4 citations · 5 across the 3 of their papers we have counts for
5 papers
High-dimensional limit theorems for random vectors in -balls. II
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
In this article we prove three fundamental types of limit theorems for the -norm of random vectors chosen at random in an -ball in high dimensions. We obtain a central…
High-dimensional limit theorems for random vectors in -balls
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
In this paper, we prove a multivariate central limit theorem for -norms of high-dimensional random vectors that are chosen uniformly at random in an -ball. As a c…
On the expectation of operator norms of random matrices
Olivier Guédon, Aicke Hinrichs, Alexander E. Litvak +1
We prove estimates for the expected value of operator norms of Gaussian random matrices with independent and mean-zero entries, acting as operators from to $\ell_q^n…
Mean Width of Random Perturbations of Random Polytopes
David Alonso-Gutierrez, Joscha Prochno
We prove some "high probability" results on the expected value of the mean width for random perturbations of random polytopes. The random perturbations are considered for Gaussian…
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…