Incidence estimates for well spaced tubes

Abstract

We prove analogues of the Szemerédi-Trotter theorem and other incidence theorems using $\delta$-tubes in place of straight lines, assuming that the $\delta$-tubes are well-spaced in a strong sense.

arXiv comment17 pages

References in corpus (5)

• On the dimension and smoothness of radial projections
• On the distance sets of AD-regular sets
• Weighted restriction estimates and application to Falconer distance set problem
• Improved bounds for incidences between points and circles
• New bounds on the dimensions of planar distance sets