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A note on the Baker–Campbell–Hausdorff series in terms of right-nested commutators
(Springer, 2021-01-27)
We get compact expressions for the Baker–Campbell–Hausdorff
series Z = log(eX eY ) in terms of right-nested commutators. The reduction in the number of terms originates from two facts: (i) we use as a
starting point an ...
Multiple photon effective Hamiltonians in linear quantum optical networks
(Elsevier, 2019)
We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution
of the quantum state of any number of photons entering a linear optics multiport. The description is based ...
Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation
(MDPI, 2019)
A new way to compute the Taylor polynomial of a matrix exponential is presented
which reduces the number of matrix multiplications in comparison with the de-facto standard
Paterson-Stockmeyer method for polynomial ...
Could Plant Hormones Provide a Reliable Tool for Early Detection of Rhynchophorus ferrugineus (Coleóptera: Curculionidae) Infested Palms?
(Entomological Research Society, 2019-03)
Rhynchophorus ferrugineus (Olivier) (Coleoptera: Curculionidae) is one of the most important pest of palms worldwide. A serious management problem is the difficulty of detecting early infestation stages, which is critical ...
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, ...
Singular perturbations of Blaschke products and connectivity of Fatou components
(American Institute of Mathematical Sciences (AIMS), 2017)
The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| ...
Lower bounds for the volume with upper bounds for the Ricci Curvature in dimension three
(WileyLondon Mathematical Society, 2020)
In this note, we provide several lower bounds for the volume of a geodesic ball within the injectivity radius in a 3‐dimensional Riemannian manifold assuming only upper bounds for the Ricci curvature.
Global and Local Three-dimensional Studies of The Residual Vector Field from 2MASS and Hipparcos-2 Catalog
(Astronomical Society of the PacificIOP, 2019-04)
The Gaia mission will provide a six-parameter solution for millions of stars, including a tridimensional map of our Galaxy. The estimation of distances has been made for the Tycho-Gaia Astrometric Solution (TGAS), while ...
Tutorización virtual sobre matemáticas
(UNED, 2018)
Los profesores de matemáticas, frecuentemente, encuentran problemas en la
representación de símbolos para comunicarse de manera virtual con sus estudiantes.
En este sentido y con el objetivo de facilitar la comunicación ...
Dynamics of subfamilies of Ostrowski–Chun methods
(Elsevier, 2020-09-25)
In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic polynomials. We obtain the values of the parameters that reduce the number ...