An antimaximum principle for periodic solutions of a forced oscillator

Consider the equation of the linear oscillator u '' + u = h(theta), where the forcing term h : R -> R is 2 pi-periodic and positive. We show that the existence of a periodic solution implies the existence of a positive solution. To this aim we establish connections between this problem and some separation questions of convex analysis.Paris Observatory gran

Anomalous magnetic and weak magnetic dipole moments of the τ\tau lepton in the simplest little Higgs model

We obtain analytical expressions, both in terms of parametric integrals and Passarino-Veltman scalar functions, for the one-loop contributions to the anomalous weak magnetic dipole moment (AWMDM) of a charged lepton in the framework of the simplest little Higgs model (SLHM). Our results are general and can be useful to compute the weak properties of a charged lepton in other extensions of the standard model (SM). As a by-product we obtain generic contributions to the anomalous magnetic dipole moment (AMDM), which agree with previous results. We then study numerically the potential contributions from this model to the $\tau$ lepton AMDM and AWMDM for values of the parameter space consistent with current experimental data. It is found that they depend mainly on the energy scale $f$ at which the global symmetry is broken and the $t_\beta$ parameter, whereas there is little sensitivity to a mild change in the values of other parameters of the model. While the $\tau$ AMDM is of the order of $10^{-9}$, the real (imaginary) part of its AWMDM is of the order of $10^{-9}$ ($10^{-10}$). These values seem to be out of the reach of the expected experimental sensitivity of future experiments.Comment: 23 pages, 11 figures, new analysis and References adde

The Sustainable Approach to Corporate Social Responsibility: A Global Analysis and Future Trends

Due to the process of globalization, companies are obligated to observe corporate social responsibility and best practices from a sustainability approach towards their stakeholders and society. The explicit aim is to determine the relevance of the corporate social responsibility (CSR) and its relationship with sustainability, in order to establish trends and future lines of research. The evolution of global research on this subject has been studied from 2001 to 2018. For this purpose, a bibliometric analysis of 1832 articles has been applied, obtaining results of the scientific productivity of the journals, authors, institutions, and countries that contribute to this research. Evidence shows a growing interest in studying the relationship between socially responsible practices and the dimension of sustainability. The main category is Business, Management, and Accounting. The most productive journals are the Journal of Business Ethics and Sustainability. The authors with the most articles are García-Sánchez, Moneva, and Moratis, while Kolk is the most cited. The most prolific institution is the University of Salamanca. The United States is the country with the most publications and quotes. France and China are the countries with the largest number of international collaborations in their work. Global research has been on an upward trend with optimal publication rates in recent years