4 citations · 8 across the 11 of their papers we have counts for
16 papers
Limit theorems for the distance of random points in -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 -balls or on its boundary satisf…
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…
Brunn-Minkowski inequality for -convolution bodies via Ball's bodies
David Alonso-Gutiérrez, Javier Martín Goñi
We consider the problem of finding the best function such that for any pair of convex bodies the following Brunn-Minkowski type inequa…
Gaussian fluctuations for high-dimensional random projections of -balls
David Alonso-Gutierrez, Joscha Prochno, Christoph Thaele
In this paper, we study high-dimensional random projections of -balls. More precisely, for any let be a random subspace of dimension $k_n\in\{1,\ldo…
Rogers-Shephard and local Loomis-Whitney type inequalities
David Alonso-Gutiérrez, Shiri Artstein-Avidan, Bernardo González Merino +2
We provide functional analogues of the classical geometric inequality of Rogers and Shephard on products of volumes of sections and projections. As a consequence we recover (and ob…
A reverse Rogers-Shephard inequality for log-concave functions
David Alonso-Gutiérrez
We will prove a reverse Rogers-Shephard inequality for log-concave functions. In some particular cases, the method used for general log-concave functions can be slightly improved,…