Formal function and phrase structure in contemporary music : Pierre Boulez’s late solo works and Sean Clarke’s "Lucretia Overture" and "4 Impromptus"

Cette thèse présente une théorie de la fonction formelle et de la structure des phrases dans la musique contemporaine, théorie qui peut être utilisée aussi bien comme outil analytique que pour créer de nouvelles œuvres. Deux concepts théoriques actuels aident à clarifier la structure des phrases : les projections temporelles de Christopher Hasty et la théorie des fonctions formelles de William Caplin, qui inclut le concept de l’organisation formelle soudée versus lâche (tight-knit vs. loose). Les projections temporelles sont perceptibles grâce à l’accent mis sur les paramètres secondaires, comme le style du jeu, l’articulation et le timbre. Des sections avec une organisation formelle soudée ont des projections temporelles claires, qui sont créées par la juxtaposition des motifs distincts, généralement sous la forme d'une idée de base en deux parties. Ces projections organisent la musique en phrases de présentation, en phrases de continuité et finalement, à des moments formels charnières, en phrases cadentielles. Les sections pourvues d’une organisation plus lâche tendent à présenter des projections et mouvements harmoniques moins clairs et moins d’uniformité motivique. La structure des phrases de trois pièces tardives pour instrument soliste de Pierre Boulez est analysée : Anthèmes I pour violon (1991-1992) et deux pièces pour piano, Incises (2001) et une page d’éphéméride (2005). Les idées proposées dans le présent document font suite à une analyse de ces œuvres et ont eu une forte influence sur mes propres compositions, en particulier Lucretia Overture pour orchestre et 4 Impromptus pour flûte, saxophone soprano et piano, qui sont également analysés en détail. Plusieurs techniques de composition supplémentaires peuvent être discernés dans ces deux œuvres, y compris l'utilisation de séquence mélodiques pour contrôler le rythme harmonique; des passages composés de plusieurs couches musicales chacun avec un structure de phrase distinct; et le relâchement de l'organisation formelle de matériels récurrents. Enfin, la composition de plusieurs autres travaux antérieurs a donné lieu à des techniques utilisées dans ces deux œuvres et ils sont brièvement abordés dans la section finale.

Analysis and control of transient spectra using time-dependent density functional theory.

215 p.

Error analyses reveal contrasting deficits in “theory of mind”: neuropsychological evidence from a 3-option false belief task

Perspective taking is a crucial ability that guides our social interactions. In this study, we show how the specific patterns of errors of brain-damaged patients in perspective taking tasks can help us further understand the factors contributing to perspective taking abilities. Previous work (e.g., Samson, Apperly, Chiavarino, & Humphreys, 2004; Samson, Apperly, Kathirgamanathan, & Humphreys, 2005) distinguished two components of perspective taking: the ability to inhibit our own perspective and the ability to infer someone else’s perspective. We assessed these components using a new nonverbal false belief task which provided different response options to detect three types of response strategies that participants might be using: a complete and spared belief reasoning strategy, a reality-based response selection strategy in which participants respond from their own perspective, and a simplified mentalising strategy in which participants avoid responding from their own perspective but rely on inaccurate cues to infer the other person’s belief. One patient, with a self-perspective inhibition deficit, almost always used the reality-based response strategy; in contrast, the other patient, with a deficit in taking other perspectives, tended to use the simplified mentalising strategy without necessarily transposing her own perspective. We discuss the extent to which the pattern of performance of both patients could relate to their executive function deficit and how it can inform us on the cognitive and neural components involved in belief reasoning.

Emotional Theory of Rationality

In recent decades, it has been definitely established the existence of a close relationship between the emotional phenomena and rational processes, but we still do not have a unified definition, or effective models to describe any of them well. To advance our understanding of the mechanisms governing the behavior of living beings we must integrate multiple theories, experiments and models from both fields. In this paper we propose a new theoretical framework that allows integrating and understanding, from a functional point of view, the emotion-cognition duality. Our reasoning, based on evolutionary principles, add to the definition and understanding of emotion, justifying its origin, explaining its mission and dynamics, and linking it to higher cognitive processes, mainly with attention, cognition, decision-making and consciousness. According to our theory, emotions are the mechanism for brain function optimization, besides being the contingency and stimuli prioritization system. As a result of this approach, we have developed a dynamic systems-level model capable of providing plausible explanations for some psychological and behavioral phenomena, and establish a new framework for scientific definition of some fundamental psychological terms.

H-infinity control design for time-delay linear systems: a rational transfer function based approach

The aim of this paper is to present new results on H-infinity control synthesis for time-delay linear systems. We extend the use of a finite order LTI system, called comparison system to H-infinity analysis and design. Differently from what can be viewed as a common feature of other control design methods available in the literature to date, the one presented here treats time-delay systems control design with classical numeric routines based on Riccati equations arisen from H-infinity theory. The proposed algorithm is simple, efficient and easy to implement. Some examples illustrating state and output feedback design are solved and discussed in order to put in evidence the most relevant characteristic of the theoretical results. Moreover, a practical application involving a 3-DOF networked control system is presented.

Trade Shocks and Local Labor Markets' Linkages: Theory and Evidence

In the past few years, there has been a concern among economists and policy makers that increased openness to international trade affects some regions in a country more than others. Recent research has found that local labor markets more exposed to import competition through their initial employment composition experience worse outcomes in several dimensions such as, employment, wages, and poverty. Although there is evidence that regions within a country exhibit variation in the intensity with which they trade with each other and with other countries, trade linkages have been ignored in empirical analyses of the regional effects of trade, which focus on differences in employment composition. In this dissertation, I investigate how local labor markets' trade linkages shape the response of wages to international trade shocks. In the second chapter, I lay out a standard multi-sector general equilibrium model of trade, where domestic regions trade with each other and with the rest of the world. Using this benchmark, I decompose a region's wage change resulting from a national import cost shock into a direct effect on prices, holding other endogenous variables constant, and a series of general equilibrium effects. I argue the direct effect provides a natural measure of exposure to import competition within the model since it summarizes the effect of the shock on a region's wage as a function of initial conditions given by its trade linkages. I call my proposed measure linkage exposure while I refer to the measures used in previous studies as employment exposure. My theoretical analysis also shows that the assumptions previous studies make on trade linkages are not consistent with the standard trade model. In the third chapter, I calibrate the model to the Brazilian economy in 1991--at the beginning of a period of trade liberalization--to perform a series of experiments. In each of them, I reduce the Brazilian import cost by 1 percent in a single sector and I calculate how much of the cross-regional variation in counterfactual wage changes is explained by exposure measures. Over this set of experiments, employment exposure explains, for the median sector, 2 percent of the variation in counterfactual wage changes while linkage exposure explains 44 percent. In addition, I propose an estimation strategy that incorporates trade linkages in the analysis of the effects of trade on observed wages. In the model, changes in wages are completely determined by changes in market access, an endogenous variable that summarizes the real demand faced by a region. I show that a linkage measure of exposure is a valid instrument for changes in market access within Brazil. By using observed wage changes in Brazil between 1991-2000, my estimates imply that a region at the 25th percentile of the change in domestic market access induced by trade liberalization, experiences a 0.6 log points larger wage decline (or smaller wage increase) than a region at the 75th percentile. The estimates from a regression of wages changes on exposure imply that a region at the 25th percentile of exposure experiences a 3 log points larger wage decline (or smaller wage increase) than a region at the 75th percentile. I conclude that estimates based on exposure overstate the negative impact of trade liberalization on wages in Brazil. In the fourth chapter, I extend the standard model to allow for two types of workers according to their education levels: skilled and unskilled. I show that there is substantial variation across Brazilian regions in the skill premium. I use the exogenous variation provided by tariff changes to estimate the impact of market access on the skill premium. I find that decreased domestic market access resulting from trade liberalization resulted in a higher skill premium. I propose a mechanism to explain this result: that the manufacturing sector is relatively more intensive in unskilled labor and I show empirical evidence that supports this hypothesis.

On the duration of negative surplus

Doutoramento em Matemática

A discrete-time queueing system with feedback and optional service

Queueing systems constitute a central tool in modeling and performance analysis. These types of systems are in our everyday life activities, and the theory of queueing systems was developed to provide models for forecasting behaviors of systems subject to random demand. The practical and useful applications of the discrete-time queues make the researchers to con- tinue making an e ort in analyzing this type of models. Thus the present contribution relates to a discrete-time Geo/G/1 queue in which some messages may need a second service time in addition to the rst essential service. In day-to-day life, there are numerous examples of queueing situations in general, for example, in manufacturing processes, telecommunication, home automation, etc, but in this paper a particular application is the use of video surveil- lance with intrusion recognition where all the arriving messages require the main service and only some may require the subsidiary service provided by the server with di erent types of strategies. We carry out a thorough study of the model, deriving analytical results for the stationary distribution. The generating functions of the number of messages in the queue and in the system are obtained. The generating functions of the busy period as well as the sojourn times of a message in the server, the queue and the system are also provided.

Reconciling Function- and Affordance-Based Design

Traditional engineering design methods are based on Simon's (1969) use of the concept function, and as such collectively suffer from both theoretical and practical shortcomings. Researchers in the field of affordance-based design have borrowed from ecological psychology in an attempt to address the blind spots of function-based design, developing alternative ontologies and design processes. This dissertation presents function and affordance theory as both compatible and complimentary. We first present a hybrid approach to design for technology change, followed by a reconciliation and integration of function and affordance ontologies for use in design. We explore the integration of a standard function-based design method with an affordance-based design method, and demonstrate how affordance theory can guide the early application of function-based design. Finally, we discuss the practical and philosophical ramifications of embracing affordance theory's roots in ecology and ecological psychology, and explore the insights and opportunities made possible by an ecological approach to engineering design. The primary contribution of this research is the development of an integrated ontology for describing and designing technological systems using both function- and affordance-based methods.

Perturbative Ward identities for Yang-Mills field theory stochastically quantized

%'e compute the divergent part of the three-point vertex function of the non-Abelian Yang-Mills gauge field theory within the stochastic quantization approach to the one-loop order. This calculation allows us to find four renormalization constants which, together with the four previously obtained, verify, to the calculated order, some Ward identities.

The generating function of the generalized Fibonacci sequence

Using tools of the theory of orthogonal polynomials we obtain the generating function of the generalized Fibonacci sequence established by Petronilho for a sequence of real or complex numbers {Qn} defined by Q0 = 0, Q1 = 1, Qm = ajQm−1 + bjQm−2, m ≡ j (mod k), where k ≥ 3 is a fixed integer, and a0, a1, . . . , ak−1, b0, b1, . . . , bk−1 are 2k given real or complex numbers, with bj #0 for 0 ≤ j ≤ k−1. For this sequence some convergence proprieties are obtained.

The subjunctive mood in Late Middle English adverbial clauses: the interaction of form and function

This thesis focuses on the history of the inflexional subjunctive and its functional substitutes in Late Middle English. To explore why and how the inflexional subjunctive declined in the history of English language, I analysed 2653 examples of three adverbial clauses introduced by if (1882 examples), though (305 examples) and lest (466 examples). Using a corpus-based approach, this thesis argues that linguistic change in subjunctive constructions did not happen suddenly but rather gradually, and the way it changed was varied , and that different constructions changed at different speeds in different environments. It is well known that the inflexional subjunctive declined in the history of English, mainly because of inflexional loss. Strangely however this topic has been comparatively neglected in the scholarly literature, especially with regard to the Middle English period, probably due to the limitations of data and also because study of this development requires very cumbersome textual research. This thesis has derived and analysed the data from three large corpora in the public domain: the Middle English Grammar Corpus (MEG-C for short), the Innsbruck Computer Archive of Machine-Readable English Texts (ICAMET for short), and some selected texts from The Corpus of Middle English Prose and Verse, part of the Middle English Compendium that also includes the Middle English Dictionary. The data were analysed from three perspectives: 1) clausal type, 2) dialect, and 3) textual genre. The basic methodology for the research was to analyse the examples one by one, with special attention being paid to the peculiarities of each text. In addition, this thesis draw on some complementary – indeed overlapping -- linguistic theories for further discussion: 1) Biber’s multi-dimensional theory, 2) Ogura and Wang’s (1994) S-curve or ‘diffusion’ theory, 3) Kretzchmar’s (2009) linguistics of speech, and 4) Halliday’s (1987) notion of language as a dynamic open system. To summarise the outcomes of this thesis: 1) On variation between clausal types, it was shown that the distributional tendencies of verb types (sub, ind, mod) are different between the three adverbial clauses under consideration. 2) On variation between dialects, it has been shown that the northern area, i.e. the so-called Great Scandinavian Belt, displays an especially high comparative ratio of the inflexional subjunctive construction compared to the other areas. This thesis suggests that this result was caused by the influence of Norse, relating the finding to the argument of Samuels (1989) that the present tense -es ending in the northern dialect was introduced by the influence of the Scandinavians. 3) On variation between genres, those labelled Science, Documents and Religion display relatively high ratio of the inflexional subjunctive, while Letter, Romance and History show relatively low ratio of the inflexional subjunctive. This results are explained by Biber’s multi-dimensional theory, which shows that the inflexional subjunctive can be related to the factors ‘informational’, ‘non-narrative’, ‘persuasive’ and ‘abstract’. 4) Lastly, on the inflexional subjunctive in Late Middle English, this thesis concludes that 1) the change did not happen suddenly but gradually, and 2) the way language changes varies. Thus the inflexional subjunctive did not disappear suddenly from England, and there was a time lag among the clausal types, dialects and genres, which can be related to Ogura and Wang’s S-curve (“diffusion”) theory and Kretzchmars’s view of “linguistic continuum”. This thesis has shown that the issues with regard to the inflexional subjunctive are quite complex, so that research in this area requires not only textual analysis but also theoretical analysis, considering both intra- and extra- linguistic factors.

Chiral-symmetry Breaking and Pion Structure in the Covariant Spectator Theory

We introduce a covariant approach in Minkowski space for the description of quarks and mesons that exhibits both chiral-symmetry breaking and confinement. In a simple model for the interquark interaction, the quark mass function is obtained and used in the calculation of the pion form factor. We study the effects of the mass function and the different quark pole contributions on the pion form factor.

On the effect of confounding in linear regression models: an approach based on the theory of quadratic forms

The main topic of this thesis is confounding in linear regression models. It arises when a relationship between an observed process, the covariate, and an outcome process, the response, is influenced by an unmeasured process, the confounder, associated with both. Consequently, the estimators for the regression coefficients of the measured covariates might be severely biased, less efficient and characterized by misleading interpretations. Confounding is an issue when the primary target of the work is the estimation of the regression parameters. The central point of the dissertation is the evaluation of the sampling properties of parameter estimators. This work aims to extend the spatial confounding framework to general structured settings and to understand the behaviour of confounding as a function of the data generating process structure parameters in several scenarios focusing on the joint covariate-confounder structure. In line with the spatial statistics literature, our purpose is to quantify the sampling properties of the regression coefficient estimators and, in turn, to identify the most prominent quantities depending on the generative mechanism impacting confounding. Once the sampling properties of the estimator conditionally on the covariate process are derived as ratios of dependent quadratic forms in Gaussian random variables, we provide an analytic expression of the marginal sampling properties of the estimator using Carlson’s R function. Additionally, we propose a representative quantity for the magnitude of confounding as a proxy of the bias, its first-order Laplace approximation. To conclude, we work under several frameworks considering spatial and temporal data with specific assumptions regarding the covariance and cross-covariance functions used to generate the processes involved. This study allows us to claim that the variability of the confounder-covariate interaction and of the covariate plays the most relevant role in determining the principal marker of the magnitude of confounding.

Potential theory on metric spaces

This work revolves around potential theory in metric spaces, focusing on applications of dyadic potential theory to general problems associated to functional analysis and harmonic analysis. In the first part of this work we consider the weighted dual dyadic Hardy's inequality over dyadic trees and we use the Bellman function method to characterize the weights for which the inequality holds, and find the optimal constant for which our statement holds. We also show that our Bellman function is the solution to a stochastic optimal control problem. In the second part of this work we consider the problem of quasi-additivity formulas for the Riesz capacity in metric spaces and we prove formulas of quasi-additivity in the setting of the tree boundaries and in the setting of Ahlfors-regular spaces. We also consider a proper Harmonic extension to one additional variable of Riesz potentials of functions on a compact Ahlfors-regular space and we use our quasi-additivity formula to prove a result of tangential convergence of the harmonic extension of the Riesz potential up to an exceptional set of null measure