K
Károly J. Böröczky
Researcher at Alfréd Rényi Institute of Mathematics
Publications - 159
Citations - 3188
Károly J. Böröczky is an academic researcher from Alfréd Rényi Institute of Mathematics. The author has contributed to research in topics: Convex body & Polytope. The author has an hindex of 25, co-authored 157 publications receiving 2667 citations. Previous affiliations of Károly J. Böröczky include Hungarian Academy of Sciences & University of Calgary.
Papers
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Journal ArticleDOI
The logarithmic Minkowski problem
TL;DR: In this paper, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume measure of the unit ball of a finite dimensional Banach space.
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The log-Brunn-Minkowski inequality
TL;DR: For origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces) it is conjectured that there exist a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality as discussed by the authors.
Book
Finite Packing and Covering
TL;DR: In this article, the authors provide an in-depth state-of-the-art discussion of the theory of finite packing and coverings by convex bodies and provide a comprehensive treatment of problems whose interplay was not clearly understood before.
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On the Discrete Logarithmic Minkowski Problem
TL;DR: In this paper, a new sufficient condition for the existence of a solution for the logarithmic Minkowski problem is established, which contains the one established by Zhu [70] and the discrete case established by Boroczky et al.