David Alonso–Gutiérrez

activity

20122024

most citedOn the Gaussian behavior of marginals and the mean width of random polytopes

2 citations · 3 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.FA2016

The variance conjecture on hyperplane projections of l_p^n balls

David Alonso-Gutiérrez, Jesús Bastero

We show that for any $1 \leq p \leq \infty$ , the family of random vectors uniformly distributed on hyperplane projections of the unit ball of $ℓ_{p}^{n}$ verify the variance conjecture…

math.FA2014

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 $L_{1}$ .

math.FA2012★ 2 cited

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 $N$ random vectors ( $n \leq N \leq e^{n}$ ) uniformly distributed in an isotropic convex body…

math.FA2012★ 1 cited

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…