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JOURNALS
// Matematicheskie Zametki
// Archive
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. Ivlev
ab
,
A. Ya. Kanel
ab
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
Fulltext:
PDF file (387 kB)
References
English version:
Mathematical Notes, 2020,
107
:6,
972–976
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2026