D. Alonso-Gutiérrez

collaborators

2 papers

math.FA2007

On an extension of the Blaschke-Santalo inequality

David Alonso-Gutierrez

Let $K$ be a convex body and $K^{\circ}$ its polar body. Call $ϕ (K) = \frac{1}{∣ K ∣∣ K ^{\circ} ∣} \int_{K} \int_{K^{\circ}} < x, y >^{2} d x d y$ . It is conjectured that $ϕ (K)$ is maximum when $K$ is the…

math.MG2007

About the isotropy constant of random convex sets

David Alonso-Gutierrez

Let K be the symmetric convex hull of m independent random vectors uniformly distributed on the unit sphere of R^n. We prove that, for every $δ > 0$ , the isotropy constant of K is bo…