Alfredo Hubard

collaborators

2 papers

math.MG2023

Weak $(1 - ε)$ -nets for polynomial superlevel sets

Pablo González-Mazón, Alfredo Hubard, Roman Karasev

We prove that for any Borel probability measure $μ$ on $R^{n}$ there exists a set $X \subset R^{n}$ of $n + 1$ points such that any $n$ -variate quadratic polynomial $P$ th…

math.CO2014

Discrete Systolic Inequalities and Decompositions of Triangulated Surfaces

Éric Colin de Verdière, Alfredo Hubard, Arnaud de Mesmay

How much cutting is needed to simplify the topology of a surface? We provide bounds for several instances of this question, for the minimum length of topologically non-trivial clos…

Weak (1−ε)-nets for polynomial superlevel sets

Discrete Systolic Inequalities and Decompositions of Triangulated Surfaces

Weak $(1 - ε)$ -nets for polynomial superlevel sets