INVESTIGADORES
HOLIK Federico Hernan
artículos
Título:
Extremal elements of a sublattice of the majorization lattice and approximate majorization
Autor/es:
MASSRI, CÉSAR; BELLOMO, GUIDO; HOLIK, FEDERICO; BOSYK, GUSTAVO MARTIN
Revista:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2020
ISSN:
1751-8113
Resumen:
Given a probability vector $x$ with its components sorted in non-increasing order, we consider the closed ball $B^p_epsilon(x)$ with $p geq 1$ formed by the probability vectors whose $ell^p$-norm distance to the center $x$ is less than or equal to a radius $epsilon$. Here, we provide an order-theoretic characterization of these balls by using the majorization partial order. Unlike the case $p=1$ previously discussed in the literature, we find that the extremal probability vectors, in general, do not exist for the closed balls $B^p_epsilon(x)$ with $1