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math.MG2004
Separated sets and the Falconer conjecture for polygonal norms
Sergei Konyagin, Izabella Laba
The Falconer conjecture asserts that if E is a planar set with Hausdorff dimension strictly greater than 1, then its Euclidean distance set has positive one-dimensional Lebesgue me…
math.CA2004★ 2 cited
Wolff's inequality for hypersurfaces
Izabella Laba, Malabika Pramanik
We extend Wolff's "local smoothing" inequality to a wider class of not necessarily conical hypersurfaces of codimension 1. This class includes surfaces with nonvanishing curvature,…