On Falconer’s Distance Set Conjecture

M. Burak Erdoğan

doi:10.4171/rmi/468

JournalsrmiVol. 22, No. 2pp. 649–662

On Falconer’s Distance Set Conjecture

M. Burak Erdoğan
University of Illinois, Urbana, United States

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Abstract

In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions $d \geq 3$ .

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M. Burak Erdoğan, On Falconer’s Distance Set Conjecture. Rev. Mat. Iberoam. 22 (2006), no. 2, pp. 649–662

DOI 10.4171/RMI/468