K. Böröczky

activity

20242026

collaborators

3 papers

math.FA2026

$L^{2}$ -stability for the variance Brascamp-Lieb inequality

KÃ¡roly J. BÃ¶rÃ¶czky, Károly J. Böröczky, Yaozhong W. Qiu +1

We prove an $L^{2}$ -stability estimate for the variance Brascamp-Lieb inequality [J. Funct. Anal. 22 (4), 366-389 (1976)] by bootstrapping the recent $L^{1}$ -stability theorem of Macha…

math.MG2025

Approximate isoperimetry for convex polytopes

Keith Ball, KÃ¡roly J. BÃ¶rÃ¶czky, Assaf Naor

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

math.MG2024

Strengthened inequalities for the mean width and the $ℓ$ -norm of origin symmetric convex bodies

KÃ¡roly J. BÃ¶rÃ¶czky, Ferenc Fodor, Daniel Hug

Barthe, Schechtman and SchmuckenschlÃ¤ger proved that the cube maximizes the mean width of symmetric convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the b…

L2-stability for the variance Brascamp-Lieb inequality

Approximate isoperimetry for convex polytopes

Strengthened inequalities for the mean width and the ℓ-norm of origin symmetric convex bodies

$L^{2}$ -stability for the variance Brascamp-Lieb inequality

Strengthened inequalities for the mean width and the $ℓ$ -norm of origin symmetric convex bodies