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math.MG2019★ 6 cited
Further inequalities for the (generalized) Wills functional
David Alonso-Gutiérrez, María A. Hernández Cifre, Jesús Yepes Nicolás
The Wills functional of a convex body , defined as the sum of its intrinsic volumes , turns out to have many interesting applications and prope…
math.FA2019
An extension of Berwald's inequality and its relation to Zhang's inequality
David Alonso-Gutiérrez, Julio Bernués, Bernardo González Merino
In this note prove the following Berwald-type inequality, showing that for any integrable log-concave function and any concave function $h:L\ri…
math.MG2019
Asymptotic normality for random simplices and convex bodies in high dimensions
David Alonso-Gutiérrez, Florian Besau, Julian Grote +5
Central limit theorems for the log-volume of a class of random convex bodies in are obtained in the high-dimensional regime, that is, as . In particular,…