73 citations · 282 across the 34 of their papers we have counts for
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math.PR2018
Facets of high-dimensional Gaussian polytopes
Karoly J Boroczky, Gabor Lugosi, Matthias Reitzner
We study the number of facets of the convex hull of n independent standard Gaussian points in d-dimensional Euclidean space. In particular, we are interested in the expected number…
math.PR2016★ 1 cited
Strengthened volume inequalities for L_p zonoids of even isotropic measures
Karoly J. Boroczky, Ferenc Fodor, Daniel Hug
We strengthen the volume inequalities for L_p zonoids of even isotropic measures and for their duals, which are due to Ball, Barthe and Lutwak, Yang, Zhang. Along the way, we prove…
math.PR2009★ 24 cited
Stability of the Prékopa-Leindler inequality
Károly J. Böröczky, Keith M. Ball
We prove a stability version of the Prékopa-Leindler inequality.