET PROBLEM

DOI10.1112/S0025579314000357zbMath1361.28001arXiv1309.2372OpenAlexW3099388693MaRDI QIDQ5179257

Ruixiang Zhang

Publication date: 19 March 2015

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2372

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Hausdorff and packing measures (28A78) Extremal combinatorics (05D99)

Related Items (3)

Integrability of orthogonal projections, and applications to Furstenberg sets ⋮ Projections in vector spaces over finite fields ⋮ Polynomials with dense zero sets and discrete models of the Kakeya conjecture and the Furstenberg set problem

Cites Work

• A sum-product estimate in finite fields, and applications
• On the Erdős-Volkmann and Katz-Tao ring conjectures
• On the size of Kakeya sets in finite fields
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers

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