2 citations · 3 across the 5 of their papers we have counts for
5 papers
A general functional version of Grünbaum's inequality
David Alonso-Gutiérrez, Francisco Marín Sola, Javier Martín Goñi +1
A classical inequality by Grünbaum provides a sharp lower bound for the ratio , where denotes the intersection of a convex body with no…
The variance conjecture on hyperplane projections of l_p^n balls
David Alonso-Gutiérrez, Jesús Bastero
We show that for any , the family of random vectors uniformly distributed on hyperplane projections of the unit ball of verify the variance conjecture…
Probabilistic estimates for tensor products of random vectors
David Alonso-Gutierrez, Markus Passenbrunner, Joscha Prochno
We prove some probabilistic estimates for tensor products of random vectors. As an application we obtain embeddings of certain matrix spaces into .
On the Gaussian behavior of marginals and the mean width of random polytopes
David Alonso-Gutierrez, Joscha Prochno
We show that the expected value of the mean width of a random polytope generated by random vectors () uniformly distributed in an isotropic convex body…
Estimating Support Functions of Random Polytopes via Orlicz Norms
David Alonso-Gutierrez, Joscha Prochno
We study the expected value of support functions of random polytopes in a certain direction, where the random polytope is given by independent random vectors uniformly distributed…