David Alonso-Guti'errez

activity

20092026

most citedFurther inequalities for the (generalized) Wills functional

6 citations · 9 across the 14 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.FA2016

The variance conjecture on hyperplane projections of l_p^n balls

David Alonso-Gutiérrez, Jesús Bastero

We show that for any $1 \leq p \leq \infty$ , the family of random vectors uniformly distributed on hyperplane projections of the unit ball of $ℓ_{p}^{n}$ verify the variance conjecture…

math.PR2016★ 1 cited

Large deviations for high-dimensional random projections of $ℓ_{p}^{n}$ -balls

David Alonso-Gutiérrez, Joscha Prochno, Christoph Thaele

The paper provides a description of the large deviation behavior for the Euclidean norm of projections of $ℓ_{p}^{n}$ -balls to high-dimensional random subspaces. More precisely, for…

math.MG2016

On the geometry of random convex sets between polytopes and zonotopes

David Alonso-Gutiérrez, Joscha Prochno

In this work we study a class of random convex sets that "interpolate" between polytopes and zonotopes. These sets arise from considering a $q^{t h}$ -moment ( $q \geq 1$ ) of an averag…

The variance conjecture on hyperplane projections of l_p^n balls

Large deviations for high-dimensional random projections of ℓpn​-balls

On the geometry of random convex sets between polytopes and zonotopes

Large deviations for high-dimensional random projections of $ℓ_{p}^{n}$ -balls