D. Alonso-Gutiérrez

activity

20072025

most citedOn the Distribution of Random variables corresponding to Musielak-Orlicz norms

4 citations · 8 across the 11 of their papers we have counts for

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math.PR2025

Limit theorems for the distance of random points in $l_{p}^{n}$ -balls

David Alonso-Gutiérrez, Javier Martín Goñi, Joscha Prochno

In this paper, we prove that the Euclidean distance between two independent random vectors uniformly distributed on $l_{p}^{n}$ -balls $(1 \leq p \leq \infty)$ or on its boundary satisf…

math.FA2025

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 $K \subseteq R^{n}$ $$ \frac{{{2n}\choose{n}}}{n^n}n\int_0^\infty r^{n-1}\vol_n(K\cap(re_n+K))dr\leq\fra…

Limit theorems for the distance of random points in lpn​-balls

A discrete approach to Zhang's projection inequality

Limit theorems for the distance of random points in $l_{p}^{n}$ -balls