F. Ivlev

activity

20142023

collaborators

3 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…

math.MG2014

The boundness of distance between two sets of fixed volume inside the multidimensional ball or cube

Fyodor Ivlev

The problem of bounding of the distance between the two bodies of volume $ε$ located inside the $n$ -dimensional body $B$ of unit volume where $n \to \infty$ is considered…

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

The boundness of distance between two sets of fixed volume inside the multidimensional ball or cube

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