K. Böröczky

activity

20092020

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

5 citations · 10 across the 3 of their papers we have counts for

collaborators

5 papers

math.FA2020

Dimension of the space of unitary equivariant translation invariant tensor valuations

K. J. Böröczky, M. Domokos, G. Solanes

Following the work of Semyon Alesker in the scalar valued case and of Thomas Wannerer in the vector valued case, the dimensions of the spaces of continuous translation invariant an…

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…