3 citations · 4 across the 4 of their papers we have counts for
4 papers
Orlicz Mixed Affine Quermassintegrals
Nikos Dafnis
Lutwak's notion of affine quermassintegrals of a convex body quickly became of great importance in convex and affine geometry and more recently, also in asymptotic geometric analys…
An inequality for moments of log-concave functions on Gaussian random vectors
Nikos Dafnis, Grigoris Paouris
We prove a sharp moment inequality for a log-concave or a log-convex function, on Gaussian random vectors. As an application we take a stability result for the classical logarithmi…
Improved Hölder and reverse Hölder inequalities for correlated Gaussian random vectors
Wei-Kuo Chen, Nikos Dafnis, Grigoris Paouris
We propose algebraic criteria that yield sharp Hölder types of inequalities for the product of functions of Gaussian random vectors with arbitrary covariance structure. While our l…
On mean outer radii of random polytopes
David Alonso-Gutierrez, Nikos Dafnis, Maria A. Hernandez Cifre +1
In this paper we introduce a new sequence of quantities for random polytopes. Let $K_N=\conv\{X_1,...,X_N\}$ be a random polytope generated by independent random vectors uniformly…