Stochastic wave equation with heavy-tailed noise: Uniqueness of solutions and past-light cone property

In [5] was proved the existence of a solution for the stochastic wave equation driven by a L\'evy noise, which may have infinite $p$-th moments. In this work, we show the uniqueness of this solution using a compact support property of the fundamental solution of the wave operator. Furthermore, we extend this result to a general class of wave equations. Secondly, as a consequence of the past-light cone property, we show that $p$-th moments of the solution are bounded up to a certain stopping times that depend on a bounded region in $\mathbb{R}^d$.Comment: 27 page

Consecuencias de la crisis económica sobre los servicios de atención a la pobreza: un análisis desde Cáritas

La crisis económica ha puesto al descubierto la insuficiencia de los servicios públicos de atención a la pobreza y ha desbordado a los servicios privados dedicados a esta labor. Cáritas es una de las principales organizaciones privadas que se dedican en España a la atención de los que se encuentran en situaciones de pobreza y exclusión social. La evolución de su actividad a consecuencia de la crisis muestra la debilidad de un sistema público de servicios sociales que en gran parte canaliza hacia las entidades privadas del “tercer sector” la demanda que están recibiendo de ayuda urgente y básica

Vertical distribution of earthworms in grassland soils of the Colombian Llanos

The vertical distribution of native earthworm species from natural and disturbed savannas in the Oxisols of the Colombian Llanos was assessed in a native savanna and in a 17-year-old grazed grass-legume pasture during a period of 17 months. Different patterns of vertical stratification were observed for all species with a strong migration of populations to deeper layers in the dry season. The correlation between the size of the earthworms and the average depth at which they were found was not significant (P>0.05), despite the fact that bigger species are located deeper in the soil. The living habits and adaptive strategies of the smallest species, Ocnerodrilidae n. sp., found in both ecosystems studied are responsible for this pattern. This endogeic species is associated with organic pools generated by an anecic species and further studies should assess the role of this species in ecosystem functioning. Mature worms of one anecic species were located deeper than immature ones in the soil (P<0.01). Soil moisture had an important effect on the vertical distribution of earthworms, although differences between immature and mature worms of the anecic Martiodrilus carimaguensis are likely to be of biotic origin. New data on the biology and ecology of these Neotropical species are shown.This work was carried out within a research grant of the Macrofauna project (EC - STD2). We want to thank Professor Patrick Lavelle (IRD, France), and Drs. Richard J Thomas and Myles J Fisher (International Center for Tropical Agriculture, CIAT, Colombia) for their encouragement and enthusiasm to study the role of earthworms in the savannas and man-made pastures of Carimagua, in the Colombian “Llanos”. The first author would like to thank Jean Pierre Rossi (IRD, France) and two anonymous referees for helpful comments and their criticism on a first version draft of this paper.Peer reviewe

The direction of restructuring the system of preparing entrepreneurs for the age of information

The development of modern civilization is increasingly based on the use of in-formation resources. However, the related innovativeness of the economy depends on the preparation for such projects. In the discussion, the assumption was made that the shaping of appropriate entrepreneurial attitudes is of key importance in this respect. The group that has a special role to play are those who are studying in the field of economic studies. The article contains a comparison of the situation occurring in this area in Poland and in Spain, showing the direction of potential improvements

Biometric relationships in earthworms (Oligochaeta)

15 páginas, 1 tabla, 2 figurasDigging and hand-sorting of soil blocks is a very widespread method in the study of earthworm communities. One disadvantage of this method is that it is very time consuming and often many earthworms are incomplete because they were cut by the digging tools. When authors report earthworm biomass, no mention is made of the assessment of any relationship between the mass of those cut earthworms and their overall weight. In such cases, biomass is generally underestimated. In this paper, our objective was to propose a new method to estimate the weight of incomplete earthworms on the basis of preclitellar diameter and its usefulness for studying the dynamics of earthworm populations. Complete earthworms were collected from samplings performed in native savannahs and man-made pastures of the eastern plains of Colombia and from a poplar grove (Populus sp.) in Central Spain. A strong correlation between the preserved fresh weight and the maximum preclitellar diameter was found for all the species studied. Three types of models have provided a convenient method to estimate earthworm biomass: (i) linear for almost all the species; (ii) exponential for a large Neotropical anecic species, Martiodrilus carimaguensis (Glossoscolecidae); and (iii) second degree polynomic equation.This study was included within the STD-3 European Macrofauna Project (No. ts3*ct920128) and the Tropical Lowlands Program at the International Center for Tropical Agriculture, CIAT (Cali, Colombia). This study was supported partly by a research grant obtained by the first author within the Macrofauna programme. E. Mamolar received a one-year scholarship from ‘Fundación CajaMadrid’ (Spain). The first author deeply thanks Thibaud Decaëns, from the ‘Université de Rouen’ (France) for his criticism in a first version of the manuscript and two anonymous referees for their helpful comments.Peer reviewe

Health-related quality of life and mortality in the ‘Seguimiento Universidad de Navarra’ prospective cohort study

This project was made possible by funding from the Spanish Government- Instituto de Salud Carlos III , and the European Regional Development Fund (FEDER) (RD 06/0045, CIBER-OBN, Grants PI10/02658 , PI10/02293 , PI13/00615 , PI14/01668 , PI14/01798 , PI14/01764 , PI17/01795 , PI18/00631 , PI20/00564 and G03/140 ), from the Government of Navarra ( 27/2011 , 45/2011 , 122/2014 ), from the National Plan on Drugs ( 2020/021 ) as well as from the University of Navarra .Objective: To study the association between health-related quality of life (HRQoL) and all-cause mortality in a healthy middle-aged Mediterranean cohort. Methods: We included 15,390 participants –mean age 42.8 years at first HRQoL ascertainment, all university graduates–. HRQoL was assessed with the self-administered Medical Outcomes Study Short Form-36 (SF-36) twice, with a 4-year gap. We used multivariable-adjusted Cox regression models to address the relation between self-reported health and Physical or Mental Component Summary (PCS-36 or MCS-36) and mortality, and their interaction with prior comorbidities or adherence to the Mediterranean diet (MedDiet). Results: Over 8.7 years of median follow-up time, 266 deaths were identified. Hazard ratio (HR) for the excellent vs. poor/fair category in self-reported health was 0.30 (95 % confidence interval (CI), 0.16–0.57) in the model with repeated measurements of HRQoL. Both the PCS-36 (HRquartile4(Q4)vs.Q1 0.57 [95%CI, 0.36–0.90], ptrend < 0.001; HRper+10points: 0.64 [95%CI, 0.54–0.75]) and the MCS-36 (HRQ4vs.Q1 0.67 [95%CI, 0.46–0.97], ptrend = 0.025; HRper+10points: 0.86 [95%CI, 0.74–0.99]) were inversely associated with mortality in the model with repeated measurements of HRQoL. Previous comorbidities or adherence to the MedDiet did not modify these associations. Conclusions: Self-reported HRQoL –assessed as self-reported health, PCS-36 and MCS-36– obtained with the Spanish version of the SF-36 were inversely associated with mortality risk, regardless of the presence of previous comorbidities or adherence to the MedDiet.CIBER-OBN G03/140, PI10/02293, PI10/02658, PI13/00615, PI14/01668, PI14/01764, PI14/01798, PI17/01795, PI18/00631, PI20/00564Government-Instituto de Salud Carlos IIIHershey'sHarvard UniversityPlan Nacional sobre Drogas 2020/021 PNSDFederación Española de Enfermedades Raras RD 06/0045 FEDERUniversidad de Navarra 010830European Regional Development Fund ERDFGobierno de Navarra 122/2014, 27/2011, 45/201

Extracting dimer structures from simulations of organic-based materials using QM/MM methods

The functionality of weakly bound organic materials, either in Nanoelectronics or in Materials Science, is known to be strongly affected by their morphology. Theoretical predictions of the underlying structure–property relationships are frequently based on calculations performed on isolated dimers, but the optimized structure of the latter may significantly differ from experimental data even when dispersion-corrected methods are used for it. Here, we address this problem on two organic crystals, namely coronene and 5,6,11,12-tetrachlorotetracene, concluding that it is caused by the absence of the surrounding monomers present in the crystal, and that it can be efficiently cured when the dimer is embedded into a general Quantum Mechanics/Molecular Mechanics (QM/MM) geometry optimization scheme. We also investigate how the size of the MM region affects the results. These findings may be helpful for the simulation of the morphology of active materials in crystalline or glassy samples.This work is supported by the “Ministerio de Economía y Competitividad” of Spain and the “European Regional Development Fund” through project CTQ2014–55073-P

Theoretical study of stability and charge-transport properties of coronene molecule and some of its halogenated derivatives: A path to ambipolar organic-based materials?

We have carefully investigated the structural and electronic properties of coronene and some of its fluorinated and chlorinated derivatives, including full periphery substitution, as well as the preferred orientation of the non-covalent dimer structures subsequently formed. We have paid particular attention to a set of methodological details, to first obtain single-molecule magnitudes as accurately as possible, including next the use of modern dispersion-corrected methods to tackle the corresponding non-covalently bound dimers. Generally speaking, this class of compounds is expected to self-assembly in neighboring π-stacks with dimer stabilization energies ranging from –20 to –30 kcal mol−1 at close distances around 3.0–3.3 Å. Then, in a further step, we have also calculated hole and electron transfer rates of some suitable candidates for ambipolar materials, and corresponding charge mobility values, which are known to critically depend on the supramolecular organization of the samples. For coronene and per-fluorinated coronene, we have found high values for their hopping rates, although slightly smaller for the latter due to an increase (decrease) of the reorganization energies (electronic couplings).This work is supported by the “Ministerio de Educación y Ciencia” of Spain and the “European Regional Development Fund” through Project No. CTQ2011-27253