Moment Operators of Observables in Quantum Mechanics, with Applications to Quantization and Homodyne Detection

The questions studied in this thesis are centered around the moment operators of a quantum observable, the latter being represented by a normalized positive operator measure. The moment operators of an observable are physically relevant, in the sense that these operators give, as averages, the moments of the outcome statistics for the measurement of the observable. The main questions under consideration in this work arise from the fact that, unlike a projection valued observable of the von Neumann formulation, a general positive operator measure cannot be characterized by its first moment operator. The possibility of characterizing certain observables by also involving higher moment operators is investigated and utilized in three different cases: a characterization of projection valued measures among all the observables is given, a quantization scheme for unbounded classical variables using translation covariant phase space operator measures is presented, and, finally, a mathematically rigorous description is obtained for the measurements of rotated quadratures and phase space observables via the high amplitude limit in the balanced homodyne and eight-port homodyne detectors, respectively. In addition, the structure of the covariant phase space operator measures, which is essential for the above quantization, is analyzed in detail in the context of a (not necessarily unimodular) locally compact group as the phase space.

Virtual hand illusion induced by visuomotor correlations

Our body schema gives the subjective impression of being highly stable. However, a number of easily-evoked illusions illustrate its remarkable malleability. In the rubber-hand illusion, illusory ownership of a rubber-hand is evoked by synchronous visual and tactile stimulation on a visible rubber arm and on the hidden real arm. Ownership is concurrent with a proprioceptive illusion of displacement of the arm position towards the fake arm. We have previously shown that this illusion of ownership plus the proprioceptive displacement also occurs towards a virtual 3D projection of an arm when the appropriate synchronous visuotactile stimulation is provided. Our objective here was to explore whether these illusions (ownership and proprioceptive displacement) can be induced by only synchronous visuomotor stimulation, in the absence of tactile stimulation.

Sihtirummun valmistuksen kehittäminen

Diplomityön tarkoituksena oli sihtirummun valmistuksen kehittäminen. Työssä tutkittiin ja kehitettiin sihtirummun tukirenkaan ja sauvalangan liittämismenetelmiä. Tavoitteena oli kehittää muita liittämismenetelmiä nykyisen käsnähitsausmenetelmän tilalle. Teoriaosassa perehdyttiin austeniittiseen ruostumattomaan teräkseen, korroosioon, erilaisiin hitsausmenetelmiin ja kovajuottamiseen. Käytännön osassa kerrotaan koekappaleiden suunnittelusta ja valmistuksesta, koekappaleiden koehitsauksista ja kovajuottamisesta sekä tehdyistä veto- ja väsytyskokeista. Lopuksi koetulosten analysoinnin perusteella eri liittämismenetelmät asetetaan paremmuusjärjestykseen.

Consistency and the core of multi-sided assignment markets

[cat] En aquest treball es demostra que en el domini dels jocs d’assignació equilibrats multisectorials (Quint, 1991), el core és l’única solució no buida que satisfà derived consistency i projection consistency. També es caracteritza el core en tota la classe dels jocs d’assignació multisectorials amb els axiomes de singleness best, individual antimonotonicity i derived consistency. Com a casos particulars, s’obtenen dues noves axiomàtiques del core per als jocs d’assignació bilaterals (Shapley and Shubik, 1972).

Consistency and the core of multi-sided assignment markets

[cat] En aquest treball es demostra que en el domini dels jocs d’assignació equilibrats multisectorials (Quint, 1991), el core és l’única solució no buida que satisfà derived consistency i projection consistency. També es caracteritza el core en tota la classe dels jocs d’assignació multisectorials amb els axiomes de singleness best, individual antimonotonicity i derived consistency. Com a casos particulars, s’obtenen dues noves axiomàtiques del core per als jocs d’assignació bilaterals (Shapley and Shubik, 1972).

Synergies between optical and physical variables in intercepting parabolic targets.

Interception requires precise estimation of time-to-contact (TTC) information. A long-standing view posits that all relevant information for extracting TTC is available in the angular variables, which result from the projection of distal objecs on to the retina. The diferent timing models rooted in this tradition have consequently relied on combining visual angle and its rate of expansion in diferent ways with tau being the most well-known solution for TTC...

Information, learning, and risk in financial markets

Cette thèse comprend trois essais qui abordent l'information le processus d'ap-prentissage ainsi que le risque dans les marchés finances. Elle se concentre d'abord sur les implications à l'équilibre de l'hétérogénéité des agents à travers un processus d'apprentissage comprtemental et de mise à jour de l'information. De plus, elle examine les effets du partage des risques dans un reseau entreprise-fournisseur. Le premier chapitre étudie les effets du biais de disponibili sur l'évaluation des actifs. Ce biais décrit le fait que les agents surestiment l'importance de l'information acquise via l'expérience personnelle. L'hétérogénéité restante des différentes perceptions individuelles amène à une volonté d'échanges. Conformé¬ment aux données empiriques, les jeunes agents échangent plus mais en même temps souffrent d'une performance inférieure. Le deuxième chapitre se penche sur l'impact qu'ont les différences de modelisation entre les agents sur leurs percevons individuelles du processus de prix, dans le contexte des projections de modèles. Les agents sujets à un biais de projection pensent être représentatifs et interprètent les opinions des autres agents comme du bruit. Les agents, avec des modèles plus persistants, perçoivent que les prix réagissent de façon excessive lors des périodes de turbulence. Le troisième chapitre analyse l'impact du partage des risques dans la relation entreprise-fournisseur sur la décision optimale de financement de l'entreprise. Il étudie l'impact sur l'optimisation de la structure du capital ainsi que sur le coût du capital. Les résultats indiquent en particulier qu'un fournisseur avec un effet de levier faible est utile pour le financement d'un nouveau projet d'investissement. Pour des projets très rentables et des fournisseurs à faible effet de levier, le coût des capitaux propres de l'entreprise peut diminuer.

Características y funciones para marcas de lugar a partir de un método Delphi

[ES] Introducción. La representación de territorios mediante el uso de marcas es una cuestión recurrente en la sociedad contemporánea que vivimos. Este artículo tiene por objetivo principal determinar algunas de las características y funciones que presentan las marcas asociadas a espacios geográficos. Metodología. Se ha optado por una investigación cualitativa vehiculada a partir de un método Delphi conformado por un panel de catorce expertos en marcas de lugar. Resultados. En relación con las marcas comerciales, se constata que las marcas de lugar, por su naturaleza de bien público, requieren de una gestión más compleja, preferentemente a tres niveles: administración pública, organizaciones privadas y ciudadanía. Conclusiones. En función de los resultados obtenidos, se concluye que la gestión de los lugares se encuentra nuevamente ocupada en la proyección de identidades espaciales singulares, en el marco de una creciente competencia entre territorios.

Statistical mechanics of multi-edge networks

Statistical properties of binary complex networks are well understood and recently many attempts have been made to extend this knowledge to weighted ones. There are, however, subtle yet important considerations to be made regarding the nature of the weights used in this generalization. Weights can be either continuous or discrete magnitudes, and in the latter case, they can additionally have undistinguishable or distinguishable nature. This fact has not been addressed in the literature insofar and has deep implications on the network statistics. In this work we face this problem introducing multiedge networks as graphs where multiple (distinguishable) connections between nodes are considered. We develop a statistical mechanics framework where it is possible to get information about the most relevant observables given a large spectrum of linear and nonlinear constraints including those depending both on the number of multiedges per link and their binary projection. The latter case is particularly interesting as we show that binary projections can be understood from multiedge processes. The implications of these results are important as many real-agent-based problems mapped onto graphs require this treatment for a proper characterization of their collective behavior.

ClInt: A bilingual Spanish-Catalan spoken corpus of clinical interviews

In this paper we present ClInt (Clinical Interview), a bilingual Spanish-Catalan spoken corpus that contains 15 hours of clinical interviews. It consists of audio files aligned with multiple-level transcriptions comprising orthographic, phonetic and morphological information, as well as linguistic and extralinguistic encoding. This is a previously non-existent resource for these languages and it offers a wide-ranging exploitation potential in a broad variety of disciplines such as Linguistics, Natural Language Processing and related fields.

EsPal: One-stop shopping for Spanish word properties

This article introduces EsPal: a Web-accessible repository containing a comprehensive set of properties of Spanish words. EsPal is based on an extensible set of data sources, beginning with a 300 million token written database and a 460 million token subtitle database. Properties available include word frequency, orthographic structure and neighborhoods, phonological structure and neighborhoods, and subjective ratings such as imageability. Subword structure properties are also available in terms of bigrams and trigrams, bi-phones, and bi-syllables. Lemma and part-of-speech information and their corresponding frequencies are also indexed. The website enables users to either upload a set of words to receive their properties, or to receive a set of words matching constraints on the properties. The properties themselves are easily extensible and will be added over time as they become available. It is freely available from the following website: http://www.bcbl.eu/databases/espal

Does phylogeographic structure relate to climatic niche divergence? A test using maritime pine (Pinus pinaster Ait.)

Aim To disentangle the effects of environmental and geographical processes driving phylogenetic distances among clades of maritime pine (Pinus pinaster). To assess the implications for conservation management of combining molecular information with species distribution models (SDMs; which predict species distribution based on known occurrence records and on environmental variables). Location Western Mediterranean Basin and European Atlantic coast. Methods We undertook two cluster analyses for eight genetically defined pine clades based on climatic niche and genetic similarities. We assessed niche similarity by means of a principal component analysis and Schoener's D metric. To calculate genetic similarity, we used the unweighted pair group method with arithmetic mean based on Nei's distance using 266 single nucleotide polymorphisms. We then assessed the contribution of environmental and geographical distances to phylogenetic distance by means of Mantel regression with variance partitioning. Finally, we compared the projection obtained from SDMs fitted from the species level (SDMsp) and composed from the eight clade-level models (SDMcm). Results Genetically and environmentally defined clusters were identical. Environmental and geographical distances explained 12.6% of the phylogenetic distance variation and, overall, geographical and environmental overlap among clades was low. Large differences were detected between SDMsp and SDMcm (57.75% of disagreement in the areas predicted as suitable). Main conclusions The genetic structure within the maritime pine subspecies complex is primarily a consequence of its demographic history, as seen by the high proportion of unexplained variation in phylogenetic distances. Nevertheless, our results highlight the contribution of local environmental adaptation in shaping the lower-order, phylogeographical distribution patterns and spatial genetic structure of maritime pine: (1) genetically and environmentally defined clusters are consistent, and (2) environment, rather than geography, explained a higher proportion of variation in phylogenetic distance. SDMs, key tools in conservation management, better characterize the fundamental niche of the species when they include molecular information.

Los procesos constructivos de la arquitectura clásica. De la proyección a la ejecución. El caso del Concilium Provinciae Hispaniae Citeriosi de Tarraco

Toda obra arquitectónica necesita de una proyección previa que implique la definición y justificación de sus formas y proporciones, proyección que, a menudo, viene modificada por la realidad ya existente o, en casos de periodos constructivos largos por cambios de opinión, de finalidad o, incluso de promotor. Es el caso del Concilium Provinciae Hispaniae Citerioris de Tarraco, un gran complejo monumental de más de 12 hectáreas de extensión, que necesitó un periodo de tiempo de construcción de entre 70 a 75 años. Los restos arqueológicos conservados permiten la identificación de dos proyectos arquitectónicos sobrepuestos que implican un profundo cambio de proyecto durante el proceso constructivo.

How women and men project their gender prototypes on leader prototypes.

Both role incongruency theory (Eagly & Karau, 2002) and the lack of fit model by Heilman (1983) suggest that the underrepresentation of women in leadership positions can be explained by the male-typedness of leader prototypes. We examine how women and men project their gender prototypes onto leader prototypes. We found initially that men more so than women projected their gender prototypes on leader prototypes. For men there is more of an overlap between a prototypical men and a prototypical leader than there is an overlap between a prototypical woman and a prototypical leader. Women, however, do not engage in so called relative ingroup projection. In the current study, we further decompose this finding asking whether the gender difference in relative ingroup projection on leadership prototypes is driven by female prototypes, male prototypes, and/or leader prototypes. We further examine to what extent this gender difference is more manifested on positively valenced or negatively valenced attributes of prototypes. Our findings show that, while women and men have similar prototypes of leaders and men on both positively and negatively valenced attributes, men relative to women have less favorable prototypes of women but only on positively valenced attributes. An interesting implication is that efforts to address gender differences in the projection of gender prototypes onto leader prototypes should focus less on leader prototypes and more on the female prototypes. Theoretically, our findings allude to the importance of distinguishing between more subtle (evaluating the outgroup less positively on positive properties) and less subtle forms (evaluating the outgroup more negatively on negative properties) of outgroup derogation.