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Incidence estimates for tubes in complex space

  • Sarah Tammen

    University of Wisconsin - Madison, USA

  • Lingxian Zhang

    Southern University of Science and Technology, Shenzhen, P. R. China
Incidence estimates for tubes in complex space cover

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Abstract

In this paper, we prove a complex version of the incidence estimate of Guth, Solomon and Wang (2019) for tubes obeying certain strong spacing conditions, and we use one of our new estimates to resolve a discretized variant of Falconer’s distance set problem in .

Cite this article

Sarah Tammen, Lingxian Zhang, Incidence estimates for tubes in complex space. J. Fractal Geom. (2026), published online first

DOI 10.4171/JFG/185