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19942026
most citedBrownian distance covariance

857 citations

Showing 2023 · math.MGShow all

8 papers · 2 filters

math.MG2023

On Axial Symmetry in Convex Bodies

Ritesh Goenka, Kenneth Moore, Wen Rui Sun +1

For a two-dimensional convex body, the Kovner-Besicovitch measure of symmetry is defined as the volume ratio of the largest centrally symmetric body contained inside the body to th…

math.MG2023★ 2 cited

Isometric rigidity of Wasserstein spaces over Euclidean spheres

György Pál Gehér, Aranka Hrušková, Tamás Titkos +1

We study the structure of isometries of the quadratic Wasserstein space over the sphere endowed with the distance inherited from…

math.MG2023★ 4 cited

A note on Borsuk's problem in Minkowski spaces

Andrei M. Raigorodskii, Arsenii Sagdeev

In 1993, Kahn and Kalai famously constructed a sequence of finite sets in -dimensional Euclidean spaces that cannot be partitioned into less than …

math.MG2023★ 1 cited

Non-diagonal critical central sections of the cube

Gergely Ambrus, Barnabás Gárgyán

We study the -dimensional volume of central hyperplane sections of the -dimensional cube . Our main goal is two-fold: first, we provide an alternative, simpler argum…

math.MG2023

On optimal -separable packings in the plane

Károly Bezdek, Zsolt Lángi

Let be a packing of circular disks of radius in the Euclidean, spherical, or hyperbolic plane. Let . We say that is a -separable p…

math.MG2023

Isometric rigidity of the Wasserstein space over Carnot groups

Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek

This paper aims to study isometries of the -Wasserstein space over Carnot groups endowed with horizontally strictly convex norms. Well-known examples…

math.MG2023★ 4 cited

Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group

Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek

Our purpose in this paper is to study isometries and isometric embeddings of the -Wasserstein space over the Heisenberg group for al…

math.MG2023★ 3 cited

Colorful Vector Balancing

Gergely Ambrus, Rainie Bozzai

We extend classical estimates for the vector balancing constant of equipped with the Euclidean and the maximum norms proved in the 1980's by showing that for …