HUN-REN Alfréd Rényi Institute of Mathematics

output

19942026

most citedBrownian distance covariance

857 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2022 · math.MGShow all

6 papers · 2 filters

math.MG2022★ 3 cited

Functional John and Löwner conditions for pairs of log-concave functions

Grigory Ivanov, Márton Naszódi

John's fundamental theorem characterizing the largest volume ellipsoid contained in a convex body $K$ in $R^{d}$ has seen several generalizations and extensions. One directi…

math.MG2022★ 6 cited

Quantitative Steinitz Theorem: A polynomial bound

Grigory Ivanov, Márton Naszódi

The classical Steinitz theorem states that if the origin belongs to the interior of the convex hull of a set $S \subset R^{d}$ , then there are at most $2 d$ points of $S$ who…

math.MG2022★ 4 cited

The density of planar sets avoiding unit distances

Gergely Ambrus, Adrián Csiszárik, Máté Matolcsi +2

By improving upon previous estimates on a problem posed by L. Moser, we prove a conjecture of Erdős that the density of any measurable planar set avoiding unit distances cannot exc…

math.MG2022★ 10 cited

Isometric rigidity of Wasserstein tori and spheres

György Pál Gehér, Tamás Titkos, Dániel Virosztek

We prove isometric rigidity for $p$ -Wasserstein spaces over finite-dimensional tori and spheres for all $p$ . We present a unified approach to proving rigidity that relies on the ro…

math.MG2022★ 4 cited

Two-colorings of normed spaces without long monochromatic unit arithmetic progressions

Valeriya Kirova, Arsenii Sagdeev

Given a natural $n$ , we construct a two-coloring of $R^{n}$ with the maximum metric satisfying the following. For any finite set of reals $S$ with diameter greater than $5^{…

math.MG2022★ 7 cited

Odd-distance and right-equidistant sets in the maximum and Manhattan metrics

Alexander Golovanov, Andrey Kupavskii, Arsenii Sagdeev

We solve two related extremal-geometric questions in the $n -$ dimensional space $R_{\infty}^{n}$ equipped with the maximum metric. First, we prove that the maximum size of a…