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Pablo Shmerkin: New results on the dimensions of distance sets

Time: Wed 2017-10-04 14.00 - 14.50

Location: Institut Mittag-Leffler, Auravägen 17, Djursholm

Participating: Pablo Shmerkin, Universidad Torcuato Di Tella

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Abstract: I will present some recent progress on the study of the dimensions of the distance sets of planar sets of Hausdorff dimension larger than $1$. In particular, I will present an almost solution of Falconer's distance set conjecture for sets of equal Hausdorff and packing dimension.