4 citations · 12 across the 9 of their papers we have counts for
9 papers
Measure-preserving mappings from the unit cube to some symmetric spaces
Carlos Beltrán, Damir Ferizović, Pedro R. López-Gómez
We construct measure-preserving mappings from the -dimensional unit cube to the -dimensional unit ball and the compact rank one symmetric spaces, namely the -dimensional s…
Lower bound for the Green energy of point configurations in harmonic manifolds
Carlos Beltrán, Víctor de la Torre, Fátima Lizarte
In this paper, we get the sharpest known to date lower bounds for the minimal Green energy of the compact harmonic manifolds of any dimension.
Statistical characterization of the chordal product determinant of Grassmannian codes
Javier Álvarez-Vizoso, Carlos Beltrán, Diego Cuevas +3
We consider the chordal product determinant, a measure of the distance between two subspaces of the same dimension. In information theory, collections of elements in the complex Gr…
Constellations on the Sphere with Efficient Encoding-Decoding for Noncoherent Communications
Javier Álvarez-Vizoso, Carlos Beltrán, Ignacio Santamaria +2
In this paper, we propose a new structured Grassmannian constellation for noncoherent communications over single-input multiple-output (SIMO) Rayleigh block-fading channels. The co…
Constrained Riemannian Noncoherent Constellations for the MIMO Multiple Access Channel
Javier Álvarez-Vizoso, Diego Cuevas, Carlos Beltrán +3
We consider the design of multiuser constellations for a multiple access channel (MAC) with K users, with M antennas each, that transmit simultaneously to a receiver equipped with…
A discretization of Holst's action for general relativity
Carlos E. Beltrán, José A. Zapata
We present a simplicial model for gravity written in terms of a discretized Lorentz connection and a discretized tetrad field. The continuum limit of its action is Holst's action f…
Low energy points on the sphere and the real projective plane
Carlos Beltrán, Ujué Etayo, Pedro R. López-Gómez
We present a generalization of a family of points on , the Diamond ensemble, containing collections of points on with very small logarithmic energy…
A lower bound for the logarithmic energy on and for the Green energy on
Carlos Beltrán, Fátima Lizarte
We show an alternative proof of the sharpest known lower bound for the logarithmic energy on the unit sphere . We then generalize this proof to get new lower bounds f…
When can forward stable algorithms be composed stably?
Carlos Beltrán, Vanni Noferini, Nick Vannieuwenhoven
We state some widely satisfied hypotheses, depending only on two functions and , under which the composition of a stable algorithm for and a stable algorithm for is…