K. Böröczky

activity

20092026

most citedThe

L_{p}

dual Minkowski problem for

p > 1

and

q > 0

73 citations · 282 across the 34 of their papers we have counts for

collaborators

38 papers

math.FA2026

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

Károly J. Böröczky, Yaozhong W. Qiu, Cyril Roberto

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, 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.FA2023

Uniqueness when the $L_{p}$ curvature is close to be a constant for $p \in [0, 1)$

Károly J. Böröczky, Christos Saroglou

For fixed positive integer $n$ , $p \in [0, 1]$ , $a \in (0, 1)$ , we prove that if a function $g : S^{n - 1} \to R$ is sufficiently close to 1, in the $C^{a}$ sense, then there…

math.AP2023

Anisotropic flow, entropy and $L^{p}$ -Minkowski problem

Károly J. Böröczky, Pengfei Guan

We provide a natural simple argument using anistropic flows to prove the existence of weak solutions to Lutwak's $L^{p}$ -Minkowski problem on $S^{n}$ which were obtained by other metho…

math.MG2023

Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space

Károly J. Böröczky, András Csépai, Ádám Sagmeister

We discuss basic properties of several different width functions in the $n$ -dimensional hyperbolic space such as continuity, and we also define a new hyperbolic width as the extens…

math.MG2023

A quantitative stability result for the sphere packing problem in dimensions 8 and 24

Károly J. Böröczky, Danylo Radchenko, João P. G. Ramos

We prove explicit stability estimates for the sphere packing problem in dimensions 8 and 24, showing that, in the lattice case, if a lattice is $\sim ε$ close to satisfyi…

L2-stability for the variance Brascamp-Lieb inequality