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math.MG2016★ 1 cited
A center transversal theorem for an improved Rado depth
Pavle V. M. Blagojević, Roman Karasev, Alexander Magazinov
A celebrated result of Dol'nikov, and of Živaljević and Vrećica, asserts that for every collection of measures on the Euclidean space th…
math.MG2016
An improvement on the Rado bound for the centerline depth
Alexander Magazinov, Attila Pór
Let be a Borel probability measure in . For a -flat consider the value , where runs through all half-spaces containing . This infimum is c…