Szemerédi-Trotter bounds for tubes and applications

Fuente: arXiv
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Auteurs principaux: Demeter, Ciprian, Wang, Hong
Format: Preprint
Publié: 2024
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author Demeter, Ciprian
Wang, Hong
author_facet Demeter, Ciprian
Wang, Hong
contents We prove sharp estimates for incidences involving planar tubes that satisfy packing conditions. We apply them to improve the estimates for the Fourier transform of fractal measures supported on planar curves.
format Preprint
id arxiv_https___arxiv_org_abs_2406_06884
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Szemerédi-Trotter bounds for tubes and applications
Demeter, Ciprian
Wang, Hong
Classical Analysis and ODEs
We prove sharp estimates for incidences involving planar tubes that satisfy packing conditions. We apply them to improve the estimates for the Fourier transform of fractal measures supported on planar curves.
title Szemerédi-Trotter bounds for tubes and applications
topic Classical Analysis and ODEs
url https://arxiv.org/abs/2406.06884