Outputs (12)

Uniform estimates for averages of order statistics of matrices (2015)
Journal Article
Lechner, R., Passenbrunner, M., & Prochno, J. (2015). Uniform estimates for averages of order statistics of matrices. Electronic Communications in Probability, 20, 1-12. https://doi.org/10.1214/ECP.v20-3992

We prove uniform estimates for the expected value of averages of order statistics of matrices interms of their largest entries. As an application, we obtain similar probabilistic estimates for ℓp norms via real interpolation.

On Mean Outer Radii of Random Polytopes (2014)
Journal Article
Alonso-Gutiérrez, D., Dafnis, N., Cifre, M. Á. H., & Prochno, J. (2014). On Mean Outer Radii of Random Polytopes. Indiana University Mathematics Journal, 63(2), 579-595

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 distributed in an isotropic convex body K of $\R^n$. We prove that the... Read More about On Mean Outer Radii of Random Polytopes.