5 citations · 5 across the 14 of their papers we have counts for
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Large signed sums of unit vectors: the first linearly dependent case
Damián Pinasco
We address a problem on large signed sums of unit vectors that arose in work of Brugger, Fiedler, González Merino and Kirschbaum and was later formulated in its present form by Amb…
An Improved Volume Ratio Bound via Isotropic Positions
Daniel Galicer, Mariano Merzbacher, Damián Pinasco
We show that, for every pair of convex bodies , The main point is to place and in isotropi…
On the volume ratio of projections of convex bodies
Daniel Galicer, Alexander E. Litvak, Mariano Merzbacher +1
We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body we show that there is another convex body such that the volume rati…
Asymptotic estimates for the largest volume ratio of a convex body
Daniel Galicer, Mariano Merzbacher, Damián Pinasco
The largest volume ratio of given convex body is defined as $$\mbox{lvr}(K):= \sup_{L \subset \mathbb{R}^n} \mbox{vr}(K,L),$$ where the runs over al…
The minimal volume of simplices containing a convex body
Daniel Galicer, Mariano Merzbacher, Damián Pinasco
Let be a convex body with barycenter at the origin. We show there is a simplex having also barycenter at the origin such that $\left(\frac{vol…
Energy integrals and metric embedding theory
Daniel Carando, Daniel Galicer, Damián Pinasco
For some centrally symmetric convex bodies , we study the energy integral where the supremum runs…