Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions

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Hopf bifurcation in higher dimensional differential systems via the averaging method

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Rational first integrals in the Darboux theory of integrability in Cn

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Characterizations of Lojasiewicz inequalities and applications

The classical Lojasiewicz inequality and its extensions for partial differential equation problems (Simon) and to o-minimal structures (Kurdyka) have a considerable impact on the analysis of gradient-like methods and related problems: minimization methods, complexity theory, asymptotic analysis of dissipative partial differential equations, tame geometry. This paper provides alternative characterizations of this type of inequalities for nonsmooth lower semicontinuous functions defined on a metric or a real Hilbert space. In a metric context, we show that a generalized form of the Lojasiewicz inequality (hereby called the Kurdyka- Lojasiewicz inequality) relates to metric regularity and to the Lipschitz continuity of the sublevel mapping, yielding applications to discrete methods (strong convergence of the proximal algorithm). In a Hilbert setting we further establish that asymptotic properties of the semiflow generated by -∂f are strongly linked to this inequality. This is done by introducing the notion of a piecewise subgradient curve: such curves have uniformly bounded lengths if and only if the Kurdyka- Lojasiewicz inequality is satisfied. Further characterizations in terms of talweg lines -a concept linked to the location of the less steepest points at the level sets of f- and integrability conditions are given. In the convex case these results are significantly reinforced, allowing in particular to establish the asymptotic equivalence of discrete gradient methods and continuous gradient curves. On the other hand, a counterexample of a convex C2 function in R2 is constructed to illustrate the fact that, contrary to our intuition, and unless a specific growth condition is satisfied, convex functions may fail to fulfill the Kurdyka- Lojasiewicz inequality.

La representació de cançons en gèneres audiovisuals musicals: Anàlisi de dos documentals musicals subtitulats i d'onze videoclips de Madonna

La subtitulació de cançons és un camp força inexplorat en el món de la traducció audiovisual. En aquest treball de recerca proposo un estudi més exhaustiu sobre la traducció de cançons, especialment pel que fa a la subtitulació, tot posant com a exemple una part de la producció discogràfica i cinematogràfica d’una de les icones internacionals de la música pop actual: Madonna. El treball està dividit en un primer capítol teòric sobre l’estat de la qüestió en relació a la subtitulació de cançons, un segon capítol amb els resultats d’una enquesta sobre la recepció de Madonna, un tercer capítol d’anàlisi del corpus escollit (els documentals musicals subtitulats In bed with Madonna i I’m going to tell you a secret i onze videoclips musicals de Madonna), i un quart i últim capítol de conclusions finals. L’objectiu principal del treball de recerca és determinar la importància de subtitular les cançons incloses als documentals musicals i, també, als videoclips musicals, gèneres audiovisuals en auge en l’actualitat. Song subtitling is a largely unexplored field in audiovisual translation. In this research paper I carry out a more exhaustive analysis on song translation, specially on subtitling, taking as an example a part of the music and film production of one of the most international icons of pop music nowadays: Madonna. The paper is divided into: a first chapter on the state of the art on song subtitling, a second chapter including the results of a survey about the reception of Madonna, a third chapter analysing the corpus (music documentaries In Bed With Madonna and I’m Going to Tell You a Secret and eleven Madonna music videos), and a fourth chapter with concluding remarks. The main object of this research is to determine the importance of subtitling the songs included in music documentaries and music videos, both currently flourishing genres.

Anàlisi del resultat de les proves de competències bàsiques dels alumnes de primària del Cepsa Oriol Martorell de barcelona que estudien música

En aquest treball es relaciona l’aprenentatge de la Música amb l’adquisició de les competències bàsiques. La hipòtesi del treball és que la música afavoreix l’assimilació de competències, i que amb l’activitat musical no només ens formem com a persones i aprenem música, sinó que també adquirim competències. És per això que l’estudi es centra en la comparació de resultats obtinguts en les proves de Competències bàsiques a Primària dels alumnes de l’especialitat de Música del CEPSA Oriol Martorell de Barcelona amb els resultats globals de Catalunya i amb els globals del Centre.

Linking Global Youth Tobacco Survey (GYTS) data to the WHO Framework Convention on Tobacco Control (FCTC): the case for the Seychelles

Tobacco control has been recognized as a main public health concern in Seychelles for the past two decades. Tobacco advertising, sponsoring and promotion has been banned for years, tobacco products are submitted to high taxes, high-profile awareness programs are organized regularly, and several other control measures have been implemented. The Republic of Seychelles was the first country to ratify the WHO Framework Convention on Tobacco Control (FCTC) in the African region. Three population-based surveys have been conducted in adults in Seychelles and results showed a substantial decrease in the prevalence of smoking among adults between 1989 and 2004. A first survey in adolescents was conducted in Seychelles in 2002 (the Global Youth Tobacco Survey, GYTS) in a representative sample of 1321 girls and boys aged 13-15 years. The results show that approximately half of students had tried smoking and a quarter of both boys and girls had smoked at least one cigarette during the past 30 days. Although "current smoking" is defined differently in adolescents (>or=1 cigarette during the past 30 days) and in adults (>or=1 cigarette per day), which precludes direct comparison, the high smoking prevalence in youth in Seychelles likely predicts an increasing prevalence of tobacco use in the next adult generation, particularly in women. GYTS 2002 also provides important data on a wide range of specific individual and societal factors influencing tobacco use. Hence, GYTS can be a powerful tool for monitoring the situation of tobacco use in adolescents, for highlighting the need for new policy and programs, and for evaluating the impact of current and future programs.

Net spaces and boundedness of integral operators

In this paper we introduce new functional spaces which we call the net spaces. Using their properties, the necessary and sufficient conditions for the integral operators to be of strong or weak-type are obtained. The estimates of the norm of the convolution operator in weighted Lebesgue spaces are presented.

Convolution inequalities in Lorentz spaces

In this paper we study boundedness of the convolution operator in different Lorentz spaces. In particular, we obtain the limit case of the Young-O'Neil inequality in the classical Lorentz spaces. We also investigate the convolution operator in the weighted Lorentz spaces. Finally, norm inequalities for the potential operator are presented.

Proper actions, fixed-point algebras and naturality in nonabelian duality

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On the growth rate of minor-closed classes of graphs

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Generalized multiresolution analyses with given multiplicity functions

Generalized multiresolution analyses are increasing sequences of subspaces of a Hilbert space H that fail to be multiresolution analyses in the sense of wavelet theory because the core subspace does not have an orthonormal basis generated by a fixed scaling function. Previous authors have studied a multiplicity function m which, loosely speaking, measures the failure of the GMRA to be an MRA. When the Hilbert space H is L2(Rn), the possible multiplicity functions have been characterized by Baggett and Merrill. Here we start with a function m satisfying a consistency condition which is known to be necessary, and build a GMRA in an abstract Hilbert space with multiplicity function m.

Anàlisi de la viabilitat dels cultius energètics a Catalunya

Els biocombustibles constitueixen la font energètica renovable més important que volen implantar les administracions per tal de disminuir les emissions d’efecte hivernacle. Tot i això es demostra que la producció local, en el millor dels casos, és insuficient per arribar als objectius proposats i que caldrà importar els productes d’altres països. D’aquesta manera, no es redueix la dependència energètica de l’exterior i la reducció d’emissions no és tan significativa com s’esperava. En contra, una producció i consums a escala local poden tenir un impacte econòmic, ambiental i social positiu.