Growth of positive words and lower bounds of the growth rate for Thompson's group (F)p

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Interactions between product and labour market reforms

Labour market reforms face very often opposition from the employed workers, because it normally reduces their wages. Also product market regulations are regularly biased towards too much benefitting the firms. As a result there remain many frictions in both the labour and product markets that hinder an optimal functioning of the economy. These issues have recently received a lot of attention in the economics literature and scholars have been looking for politically viable reforms in both markets. However, despite its potential importance, there has been done virtually no research on the interaction between reforms in product and labour markets. We find that when combining reforms, the opposition for reforms decreases considerably. This is because there exist complementarities and the gains in total welfare can be more evenly distributed over the interest groups. Moreover, the interaction of reforms offers a way out for the so-called 'sclerosis' effect.

MB-MDR: Model-Based Multifactor Dimensionality Reduction for detecting interactions in high-dimensional genomic data

L’anàlisi de l’efecte dels gens i els factors ambientals en el desenvolupament de malalties complexes és un gran repte estadístic i computacional. Entre les diverses metodologies de mineria de dades que s’han proposat per a l’anàlisi d’interaccions una de les més populars és el mètode Multifactor Dimensionality Reduction, MDR, (Ritchie i al. 2001). L’estratègia d’aquest mètode és reduir la dimensió multifactorial a u mitjançant l’agrupació dels diferents genotips en dos grups de risc: alt i baix. Tot i la seva utilitat demostrada, el mètode MDR té alguns inconvenients entre els quals l’agrupació excessiva de genotips pot fer que algunes interaccions importants no siguin detectades i que no permet ajustar per efectes principals ni per variables confusores. En aquest article il•lustrem les limitacions de l’estratègia MDR i d’altres aproximacions no paramètriques i demostrem la conveniència d’utilitzar metodologies parametriques per analitzar interaccions en estudis cas-control on es requereix l’ajust per variables confusores i per efectes principals. Proposem una nova metodologia, una versió paramètrica del mètode MDR, que anomenem Model-Based Multifactor Dimensionality Reduction (MB-MDR). La metodologia proposada té com a objectiu la identificació de genotips específics que estiguin associats a la malaltia i permet ajustar per efectes marginals i variables confusores. La nova metodologia s’il•lustra amb dades de l’Estudi Espanyol de Cancer de Bufeta.

Elements of algebraic geometry and the positive theory of partially commutative groups

The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group H. Analogously to the case of free groups, we introduce the notion of a generalised equation and prove that the positive theory of H has quantifier elimination and that arbitrary first-order formulas lift from H to H * F, where F is a free group of finite rank. As a consequence, the positive theory of an arbitrary partially commutative group is decidable.

Positive solutions of nonlinear problems involving the square root of the Laplacian

We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, we establish existence and regularity results, as well as a priori estimates of Gidas-Spruck type. In addition, among other results, we prove a symmetry theorem of Gidas-Ni-Nirenberg type.

An Introduction to parametric and non-parametric models for bivariate positive insurance claim severity distributions

We present a real data set of claims amounts where costs related to damage are recorded separately from those related to medical expenses. Only claims with positive costs are considered here. Two approaches to density estimation are presented: a classical parametric and a semi-parametric method, based on transformation kernel density estimation. We explore the data set with standard univariate methods. We also propose ways to select the bandwidth and transformation parameters in the univariate case based on Bayesian methods. We indicate how to compare the results of alternative methods both looking at the shape of the overall density domain and exploring the density estimates in the right tail.

Two weight inequalities for discrete positive operators

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A new automated method versus continuous positive airway pressure method for measuring pressure-volume curves in patients with acute lung injury

Objective: To compare pressure–volume (P–V) curves obtained with the Galileo ventilator with those obtained with the CPAP method in patients with ALI or ARDS receiving mechanical ventilation. P–V curves were fitted to a sigmoidal equation with a mean R2 of 0.994 ± 0.003. Lower (LIP) and upper inflection (UIP), and deflation maximum curvature (PMC) points calculated from the fitted variables showed a good correlation between methods with high intraclass correlation coefficients. Bias and limits of agreement for LIP, UIP and PMC obtained with the two methods in the same patient were clinically acceptable.

Interactions between grain size and composition of sediments: two examples

Two contrasting case studies of sediment and detrital mineral composition are investigated in order to outline interactions between chemical composition and grain size. Modern glacial sediments exhibit a strong dependence of the two parameters due to the preferential enrichment of mafic minerals, especially biotite, in the fine-grained fractions. On the other hand, the composition of detrital heavy minerals (here: rutile) appears to be not systematically related to grain-size, but is strongly controlled by location, i.e. the petrology of the source rocks of detrital grains. This supports the use of rutile as a well-suited tracer mineral for provenance studies. The results further suggest that (i) interpretations derived from whole-rock sediment geochemistry should be flanked by grain-size observations, and (ii) a more sound statistical evaluation of these interactions require the development of new tailor-made statistical tools to deal with such so-called two-way compositions

Interaccions arbre-arbust al límit superior del bosc i efectes de gradients bioclimàtics en la vegetació

Durant el periode d’elaboració d’aquesta tesi hem aprofundit en el coneixement dels factors que controlen les dinàmiques espacio-temporals del límit superior del bosc. Aquest ecotò se situa entre el límit superior del bosc i els prats alpins i és susceptible a canvis ambientals, fet que provoca que fluctuï altitudinalment i latitudinalment en funció d’aquests canvis. Els motius d’aquesta dinàmica s’ha estudiat sovint des d’un punt de vista climàtic, però mai fins ara s’havia estudiat des d’un punt de vista de les interaccions entre organismes. Per aquest fet hem estat evaluant l’efecte de les interaccions planta-planta en la regulació de la dinàmica supraforestal. L’estudi l’hem emmarcat en un context alpí (als Pirineus Catalans) i en un context subàrtic (Lapònia, Suècia), fet que ens ha permès fer un estudi comparatiu en dos ecotons contrastats però homòlegs ecològicament. Hem desenvolupat una sèrie d’experiments considerant diversos factors (augment de temperatura, quantitat de nutrients, presència d’arbust, posició en l’ecotò); en les dues zones d’estudi hem fet una plantació de plançons dels arbres formadors del límit del bosc en les diverses situacions derivades de la combinació d’aquests factors, i hem fet el seguiment fenològic dels plançons durant tres periodes de creixement. Els resultats dels experiments ens han permès veure que les interaccions entre organismes tenen una gran importància en la regulació de la dinàmica supraforestal, tant als Pirineus com a Lapònia. Les interaccions planta-planta i planta-herbívors determinen el reclutament de plançons i per tant l’estructuració de les comunitats supraforestals. Per altra banda, la posició en l’ecotò evidencia la presència d’un gradient bioclimàtic; les manipulacions ambientals de temperatura i nutrients originen una resposta generalment positiva en el desenvolupament dels plançons, indicant que canvis en aquestes variables pot suposar alteracions notables de l’estructura forestal del límit del bosc. Per altra banda en aquest projecte també hem aprofundit en temes relacionats amb l'efecte dels gradients altitudinals en la distribució de plantes vasculars als Pirineus Catalans.

Interaccions arbre-arbust al límit superior del bosc i efectes de gradients bioclimàtics en la vegetació

Durant el periode d’elaboració d’aquesta tesi hem aprofundit en el coneixement dels factors que controlen les dinàmiques espacio-temporals del límit superior del bosc. Aquest ecotò se situa entre el límit superior del bosc i els prats alpins i és susceptible a canvis ambientals, fet que provoca que fluctuï altitudinalment i latitudinalment en funció d’aquests canvis. Els motius d’aquesta dinàmica s’ha estudiat sovint des d’un punt de vista climàtic, però mai fins ara s’havia estudiat des d’un punt de vista de les interaccions entre organismes. Per aquest fet hem estat evaluant l’efecte de les interaccions planta-planta en la regulació de la dinàmica supraforestal. L’estudi l’hem emmarcat en un context alpí (als Pirineus Catalans) i en un context subàrtic (Lapònia, Suècia), fet que ens ha permès fer un estudi comparatiu en dos ecotons contrastats però homòlegs ecològicament. Hem desenvolupat una sèrie d’experiments considerant diversos factors (augment de temperatura, quantitat de nutrients, presència d’arbust, posició en l’ecotò); en les dues zones d’estudi hem fet una plantació de plançons dels arbres formadors del límit del bosc en les diverses situacions derivades de la combinació d’aquests factors, i hem fet el seguiment fenològic dels plançons durant tres periodes de creixement. Els resultats dels experiments ens han permès veure que les interaccions entre organismes tenen una gran importància en la regulació de la dinàmica supraforestal, tant als Pirineus com a Lapònia. Les interaccions planta-planta i planta-herbívors determinen el reclutament de plançons i per tant l’estructuració de les comunitats supraforestals. Per altra banda, la posició en l’ecotò evidencia la presència d’un gradient bioclimàtic; les manipulacions ambientals de temperatura i nutrients originen una resposta generalment positiva en el desenvolupament dels plançons, indicant que canvis en aquestes variables pot suposar alteracions notables de l’estructura forestal del límit del bosc. Per altra banda en aquest projecte també hem aprofundit en temes relacionats amb l'efecte dels gradients altitudinals en la distribució de plantes vasculars als Pirineus Catalans.

Social Determinants of Child Health in Colombia: Can Community Education Moderate the Effect of Family Characteristics?

Contextual effects on child health have been investigated extensively in previous research. However, few studies have considered the interplay between community characteristics and individual-level variables. This study examines the influence of community education and family socioeconomic characteristics on child health (as measured by height and weight-for-age Z-scores), as well as their interactions. We adapted the Commission on Social Determinants of Health (CSDH) framework to the context of child health. Using data from the 2010 Colombian Demographic and Health Survey (DHS), weighted multilevel models are fitted since the data are not self-weighting. The results show a positive impact of the level of education of other women in the community on child health, even after controlling for individual and family socioeconomic characteristics. Different pathways through which community education can substitute for the effect of family characteristics on child nutrition are found. The interaction terms highlight the importance of community education as a moderator of the impact of the mother’s own education and autonomy, on child health. In addition, the results reveal differences between height and weight-for-age indicators in their responsiveness to individual and contextual factors. Our findings suggest that community intervention programmes may have differential effects on child health. Therefore, their identification can contribute to a better targeting of child care policies.

The relevance of the Laplacian of intracule and extracule density distributions for analyzing electron-electron interactions in molecules

A topological analysis of intracule and extracule densities and their Laplacians computed within the Hartree-Fock approximation is presented. The analysis of the density distributions reveals that among all possible electron-electron interactions in atoms and between atoms in molecules only very few are located rigorously as local maxima. In contrast, they are clearly identified as local minima in the topology of Laplacian maps. The conceptually different interpretation of intracule and extracule maps is also discussed in detail. An application example to the C2H2, C2H4, and C2H6 series of molecules is presented

Human-Computer Interaction with older people through ethnographical lenses: everyday interactions with ICT

Report for the scientific sojourn carried out at the School of Computing of the University of Dundee, United Kingdom, from 2010 to 2012. This document is a scientific report of the work done, main results, publications and accomplishment of the objectives of the 2-year post-doctoral research project with reference number BP-A 00239. The project has addressed the topic of older people (60+) and Information and Communication Technologies (ICT), which is a topic of growing social and research interest, from a Human-Computer Interaction perspective. Over a 2-year period (June 2010-June 2012), we have conducted classical ethnography of ICT use in a computer clubhouse in Scotland, addressing interaction barriers and strategies, social sharing practices in Social Network Sites, and ICT learning, and carried out rapid ethnographical studies related to geo-enabled ICT and e-government services towards supporting independent living and active ageing. The main results have provided a much deeper understanding of (i) the everyday use of Computer-Mediated Communication tools, such as video-chats and blogs, and its evolution as older people’s experience with ICT increases over time, (ii) cross-cultural aspects of ICT use in the north and south of Europe, (iii) the relevance of cognition over vision in interacting with geographical information and a wide range of ICT tools, despite common stereotypes (e.g. make things bigger), (iv) the important relationship offline-online to provide older people with socially inclusive and meaningful eservices for independent living and active ageing, (v) how older people carry out social sharing practices in the popular YouTube, (vi) their user experiences and (vii) the challenges they face in ICT learning and the strategies they use to become successful ICT learners over time. The research conducted in this project has been published in 17 papers, 4 in journals – two of which in JCR, 5 in conferences, 4 in workshops and 4 in magazines. Other public output consists of 10 invited talks and seminars.

Avoiding transcription factor competition at promoter level increases the chances of obtaining oscillations

Background: The ultimate goal of synthetic biology is the conception and construction of genetic circuits that are reliable with respect to their designed function (e.g. oscillators, switches). This task remains still to be attained due to the inherent synergy of the biological building blocks and to an insufficient feedback between experiments and mathematical models. Nevertheless, the progress in these directions has been substantial. Results: It has been emphasized in the literature that the architecture of a genetic oscillator must include positive (activating) and negative (inhibiting) genetic interactions in order to yield robust oscillations. Our results point out that the oscillatory capacity is not only affected by the interaction polarity but by how it is implemented at promoter level. For a chosen oscillator architecture, we show by means of numerical simulations that the existence or lack of competition between activator and inhibitor at promoter level affects the probability of producing oscillations and also leaves characteristic fingerprints on the associated period/amplitude features. Conclusions: In comparison with non-competitive binding at promoters, competition drastically reduces the region of the parameters space characterized by oscillatory solutions. Moreover, while competition leads to pulse-like oscillations with long-tail distribution in period and amplitude for various parameters or noisy conditions, the non-competitive scenario shows a characteristic frequency and confined amplitude values. Our study also situates the competition mechanism in the context of existing genetic oscillators, with emphasis on the Atkinson oscillator.