Generalized probabilities in statistical theories

In this review article we present different formal frameworks for the description of generalized probabilities in statistical theories. We discuss the particular cases of probabilities appearing in classical and quantum mechanics, possible generalizations of the approaches of A. N. Kolmogorov and R. T. Cox to non-commutative models, and the approach to generalized probabilities based on convex sets

Coupled electric and magnetic dipole formulation for planar arrays of dipolar particles: metasurfaces with various electric and/or magnetic meta-atoms per unit cell

The optical properties of infinite planar array of scattering particles, metasurfaces and metagratings, are attracting special attention lately for their rich phenomenology, including both plasmonic and high-refractive-index dielectric meta-atoms with a variety of electric and magnetic resonant responses. Herein we derive a coupled electric and magnetic dipole (CEMD) analytical formulation to describe the reflection and transmission of such periodic arrays, including specular and diffractive orders, valid in the spectral regimes where only dipolar multipoles are needed. Electric and/or magnetic dipoles with all three orientations arising in turn from a single or various meta-atoms per unit cell are considered. The 2D lattice Green function is rewritten in terms of a 1D (chain) version that fully converges and can be easily calculated. Modes emerging as poles of such lattice Green function can be extracted. This formulation can be applied to investigate a wealth of plasmonic, all-dielectric, and hybrid metasurfaces/metagratings of interest throughout the electromagnetic spectrum.Comment: 8 pages, 4 figure

Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids

To each linear code over a finite field we associate the matroid of its parity check matrix. We show to what extent one can determine the generalized Hamming weights of the code (or defined for a matroid in general) from various sets of Betti numbers of Stanley-Reisner rings of simplicial complexes associated to the matroid

The Disproportionate Impact of COVID-19 on Older Latino Mortality: The Rapidly Diminishing Latino Paradox

Objectives: This brief report aims to highlight stark mortality disparities among older Latinos that result from the novel coronavirus disease (COVID-19) pandemic. Methods: We use recent data from the Centers for Disease Control and Prevention to compute age-specific death rates (ASDRs) for three causes of death: deaths from COVID-19, residual deaths, and total deaths for four age-groups (55-64, 65-74, 75-84, and 85 and older) to assess the impact of COVID-19 on older Latino mortality relative to non-Latino Whites and non-Latino Blacks and also in comparison to residual deaths. Additionally, we obtain ASDRs for all causes of deaths from 1999 to 2018 to provide a pre-pandemic context and assess the extent to which the consistently observed mortality advantage of Latinos persists during the pandemic. Results: Consistent with previous research, our findings show that Latinos have lower ASDRs for non-COVID-19 causes of death across all age groups compared to non-Latino Whites. However, our findings indicate that Latinos have significantly higher ASDRs for COVID-19 deaths than non-Latino Whites. Furthermore, although the Latino advantage for total deaths persists during the pandemic, it has diminished significantly compared to the 1999-2018 period. Discussion: Our findings indicate that as a result of the pandemic, the time-tested Latino paradox has rapidly diminished due to higher COVID-19 mortality among older Latino adults compared to non-Latino Whites. Future research should continue to monitor the impact of COVID-19 to assess the disparate impact of the pandemic on older Black, Latino and non-Latino White adults as additional data become available

Presentación de un levantamiento geomorfológico como documento básico para trazar mapas de peligrosidad natural

[Resumen] El siguiente trabajo describe una leyenda geomorfologica aplicativa donde van a señalarse los procesos naturales. Cada uno de ellos tiene una manifestación temporal y espacial. Por ello va a darse mucha relevancia a las recurrencias específicas de cada proceso y, a la vez, una representación cartográfica de los fenómenos descritos. Las inestabilidades de ladera tendrán un seguimiento particular. A partir de un trabajo de síntesis, pueden superponerse todos los caracteres sobre el mapa geomorfologico con la finalidad de trazar mapas de peligrosidad natural..[Abstract] The next work shows an applied legend on geomorphology where is possible to carry out natural processes in order to study spatial and temporal features. At both processes is being affected to specific recurrence, spatial behaviour and thereby is subjected to mapping. After that, the local smalllandslides was based on a specific study. Along a synthesis approach it is possible to cover up the first geomorphological survey for depicting natural hazard maps

Perspectivas pedagógicas en geomorfología.

[Resumen] Los nuevos planes que se están poniendo en práctica en educación primaria y secundaria como consecuencia de la aplicación de la LOGSE, así como la reorganización de los estudios universitarios, contemplan algunos aspectos de geomorfología aplicada en varias asignaturas. El presente trabajo va a tratar cuestiones concernientes al área de conocimiento de Ciencias de la Tierra y del Espacio, concretamente se aborda la problemática que suponen las inundaciones. Para hacerlo accesible a los estudiantes se proponen juegos de simulación territorial que forman parte de un proyecto curricular que con carácter experimental venimos desarrollando en centros de enseñanza de La Rioja.[Abstract] At the present, the national education authorities of Spain are involved in the arrangements of the Education Act named LOGSE for aH knowledge levels as primary, secondary and thereby university departments outside of LOGSE are implementing some subjects on applied geomorphology. So as, at the next work a little features into the province of Earth and Environment Sciences and particulary flood problems also are treated. AH of material is available for accessing the environmental issues to students using territory role - play games. At last, the results are covered from an educational project developed in secondary schools of La Rioja region

Spatial wave intensity correlations in quasi-one-dimensional wires

Spatial intensity correlations between waves transmitted through random media are analyzed within the framework of the random matrix theory of transport. Assuming that the statistical distribution of transfer matrices is isotropic, we found that the spatial correlation function can be expressed as the sum of three terms, with distinctive spatial dependences. This result coincides with the one obtained in the diffusive regime from perturbative calculations, but holds all the way from quasi-ballistic transport to localization. While correlations are positive in the diffusive regime, we predict a transition to negative correlations as the length of the system decreases.Comment: 10 pages, 3 figures. Submitted to Physical Review Letter