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Mat. Zametki, 2020 Volume 107, Issue 6, Pages 888–893 (Mi mzm12617)

Estimating the Distance between Two Bodies inside an $n$-Ball of Unit Volume

F. A. Ivlevab, A. Ya. Kanelab

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b Shenzhen University

Abstract: The problem of estimating the distance between two bodies of volume $\varepsilon$ inside an $n$-dimensional ball $U$ of unit volume as $n \to \infty$ is considered.

Keywords: minimal surface, multidimensional geometry, limit theorems.

UDC: 517

Received: 21.11.2019

DOI: 10.4213/mzm12617


 English version:
Mathematical Notes, 2020, 107:6, 972–976

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© Steklov Math. Inst. of RAS, 2026