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

Showing 2010Show all

2 papers · 1 filter

math.GR2010★ 8 cited

On the cardinality of sumsets in torsion-free groups

Károly J. Böröczky, Péter P. Pálfy, Oriol Serra

Let $A, B$ be finite subsets of a torsion-free group $G$ . We prove that for every positive integer $k$ there is a $c (k)$ such that if $∣ B ∣ \geq c (k)$ then the inequality $|AB|\ge |A|…

math.MG2010★ 1 cited

Stability results for the volume of random simplices

Gergely Ambrus, Károly J. Böröczky

It is known that for a convex body K in R^d of volume one, the expected volume of random simplices in K is minimised if K is an ellipsoid, and for d = 2, maximised if K is a triang…