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- Moscow Institute of Physics and TechnologyRU332 papers
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Showing 2016 · math.MGShow all
4 papers · 2 filters
math.MG2016★ 9 cited
Pairwise intersecting homothets of a convex body
Alexandr Polyanskii
We show that the maximum number of pairwise intersecting positive homothets of a -dimensional centrally symmetric convex body, none of which contains the center of another in it…
math.MG2016★ 5 cited
A tight estimate for the waist of the ball
Arseniy Akopyan, Roman Karasev
We answer a question of M. Gromov on the waist of the unit ball.
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★ 7 cited
Some Remarks on the Circumcenter of Mass
Arseniy Akopyan
In this article we give new proofs for the existence and basic properties of the cirucmcenter of mass defined by V. E. Adler in 1993 and S. Tabachnikov and E. Tsukerman in 2013.