Embedding Theorems for the Dunkl Harmonic Oscillator on the Line

Embedding results of Sobolev type are proved for the Dunkl harmonic oscillator on the line

Dunkl harmonic oscillator and Witten's perturbation on strata

The main goal of this work is to use Witten's perturbation method to prove a version of Morse inequalities for the minimum and maximum ideal boundary conditions of the de Rham complex on strata, endowed with adapted metrics, where compact Thom-Mather strati cations are considered. For that purpose, we study rst eigenfunction estimates and embedding results for the Dunkl harmonic oscillator on the line, which are generalized to other related operators on R+. The study of these operators is the key ingredient in our local analysis of the Witten's perturbation. Thus this thesis has two main parts. The rst part is devoted to the study of eigenfunction estimates and embedding results for the Dunkl harmonic oscillator and related operators. The second part deals with the Witten's perturbation on strata, where the rst part is used. This work is published in the preprints [1, 2]. Let us introduce those chapters separately and state their main results

Green Infrastructure, Physical Activity and Health. Evidence of Their Relationships in Spain

Currently, more than fifty percent of world population lives in cities; in the most developed regions upwards of 75% are urban residents (in Spain 77%), (UNFPA, 2011). We are in a moment where the urban species has already appeared for the first time. These cities do not often offer a healthy living environment. This fact and the lifestyle habits characterized by sedentary lifestyle, obesity and a poor diet cause health problems, increasing the incidence of non-communicable diseases, as the World Health Organization has revealed. For this reason, the design and planning of cities should be aimed at seeking solutions to these problems and green infrastructure provides an opportunity in this regard (Lafortezza, Davies, Sanesi & Konijnendijk, 2013)

El modelo de Passinetti: prsentación analítica

De formal general, los modelos de crecimiento que incorporan el progreso técnico postulan un crecimiento uniforme y proporcional de la demanda. El rasgo fundamental del análisis de Pasinetti es la relación entre el progreso técnico y la desestructuración del sistema productivo en el largo plazo. En concreto, como los coeficientes de demanda aumentan de forma discontínua, el modelo muestra la tendencia persistente de las economías industriales hacia el paro tecnológico. Este esquema (que corresponde a un sistema económico "natural") es independiente de la organización institucional (economía de mercado o planificada).Passinetti's Model: an Analytical View. All the models of economic growth with technical progress have postulated either uniform and homothetic expansion of demand. The essential feature of Pasinetti's analysis is the link between technical progress and the change of whole production structure over time. In particular, since production coefficients are decreasing over time while demand coefficients increase in a discontinous way the model give rise to the result of a persistent tendency towards technological unemployment. This scheme (the theoretical scheme of a "natural" economic system) is the most relevant to explain the long-term evolution of industrial systems, independent of the institutional organisation

Near-infrared light increases ATP, extends lifespan and improves mobility in aged Drosophila melanogaster.

Ageing is an irreversible cellular decline partly driven by failing mitochondrial integrity. Mitochondria accumulate DNA mutations and reduce ATP production necessary for cellular metabolism. This is associated with inflammation. Near-infrared exposure increases retinal ATP in old mice via cytochrome c oxidase absorption and reduces inflammation. Here, we expose fruitflies daily to 670 nm radiation, revealing elevated ATP and reduced inflammation with age. Critically, there was a significant increase in average lifespan: 100-175% more flies survived into old age following 670 nm exposure and these had significantly improved mobility. This may be a simple route to extending lifespan and improving function in old age