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Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
(IEEE, 2020-01-17)
The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors ...
A Unifying Framework for Perturbative Exponential Factorizations
(MDPI, 2021-03-17)
We propose a framework where Fer and Wilcox expansions for the solution of differential
equations are derived from two particular choices for the initial transformation that seeds the product
expansion. In this scheme, ...
The weak compactification of locally compact groups
(Elsevier, 2021)
We further investigate the weak topology generated by the irreducible unitary representations of a group G. A deep result due to Ernest [13] and Hughes [22] asserts that every weakly compact subset of a locally compact ...
On Multi-Index Filtrations Associated to Weierstraß Semigroups
(Springer, Cham, 2020-05-14)
This paper is a survey on the main techniques involved in the computation of the Weierstraß semigroup at several points of curves defined over perfect fields, with special emphasis on the case of two points. Some hints ...
Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes
(American Institute of Mathematical Sciences, 2020)
In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences ‘p(Z) by using Bl¨unck’s theorem on the
equivalence between operator-valued ‘p-multipliers ...
Foliations with isolated singularities on Hirzebruch surfaces
(De Gruyter, 2021)
We study foliations ℱ on Hirzebruch surfaces Sδ and prove that, similarly to those on the projective plane, any ℱ can be represented by a bi-homogeneous polynomial affine 1-form. In case ℱ has isolated singularities, we ...
Numerical integrators based on the Magnus expansion for nonlinear dynamical systems
(Elsevier, 2020-03-15)
Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonlinear non-autonomous ordinary differential equations are presented and tested on problems possessing qualitative (very often, ...
A Modified SIRD Model to Study the Evolution of the COVID-19 Pandemic in Spain
(Multidisciplinary Digital Publishing Institute, 2021-04-19)
In this paper, we use an SIRD model to analyze the evolution of the COVID-19 pandemic in
Spain, caused by a new virus called SARS-CoV-2 from the coronavirus family. This model is governed
by a nonlinear system of ...
Invertibles in topological rings: a new approach
(Springer, 2021-11-15)
Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we
define a new class of semi-normed ...
The Bishop-Phelps-Bollobás properties in complex Hilbert space
(Wiley, 2021-12-02)
In this paper, we consider theBishop–Phelps–Bollobás point propertyfor variousclasses of operators on complex Hilbert spaces, which is a stronger property thanthe Bishop–Phelps–Bollobás property. We also deal with analogous ...