An Incidence Estimate and a Furstenberg Type Estimate for Tubes in $$\mathbb {R}^2$$ R 2
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41_2022_Article_9953.pdf
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Author(s)
Fu, Yuqiu
Gan, Shengwen
Ren, Kevin
Date Issued
July 1, 2022
Publisher
Springer US
Citation
Journal of Fourier Analysis and Applications. 2022 Jul 01;28(4):59
Version
Final published version
Abstract
Abstract
We study the
$$\delta $$
δ
-discretized Szemerédi–Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming tubes satisfy some spacing condition. For both problems, we construct sharp examples that share common features.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00041-022-09953-3
