Add to ORKGThe conjectured log-Brunn-Minkowski inequality has attracted much interest since its introduction by Böröczky, Lutwak, Yang and Zhang in 2012. In this talk, I shall survey the connections between this inequality and various outstanding problems in convex geometry. Then, I shall discuss the recently discovered local version of the log-Brunn-Minkowski inequality and present a result of the author demonstrating the equivalence of this inequality to the original, 'global' log-Brunn-Minkowski inequality.Non UBCUnreviewedAuthor affiliation: Tel Aviv UniversityGraduat
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...
The conjectured log-Brunn-Minkowski inequality has attracted much interest since its introduction by...
We shall discuss the Log-Brunn-Minkowski conjecture, a conjectured strengthening of the Brunn-Minkow...
2020 Elsevier Inc. In this paper, we confirm the Lp-Brunn-Minkowski inequality conjecture for p clos...
The aim of this note is to show that the local form of the logarithmic Brunn-Minkowski conjecture ho...
In the case of symmetries with respect to n independent linear hyperplanes, a stability version of t...
AbstractFor origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces...
15 pagesWe consider a different $L^p$-Minkowski combination of compact sets in $\mathbb{R}^n$ than t...
For origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces) it is ...
The Brunn-Miknowski inequality gives a lower bound on the Lebesgue measure of a sumset in terms of t...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski i...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski i...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski ...
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...
The conjectured log-Brunn-Minkowski inequality has attracted much interest since its introduction by...
We shall discuss the Log-Brunn-Minkowski conjecture, a conjectured strengthening of the Brunn-Minkow...
2020 Elsevier Inc. In this paper, we confirm the Lp-Brunn-Minkowski inequality conjecture for p clos...
The aim of this note is to show that the local form of the logarithmic Brunn-Minkowski conjecture ho...
In the case of symmetries with respect to n independent linear hyperplanes, a stability version of t...
AbstractFor origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces...
15 pagesWe consider a different $L^p$-Minkowski combination of compact sets in $\mathbb{R}^n$ than t...
For origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces) it is ...
The Brunn-Miknowski inequality gives a lower bound on the Lebesgue measure of a sumset in terms of t...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski i...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski i...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski ...
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...
We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Br...