Variational inequalities in Hilbert spaces with measures and optimal stopping problems

We study the existence theory for parabolic variational inequalities in weighted L2 spaces with respect to excessive measures associated with a transition semigroup. We characterize the value function of optimal stopping problems for finite and infinite dimensional diffusions as a generalized solution of such a variational inequality. The weighted L2 setting allows us to cover some singular cases, such as optimal stopping for stochastic equations with degenerate diffusion coeficient. As an application of the theory, we consider the pricing of American-style contingent claims. Among others, we treat the cases of assets with stochastic volatility and with path-dependent payoffs.

Well-posedness and invariant measures for HJM models with deterministic volatility and Lévy noise

We give sufficient conditions for existence, uniqueness and ergodicity of invariant measures for Musiela's stochastic partial differential equation with deterministic volatility and a Hilbert space valued driving Lévy noise. Conditions for the absence of arbitrage and for the existence of mild solutions are also discussed.

An application of MSIASM to Chinese exosomatic energy metabolism

The methodology of Multi-Scale Integrated The methodology of Multi-Scale Integrated Analysis of Societal Metabolism (MSIASM) is applied to analyze the Chinese economy. This paper presents four tasks: (i) identifying a set of benchmarks that makes it possible to compare various characteristics of the Chinese economy with those of other country groups and the world (level) average; (ii) explaining the differences over the selected set of benchmarks, by looking at the characteristics of the various sub-sectors of the Chinese economy; (iii) understanding existing trends and future feasible future development paths for China by studying the existence of reciprocal constraints between the whole economy and its sub-sectors; and (iv) examining plausible future scenarios of development.

Different trajectories of exosomatic energy metabolism for Brazil, Chile and Venezuela: using the MSIASM approach

Economic development goes hand in hand with an increase in the consumption of natural resources. Some analysts use material flows to describe such relationship [Eurostat 2001, Weisz et al., 2006], or exergy [Ayres et al., 2003]. Instead this paper will use a characterisation of the exosomatic energy metabolism based on expected benchmark values to describe possible constraints to economic development posed by available human time and energy. The aim of the paper is to identify types of exosomatic energy metabolism of different societies to interpret its consequences for economic development. This is done with the application of the accounting methodology called Multi-Scale Integrated Analysis of Societal Metabolism (MSIASM) to the particular case of energy metabolism for the analysis of the economies of Brazil, Chile and Venezuela.

Convergence of singular integrals with general measures

We show that L2-bounded singular integrals in metric spaces with respect to general measures and kernels converge weakly. This implies a kind of average convergence almost everywhere. For measures with zero density we prove the almost everywhere existence of principal values.

On the boundedness on inhomogeneous Lipschitz spaces of fractional integrals, singular integrals and hypersingular integrals associated to non-doubling measures on metric spaces

In this paper we prove T1 type necessary and sufficient conditions for the boundedness on inhomogeneous Lipschitz spaces of fractional integrals and singular integrals defined on a measure metric space whose measure satisfies a n-dimensional growth. We also show that hypersingular integrals are bounded on these spaces.

Why Catalonia will see its energy metabolism increase in the near future: an application of MuSIASEM

This paper applies the so-called Multi-Scale Integrated Analysis of Societal and Ecosystem Metabolism (MuSIASEM) to the economy of the Spanish region of Catalonia. By applying Georgescu-Roegen's fund-flow model, it arrives at the conclusion that within a context of the end of cheap oil, the current development model based on the growth of low productivity sectors such as services and construction must change. The change is needed not only because of the increasing scarcity of affordable energy carriers, or because of the increasing environmental impact that the present development represents, but also because of an ageing population that demands labour productivity gains. This will imply industry requiring more energy consumption per worker in order to increase its productivity, and therefore its competitiveness. Thus, we conclude that energy intensity, and exosomatic energy metabolism of Catalonia will increase dramatically in the near future unless major conservation efforts are implemented in both the household and transport sectors.

Development of advanced silicon radiation detectors for high energy physics and medical imaging

The 1st chapter of this work presents the different experiments and collaborations in which I am involved during my PhD studies of Physics. Following those descriptions, the 2nd chapter is dedicated to how the radiation affects the silicon sensors, as well as some experimental measurements carried out at CERN (Geneve, Schwitzerland) and IFIC (Valencia, Spain) laboratories. Besides the previous investigation results, this chapter includes the most recent scientific papers appeared in the latest RD50 (Research & Development #50) Status Report, published in January 2007, as well as some others published this year. The 3rd and 4th are dedicated to the simulation of the electrical behavior of solid state detectors. In chapter 3 are reported the results obtained for the illumination of edgeless detectors irradiated at different fluences, in the framework of the TOSTER Collaboration. The 4th chapter reports about simulation design, simulation and fabrication of a novel 3D detector developed at CNM for ions detection in the future ITER fusion reactor. This chapter will be extended with irradiation simulations and experimental measurements in my PhD Thesis.

A first attempt of geographically-distributed Multi-scale integrated analysis of societal and ecosystem metabolism (MuSIASEM): mapping human time and energy throughput in metropolitan Barcelona

This study presents a first attempt to extend the “Multi-scale integrated analysis of societal and ecosystem metabolism (MuSIASEM)” approach to a spatial dimension using GIS techniques in the Metropolitan area of Barcelona. We use a combination of census and commercial databases along with a detailed land cover map to create a layer of Common Geographic Units that we populate with the local values of human time spent in different activities according to MuSIASEM hierarchical typology. In this way, we mapped the hours of available human time, in regards to the working hours spent in different locations, putting in evidence the gradients in spatial density between the residential location of workers (generating the work supply) and the places where the working hours are actually taking place. We found a strong three-modal pattern of clumps of areas with different combinations of values of time spent on household activities and on paid work. We also measured and mapped spatial segregation between these two activities and put forward the conjecture that this segregation increases with higher energy throughput, as the size of the functional units must be able to cope with the flow of exosomatic energy. Finally, we discuss the effectiveness of the approach by comparing our geographic representation of exosomatic throughput to the one issued from conventional methods.

La revolución energética cubana en la UCLV: ¿un paso en el camino hacia la sostenibilidad?. Parte I: Análisis de los impactos ambientales

La Revolución Energética Cubana (REC) surge de las necesidades de resolver la situación social y económica de Cuba, sumergida en una crisis energética con constantes apagones que limitaban por completo todo desarrollo del país. La REC (2006) se basa en los principios de la autosuficiencia energética, el ahorro y uso racional de la energía, y el incremento de la eficiencia en todos los aspectos. En el presente trabajo se realiza el análisis de la sostenibilidad socio-ambiental de la REC en la Universidad Central Marta Abreu de Las Villas (UCLV), ubicada en Santa Clara (Cuba). La valoración se ha efectuado mediante el análisis de los impactos ambientales y sociales en dos estudios paralelos que se complementan aplicando la técnica de conmensurabilidad débil. El conjunto de los programas de la REC han propiciado mejoras en el suministro eléctrico y en el ahorro energético, disminuyendo en un 44% las emisiones de CO2, a pesar del incremento en la actividad docente y en la flota de equipos. Las medidas adoptadas han incidido en la calidad de la docencia, las condiciones de vida, la concienciación y la participación de la población, dando lugar a un impacto social positivo. De esta manera, el balance global de la REC es positivo ya que ha permitido el desarrollo de la UCLV sin incrementar los impactos ambientales, por lo que se puede considerar un paso en el camino hacia la sostenibilidad socio-ambiental.

La revolución energética cubana en la UCLV: ¿un paso en el camino hacia la sostenibilidad?. Parte II: Análisis de los impactos sociales

La Revolución Energética Cubana (REC) surge de las necesidades de resolver la situación social y económica de Cuba, sumergida en una crisis energética con constantes apagones que limitaban por completo el desarrollo del país. La REC (2006) es un conjunto de medidas basadas en los principios de la autosuficiencia energética, el ahorro y uso racional de la energía, y el incremento de la eficiencia en todos los aspectos. En el presente trabajo se realiza el análisis de la sostenibilidad socio-ambiental de la REC en la Universidad Central Marta Abreu de las Villas (UCLV), ubicada en Santa Clara (Cuba). La valoración se ha efectuado mediante el análisis de los impactos ambientales y sociales en dos estudios paralelos que se complementan aplicando la técnica de conmensurabilidad débil. El conjunto de los programas de la REC han propiciado mejoras en el suministro eléctrico y en el ahorro energético, disminuyendo en un 30% las emisiones de CO2, a pesar del incremento en la actividad docente y en la flota de equipos, en la universidad. Las medidas adoptadas han incidido en la calidad de la docencia, las condiciones de vida, la concienciación y la participación de la población, dando lugar a un impacto social positivo. De esta manera, el balance global de la REC se califica de positivo ya que ha permitido el desarrollo de la UCLV sin incrementar los impactos ambientales, por lo que se puede considerar un paso en el camino hacia la sostenibilidad socio-ambiental.

Bergman-type singular operators and the characterization of Carleson measures for Besov-Sobolev spaces on the complex ball

"Vegeu el resum a l'inici del document del fitxer adjunt."

A well-posedness theory in measures for some kinetic models of collective motion

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the behavior of large groups of animals, such as flocks of birds, swarms, or schools of fish. Our aim is to give a well-posedness theory for general models which possibly include a variety of effects: an interaction through a potential, such as a short-range repulsion and long-range attraction; a velocity-averaging effect where individuals try to adapt their own velocity to that of other individuals in their surroundings; and self-propulsion effects, which take into account effects on one individual that are independent of the others. We develop our theory in a space of measures, using mass transportation distances. As consequences of our theory we show also the convergence of particle systems to their corresponding kinetic equations, and the local-in-time convergence to the hydrodynamic limit for one of the models.

Assessing the quality of alternative energy sources: Energy Return On the Investment (EROI), the metabolic pattern of societies and energy statistics

This paper presents an initial challenge to tackle the every so "tricky" points encountered when dealing with energy accounting, and thereafter illustrates how such a system of accounting can be used when assessing for the metabolic changes in societies. The paper is divided in four main sections. The first three, present a general discussion on the main issues encountered when conducting energy analyses. The last section, subsequently, combines this heuristic approach to the actual formalization of it, in quantitative terms, for the analysis of possible energy scenarios. Section one covers the broader issue of how to account for the relevant categories used when accounting for Joules of energy; emphasizing on the clear distinction between Primary Energy Sources (PES) (which are the physical exploited entities that are used to derive useable energy forms (energy carriers)) and Energy Carriers (EC) (the actual useful energy that is transmitted for the appropriate end uses within a society). Section two sheds light on the concept of Energy Return on Investment (EROI). Here, it is emphasized that, there must already be a certain amount of energy carriers available to be able to extract/exploit Primary Energy Sources to thereafter generate a net supply of energy carriers. It is pointed out that this current trend of intense energy supply has only been possible to the great use and dependence on fossil energy. Section three follows up on the discussion of EROI, indicating that a single numeric indicator such as an output/input ratio is not sufficient in assessing for the performance of energetic systems. Rather an integrated approach that incorporates (i) how big the net supply of Joules of EC can be, given an amount of extracted PES (the external constraints); (ii) how much EC needs to be invested to extract an amount of PES; and (iii) the power level that it takes for both processes to succeed, is underlined. Section four, ultimately, puts the theoretical concepts at play, assessing for how the metabolic performances of societies can be accounted for within this analytical framework.

Anàlisi ambiental de La Pleta: oficina tècnica del Parc del Garraf

En aquest projecte s’ha analitzat la viabilitat de l’autosuficiència de la Pleta, l’oficina tècnica del Parc del Garraf, a partir de diferents recursos renovables. S’ha realitzat un estudi del consum hídric i energètic i de la generació de residus per tal d’avaluar les deficiències de cada sistema, per poder-hi aplicar les mesures pertinents. Els resultats obtinguts mostren que un 40% de l’aigua que es consumeix a l’edifici prové dels camions cisterna que la subministren. Per tant, la principal proposta de millora va encaminada a reduir aquest volum d’aigua i per aconseguir-ho, es proposa augmentar la superfície de recollida d’aigua de pluja aprofitant la zona pavimentada del pati de magatzems. Les altres propostes intentaran reduir el volum total d’aigua consumida, com per exemple canviar el filtre actual de les aixetes per airejadors que permeten estalviar fins a un 50% d’aigua, instal·lar cisternes de volum inferior o posar en funcionament el reg per degoteig instal·lat actualment a la Pleta però que no es troba en funcionament. Pel que fa a l’energia hi ha dues fonts, el gasoil i les plaques FV. En quant al gasoil cal diferenciar entre el consum del generador per produir electricitat i el consum de la caldera per la calefacció. Un cop estudiat el sistema s’ha obtingut que les plaques solars FV aconsegueixen produir el 73% de l’electricitat demandada a la Pleta, la resta de l’electricitat la proporciona el generador. El principal problema, però és el gran consum de gasoil per la calefacció. Les millores proposades per a solucionar aquesta problemàtica pretenen millorar l’eficiència de la instal·lació de plaques solars FV col·locant més panells solars i disminuir el consum de gasoil per part de la calefacció, ja sigui millorant l’eficiència energètica i/o canviant la font d’energia per biomassa. En el cas de residus s’ha observat que es produeixen 3.283 kg/any, sent el rebuig la fracció més important. Per tal de reduir el volum de residus generats, es pretén fomentar la utilització d’estris reutlilitzables i el correcte reciclatge, substituint les papereres actuals dels despatxos per les de paper i posant cartells informatius o indicatiu en els llocs adients.