4 citations · 8 across the 11 of their papers we have counts for
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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…
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,…
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 , the isotropy constant of K is bo…