Symbol and logo of Barcelona’92 Olympic Games

This text has been published in the book Jocs Olímpics, comunicació i intercanvis culturals: l’experiència dels últims quatre Jocs Olímpics d’estiu, gathering the communications presented in the international Symposium that was celebrated in Barcelona from 3 to 5 april of 1991.

Wiener type theorems for Jacobi series with nonnegative coefficients

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

Existence and uniqueness of viscosity solution for Hamilton-Jacobi equation with discontinuous coefficients dependent on time

The main result is a proof of the existence of a unique viscosity solution for Hamilton-Jacobi equation, where the hamiltonian is discontinuous with respect to variable, usually interpreted as the spatial one. Obtained generalized solution is continuous, but not necessarily differentiable.

The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties

This paper focuses on the connection between the Brauer group and the 0-cycles of an algebraic variety. We give an alternative construction of the second l-adic Abel-Jacobi map for such cycles, linked to the algebraic geometry of Severi-Brauer varieties on X. This allows us then to relate this Abel-Jacobi map to the standard pairing between 0-cycles and Brauer groups (see [M], [L]), completing results from [M] in this direction. Second, for surfaces, it allows us to present this map according to the more geometrical approach devised by M. Green in the framework of (arithmetic) mixed Hodge structures (see [G]). Needless to say, this paper owes much to the work of U. Jannsen and, especially, to his recently published older letter [J4] to B. Gross.

Hamilton Jacobi theory for constrained systems

We extend the HamiltonJacobi formulation to constrained dynamical systems. The discussion covers both the case of first-class constraints alone and that of first- and second-class constraints combined. The HamiltonDirac equations are recovered as characteristic of the system of partial differential equations satisfied by the HamiltonJacobi function.

Hamilton-Jacobi theory for constrained systems

We extend the HamiltonJacobi formulation to constrained dynamical systems. The discussion covers both the case of first-class constraints alone and that of first- and second-class constraints combined. The HamiltonDirac equations are recovered as characteristic of the system of partial differential equations satisfied by the HamiltonJacobi function.

A performance lower bound for quadratic timing recovery accounting for the symbol transition density

The symbol transition density in a digitally modulated signal affects the performance of practical synchronization schemes designed for timing recovery. This paper focuses on the derivation of simple performance limits for the estimation of the time delay of a noisy linearly modulated signal in the presence of various degrees of symbol correlation produced by the varioustransition densities in the symbol streams. The paper develops high- and low-signal-to-noise ratio (SNR) approximations of the so-called (Gaussian) unconditional Cramér–Rao bound (UCRB),as well as general expressions that are applicable in all ranges of SNR. The derived bounds are valid only for the class of quadratic, non-data-aided (NDA) timing recovery schemes. To illustrate the validity of the derived bounds, they are compared with the actual performance achieved by some well-known quadratic NDA timing recovery schemes. The impact of the symbol transitiondensity on the classical threshold effect present in NDA timing recovery schemes is also analyzed. Previous work on performancebounds for timing recovery from various authors is generalized and unified in this contribution.

Asymptotic equivalence between the unconditional maximum likelihood and the square-law nonlinearity symbol timing estimation

This paper provides a systematic approach to theproblem of nondata aided symbol-timing estimation for linearmodulations. The study is performed under the unconditionalmaximum likelihood framework where the carrier-frequencyerror is included as a nuisance parameter in the mathematicalderivation. The second-order moments of the received signal arefound to be the sufficient statistics for the problem at hand and theyallow the provision of a robust performance in the presence of acarrier-frequency error uncertainty. We particularly focus on theexploitation of the cyclostationary property of linear modulations.This enables us to derive simple and closed-form symbol-timingestimators which are found to be based on the well-known squaretiming recovery method by Oerder and Meyr. Finally, we generalizethe OM method to the case of linear modulations withoffset formats. In this case, the square-law nonlinearity is foundto provide not only the symbol-timing but also the carrier-phaseerror.

Reduction, Linearization and stability of relative equilibria for mechanical systems on riemannian manifolds

Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry, and linearization along a controlled trajectory "commute." As part of the development, relationships are derived between the Jacobi equation of geodesic variation and concepts from reduction theory, such as the curvature of the mechanical connection and the effective potential. As an application of our techniques, fiber and base stability of relative equilibria are studied. The paper also serves as a tutorial of Riemannian geometric methods applicable in the intersection of mechanics and control theory.

Urgències neurovasculars a l’hospital universitari Vall D’HEBRON (2001-2008)

La malaltia cerebrovascular és una de les patologies més prevalents a Catalunya, motivant un gran nombre de consultes a urgències i una de les primeres causes de mortalitat i discapacitat en adults. L’objectiu d’aquest estudi descriptiu fou explorar les característiques dels pacients amb patologia neurovascular atesos a urgències de l’Hospital Vall d’Hebron entre 2001 i 2008 a través de diverses variables. En vuit anys, s’ha produit un canvi en el perfil d’aquests pacients, amb l’augment de la complexitat diagnòstico-terapèutica de l’atenció de l’ictus a urgències. Amb tot, observem una disminució de la necessitat d’ingrés, la mortalitat i l’estada mitja hospitalària.

Els bara : una comunitat ramadera. El robatori de zebús a Madagascar

Els membres de l'ètnia bara de Madagascar, eminentment ramadera, viuen la seva cultura entorn d'un animal, el zebú, que no només és moneda de canvi i força per al transport, sinó tot un símbol per a aquest poble, i entorn del qual se segueixen tot un seguit de rituals. L'estudi es centra en el robatori de zebús, com a ritual de pas de l'edat jove a l'adulta. Tanmateix, el poble bara és en l'actualitat víctima d'un prejudici lamentable, ja que s'associa amb els lladres de bestiar en el context del problema social i econòmic actual de bandits armats i el robatori de l'espècie bovina a gran escala.Passant d'allò general a allò concret, l'estudi s'estructura de la següent manera: en primer lloc, es fa una aproximació inicial a l'ètnia bara i a la seva cultura lligada al seu ramat, fent esment al fenomen de la desforestació que devasta el país i que guarda certa relació amb l'objecte de recerca; posteriorment, es passa a explicar en què consisteix el robatori de zebús, les diverses motivacions que el provoquen i la seva evolució fins a l'actualitat.

Applications of stochastic analysis in finance and statistical inference

First: A continuous-time version of Kyle's model (Kyle 1985), known as the Back's model (Back 1992), of asset pricing with asymmetric information, is studied. A larger class of price processes and of noise traders' processes are studied. The price process, as in Kyle's model, is allowed to depend on the path of the market order. The process of the noise traders' is an inhomogeneous Lévy process. Solutions are found by the Hamilton-Jacobi-Bellman equations. With the insider being risk-neutral, the price pressure is constant, and there is no equilibirium in the presence of jumps. If the insider is risk-averse, there is no equilibirium in the presence of either jumps or drifts. Also, it is analised when the release time is unknown. A general relation is established between the problem of finding an equilibrium and of enlargement of filtrations. Random announcement time is random is also considered. In such a case the market is not fully efficient and there exists equilibrium if the sensitivity of prices with respect to the global demand is time decreasing according with the distribution of the random time. Second: Power variations. it is considered, the asymptotic behavior of the power variation of processes of the form _integral_0^t u(s-)dS(s), where S_ is an alpha-stable process with index of stability 0&alpha&2 and the integral is an Itô integral. Stable convergence of corresponding fluctuations is established. These results provide statistical tools to infer the process u from discrete observations. Third: A bond market is studied where short rates r(t) evolve as an integral of g(t-s)sigma(s) with respect to W(ds), where g and sigma are deterministic and W is the stochastic Wiener measure. Processes of this type are particular cases of ambit processes. These processes are in general not of the semimartingale kind.

On spectral approximation, Folner sequences and crossed products

In this article we review first some of the possibilities in which the notions of Fo lner sequences and quasidiagonality have been applied to spectral approximation problems. We construct then a canonical Fo lner sequence for the crossed product of a concrete C* -algebra and a discrete amenable group. We apply our results to the rotation algebra (which contains interesting operators like almost Mathieu operators or periodic magnetic Schrödinger operators on graphs) and the C* -algebra generated by bounded Jacobi operators.

Estudio de parámetros gasométricos en sangre pre y post oclusión en el ictus agudo isquemico

Durante los procedimientos endovasculares en el ictus isquémico la información per-procedimiento del daño cerebral ayudaría a tomar decisiones sobre intentar la recanalización arterial. Métodos Se estudiaron parámetros gasométricos de sangre extraída durante los procedimientos endovasculares de recanalización. Se obtuvieron muestras proximal y distal a la oclusión. Un estudio gasométrico se realizo inmediatamente. Resultados El estudio mostró diferencias significativas entre las muestras pre-oclusión y postoclusión en la presión parcial de oxígeno (PaO2Pre78,9±16.3mmHgVs73.4±14.9 mmHg,p&0,001). Una curva ROC determinó que una Post-PaO2&70 mmHg predice mejoría clínica. Los pacientes con post-PaO2&70mmHg tuvieron mejor autonomía (medianaMRS:3Vs.6, p=0,024). En el análisis multivariante el único predictor independiente de mejoría clínica fue la Post-PaO2&70(OR:5,21IC95%:1.38-67.24,p=0,013). Conclusión Es posible la obtención de muestras de sangre del tejido lesionado distal a la oclusión. La información puede ser utilizada para predecir evolución clínica y en las decisiones durante el procedimiento.

Dynamical features of reaction-diffusion fronts in fractals

The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-transport equation into a Hamilton-Jacobi equation and (ii) the local-equilibrium approach. Different equations proposed for describing transport in fractal media, together with logistic reaction kinetics, are considered. Finally, we analyze the main features of wave fronts resulting from this dynamic process, i.e., why they are accelerated and what is the exact form of this acceleration