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math.CA2012★ 21 cited
Near Equality in the Brunn-Minkowski Inequality
Michael Christ
A pair of subsets of Euclidean space which nearly achieves equality in the Brunn-Minkowski inequality must nearly coincide with a pair of homothetic convex sets. The two-dimensiona…
math.CA2012★ 15 cited
Near equality in the two-dimensional Brunn-Minkowski inequality
Michael Christ
If a pair of subsets of two-dimensional Euclidean space nearly achieves equality in the Brunn-Minkowski inequality, in the sense that the measure of the associated sumset is nearly…