F. Ivlev

collaborators

2 papers

math.MG2023

Dimension-free estimates on distances between subsets of volume $ε$ inside a unit-volume body

Abdulamin Ismailov, Alexei Kanel-Belov, Fyodor Ivlev

Average distance between two points in a unit-volume body $K \subset R^{n}$ tends to infinity as $n \to \infty$ . However, for two small subsets of volume $ε > 0$ t…

math.MG2019

Estimation of the distance between two bodies inside an $n$ -dimensional ball of unit volume

F. Ivlev, A. Kanel-Belov

We consider the problem of estimating the distance between two bodies of volume $ε$ located inside a $n$ -dimensional ball $U$ of unit volume for $n \to \infty$ . Let $A$ be…

Dimension-free estimates on distances between subsets of volume ε inside a unit-volume body

Estimation of the distance between two bodies inside an n-dimensional ball of unit volume

Dimension-free estimates on distances between subsets of volume $ε$ inside a unit-volume body

Estimation of the distance between two bodies inside an $n$ -dimensional ball of unit volume