D. Alonso-Gutiérrez

collaborators

2 papers

math.PR2025

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

David Alonso-GutiÃ©rrez, Javier MartÃn GoÃ±i, 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

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