Restless bandits, linear programming relaxations and a primal-dual index heuristic

We develop a mathematical programming approach for the classicalPSPACE - hard restless bandit problem in stochastic optimization.We introduce a hierarchy of n (where n is the number of bandits)increasingly stronger linear programming relaxations, the lastof which is exact and corresponds to the (exponential size)formulation of the problem as a Markov decision chain, while theother relaxations provide bounds and are efficiently computed. Wealso propose a priority-index heuristic scheduling policy fromthe solution to the first-order relaxation, where the indices aredefined in terms of optimal dual variables. In this way wepropose a policy and a suboptimality guarantee. We report resultsof computational experiments that suggest that the proposedheuristic policy is nearly optimal. Moreover, the second-orderrelaxation is found to provide strong bounds on the optimalvalue.

A note on the dual scaling of dominance data and its relationship to correspondence analysis

Dual scaling of a subjects-by-objects table of dominance data (preferences,paired comparisons and successive categories data) has been contrasted with correspondence analysis, as if the two techniques were somehow different. In this note we show that dual scaling of dominance data is equivalent to the correspondence analysis of a table which is doubled with respect to subjects. We also show that the results of both methods can be recovered from a principal components analysis of the undoubled dominance table which is centred with respect to subject means.

Voto dual y abstención diferencial. Un estudio sobre el comportamiento electoral en Cataluña

En este trabajo se presentan los resultados de un estudio empírico sobre los motivos del cambio sistemático de resultados electorales que se da en Cataluña según el ámbito de la convocatoria electoral de que se trate. La hipótesis, contrastada positivamente con datos del período 1982-1993, es que la victoria del partido nacionalista de centro derecha en las elecciones autonómicas en un territorio donde vencen siempre los socialistas en las elecciones legislativas se debe a la combinación de los fenómenos del voto dual y del abstencionismo diferencial. La aproximación metodológica de la elección racional permite construir grupos de electores que tienen distintas percepciones del espacio en el que se dirime la competición política, hecho que les induce a un comportamiento electoral diferenciado. Combinando estos resultados con los obtenidos del análisis con datos socioestructurales agregados, se establece un cierto perfil de los votantes duales y de los abstencionistas diferenciales. Finalmente, se realiza una interpretación de los resultados de las elecciones catalanas de 1995 y 1999 a la luz de los resultados de este estudio.This article presents the results of an empirical study about the reasons of the systematic change in the electoral results in Catalonia according to the type of elections. The hypothesis, positively tested with data from the period 1982-1993, is that the victory of the nationalist centre-right party in the autonomous elections in a region where always wins the socialist party in general elections, is due to the combination of the dual vote and differential abstention phenomena. The rational choice methodological approach allow to construct groups of electors with different perceptions about the space in which the political race takes place, fact that induces them different electoral behaviour. In combining these results with those obtained from the analysis with aggregated social and structural data, it is defined a certain the profile of the dual voters and the differential non-voters. Finally, it is given an interpretation of the Catalan election results in 1995 and 1999 using as a clue the results of this study.

L'aflorament volcànic del mas Ventós (el Port de la Selva, Alt Empordà)

Es descriu un aflorament volcànic localitzat a la rodalia del mas Ventós (el Port de la Selva), a la part central de la serra de Rodes, dins el Pirineu axial. Es tracta d’una xemeneia volcànica enclavada en granodiorites gneissificades. Els materials que la componen són basalts olivínics alcalins amb textura traquítica, bastant alterats, els quals queden colgats per un dipòsit col·luvial sense consolidar. Les dimensions de la xemeneia són difícils de determinar pel recobriment que presenta: supera els 70 m en direcció nord-nord-est a sud-sud-oest i és d’uns 35 m en la perpendicular a aquesta. Aquest aflorament va ser citat per Teixidor fa més d’ un segle, i no s’ha retrobat fins ara

Nota sobre la presencia de depósitos morrenicos en Port de Compte (Lleida)

Here we describe a series of recognized morainic deposits in the "Macizo del Port del Comte", which are the southern-most example of the eastern pre Pyrenees

Estudio de la estensión urbana de la ciudad de Port-Saint-Louis-du-Rhône, Marsella

Projecte presentat en el concurs d'estudis per a l'extensió urabana de la ciutat de Port-Saint-Louis-du-Rhône

Exact representation of antenna system diversity performance from input parameter description

A simplc formulation Io compute thc envelope correlation of anantenna divemiry system is dcrired. 11 is shown how to compute theenvelope correlation hom the S-parameter descnplian of the antennasystem. This approach has the advantage that i t does not require thecomputation nor the measurement of the radiation panem of theantenna system. It also offers the advantage of providing a clcaunderstanding ofthe effects ofmutual coupling and input match on thediversity performance of the antcnnii system.

El carrer del Port

Projecte presentat al concurs "La transformació urbana de la Ronda Barceló"

A theoretical and practical study on linear reforms of dual taxes

[cat] En aquest treball extenem les reformes lineals introduïdes per Pfähler (1984) al cas d’impostos duals. Estudiem l’efecte relatiu que els retalls lineals duals d’un impost dual tenen sobre la distribució de la desigualtat -es pot fer un estudi simètric per al cas d’augments d’impostos-. Tambe introduïm mesures del grau de progressivitat d’impostos duals i mostrem que estan connectades amb el criteri de dominació de Lorenz. Addicionalment, estudiem l’elasticitat de la càrrega fiscal de cadascuna de les reformes proposades. Finalment, gràcies a un model de microsimulació i una gran base de dades que conté informació sobre l’IRPF espanyol de l’any 2004, 1) comparem l’efecte que diferents reformes tindrien sobre l’impost dual espanyol i 2) estudiem quina redistribució de la riquesa va suposar la reforma dual de l’IRPF (Llei ’35/2006’) respecte l’anterior impost.

Kinematically complete analysis of the CLAS data on the proton structure Function F2 in a Regge-Dual model

The recently measured inclusive electron-proton cross section in the nucleon resonance region, performed with the CLAS detector at the Thomas Jefferson Laboratory, has provided new data for the nucleon structure function F2 with previously unavailable precision. In this paper we propose a description of these experimental data based on a Regge-dual model for F2. The basic inputs in the model are nonlinear complex Regge trajectories producing both isobar resonances and a smooth background. The model is tested against the experimental data, and the Q2 dependence of the moments is calculated. The fitted model for the structure function (inclusive cross section) is a limiting case of the more general scattering amplitude equally applicable to deeply virtual Compton scattering. The connection between the two is discussed.

Diffractive J/Psi photoproduction in a dual model

J/psi photoproduction is studied in the framework of the analytic S-matrix theory. The differential and integrated elastic cross sections for J/psi photoproduction are calculated from a dual amplitude with Mandelstam analyticity. It is argued that, at low energies, the background, which is the low-energy equivalent of the high-energy diffraction, replaces the Pomeron exchange. The onset of the high-energy Pomeron dominance is estimated from the fits to the data.

Exclusive J/Psi electroproduction in a dual model

Exclusive J/Psi electroproduction is studied in the framework of the analytic S-matrix theory. The differential and integrated elastic cross sections are calculated using the modified dual amplitude with Mandelstam analyticity model. The model is applied to the description of the available experimental data and proves to be valid in a wide region of the kinematical variables s, t, and Q(2). Our amplitude can be used also as a universal background parametrization for the extraction of tiny resonance signals.

Dual-Regge approach to high-energy, low-mass diffraction dissociation

A dual-Regge model with a nonlinear proton Regge trajectory in the missing mass (MX2) channel, describing the experimental data on low-mass single diffraction dissociation (SDD), is constructed. Predictions for the LHC energies are given.

What can we learn about gravitational wave physics with an elastic spherial antenna?

A general formalism is set up to analyze the response of an arbitrary solid elastic body to an arbitrary metric gravitational wave (GW) perturbation, which fully displays the details of the interaction antenna wave. The formalism is applied to the spherical detector, whose sensitivity parameters are thereby scrutinized. A multimode transfer function is defined to study the amplitude sensitivity, and absorption cross sections are calculated for a general metric theory of GW physics. Their scaling properties are shown to be independent of the underlying theory, with interesting consequences for future detector design. The GW incidence direction deconvolution problem is also discussed, always within the context of a general metric theory of the gravitational field.