K. Böröczky

activity

20092025

most citedVolume product of planar polar convex bodies --- lower estimates with stability

5 citations · 10 across the 4 of their papers we have counts for

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math.MG2025

Approximate isoperimetry for convex polytopes

Keith Ball, Károly J. Böröczky, Assaf Naor

For all $n, ϕ \in N$ with $ϕ ⩾ n + 1$ , the smallest possible isoperimetric quotient of an $n$ -dimensional convex polytope that has $ϕ$ facets is shown to be bounded fro…

math.MG2018

$SL (m, C)$ -equivariant and translation covariant continuous tensor valuations

Judit Abardia-Evéquoz, Károly J. Böröczky, Mátyás Domokos +1

The space of continuous, $SL (m, C)$ -equivariant, $m \geq 2$ , and translation covariant valuations taking values in the space of real symmetric tensors on $C^{m} ≅ R^{2 m}$ of r…

math.MG2015★ 5 cited

Volume product of planar polar convex bodies --- lower estimates with stability

K. J. Böröczky, E. Makai, M. Meyer +1

Let $K \subset R^{2}$ be an $o$ -symmetric convex body, and $K^{*}$ its polar body. Then we have $∣ K ∣ \cdot ∣ K^{*} ∣ \geq 8$ , with equality if and only if $K$ is a parallelogram. (…

math.MG2009★ 4 cited

Stability of some versions of the Prékopa-Leindler inequality

Károly J. Böröczky, Keith M. Ball

Two consequences of the stability version of the one dimensional Prékopa-Leindler inequality are presented. One is the stability version of the Blaschke-Santaló inequality, and the…

math.MG2009★ 1 cited

The mean width of circumscribed random polytopes

Károly J. Böröczky, Rolf Schneider

For a given convex body K in $R^{d}$ , a random polytope $K^{(n)}$ is defined (essentially) as the intersection of $n$ independent closed halfspaces containing $K$ and having an isotr…

Approximate isoperimetry for convex polytopes

SL(m,C)-equivariant and translation covariant continuous tensor valuations

Volume product of planar polar convex bodies --- lower estimates with stability

Stability of some versions of the Prékopa-Leindler inequality

The mean width of circumscribed random polytopes

$SL (m, C)$ -equivariant and translation covariant continuous tensor valuations