4 citations · 8 across the 11 of their papers we have counts for
10 papers · 1 filter
A discrete approach to Zhang's projection inequality
David Alonso-Gutiérrez, Eduardo Lucas, Javier Martín Goñi
In this paper we will provide a new proof of the fact that for any convex body $$ \frac{{{2n}\choose{n}}}{n^n}n\int_0^\infty r^{n-1}\vol_n(K\cap(re_n+K))dr\leq\fra…
John's ellipsoid and the integral ratio of a log-concave function
David Alonso-Gutiérrez, Bernardo González Merino, Carlos Hugo Jiménez +1
We extend the notion of John's ellipsoid to the setting of integrable log-concave functions. This will allow us to define the integral ratio of a log-concave function, which will e…
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 Distribution of Random variables corresponding to Musielak-Orlicz norms
David Alonso-Gutierrez, Soeren Christensen, Markus Passenbrunner +1
Given a normalized Orlicz function we provide an easy formula for a distribution such that, if is a random variable distributed accordingly and are independen…
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…