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20052026
most citedOn the Erdos distinct distance problem in the plane

105 citations · 592 across the 57 of their papers we have counts for

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Showing 2019 · math.CAShow all

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math.CA2019

A sharp square function estimate for the cone in

Larry Guth, Hong Wang, Ruixiang Zhang

We prove a sharp square function estimate for the cone in and consequently the local smoothing conjecture for the wave equation in dimensions.

math.CA2019

Small cap decouplings

Ciprian Demeter, Larry Guth, Hong Wang

We develop a toolbox for proving decouplings into boxes with diameter smaller than the canonical scale. As an application of this new technique, we solve three problems for which e…

math.CA2019

Incidence estimates for well spaced tubes

Larry Guth, Noam Solomon, Hong Wang

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