Damián Pinasco

collaborators

2 papers

math.MG2026

An Improved Volume Ratio Bound via Isotropic Positions

Daniel Galicer, Mariano Merzbacher, DamiÃ¡n Pinasco +1

We show that, for every pair of convex bodies $K, L \subset R^{n}$ , $vr (K, L) \leq C n lo g (n + 1) .$ The main point is to place $K$ and $L^{\circ}$ in isotropi…

math.FA2026

Strong Polarization and Entropy

Daniel Galicer, Oscar Ortega-Moreno, DamiÃ¡n Pinasco

We show that for any set of $n$ unit vectors $v_{1}, \dots, v_{n}$ in a real Hilbert space and positive numbers $p_{1}, \dots, p_{n}$ satisfying $\sum_{j} p_{j} = 1$ , there exists a unit vector…