Javier Martín Goñi

collaborators

2 papers

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.MG2022

Brunn-Minkowski inequality for $θ$ -convolution bodies via Ball's bodies

David Alonso-Gutiérrez, Javier Martín Goñi

We consider the problem of finding the best function $φ_{n} : [0, 1] \to R$ such that for any pair of convex bodies $K, L \in R^{n}$ the following Brunn-Minkowski type inequa…

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

Brunn-Minkowski inequality for θ-convolution bodies via Ball's bodies

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

Brunn-Minkowski inequality for $θ$ -convolution bodies via Ball's bodies