O. Ortega-Moreno

activity

20192026

most citedMixed Christoffel-Minkowski problems for bodies of revolution

1 citations · 1 across the 9 of their papers we have counts for

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math.FA2026

Polarization problems and Coxeter systems

Ángel D. Martínez, Oscar Ortega-Moreno

In this paper we provide a proof of the strong polarization conjecture due to Ball and Frenkel. We observe that Coxeter systems produce unexpected new examples of extremizers. Furt…

math.FA2026

Strong Polarization and Entropy

Daniel Galicer, Oscar Ortega-Moreno, Damián 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…

math.FA2021

The complex plank problem, revisited

Oscar Ortega-Moreno

Ball's complex plank theorem states that if $v_{1}, \dots, v_{n}$ are unit vectors in $C^{d}$ , and $t_{1}, \dots, t_{n}$ , non-negative numbers satisfying $\sum_{k = 1}^{n} t_{k}^{2} = 1,$ then t…

math.FA2019

An Optimal Plank Theorem

Oscar Ortega-Moreno

We give a new proof of Fejes Tóth's zone conjecture: for any sequence $v_{1}, v_{2}, ..., v_{n}$ of unit vectors in a real Hilbert space $H$ , there exists a unit vector $v$ in $\m…