Dynamical Resonances and SSF Singularities for a Magnetic Schrödinger Operator

We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator H has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum. We perturb H by appropriate scalar potentials V and investigate the transformation of these embedded eigenvalues into resonances. First, we assume that the electric potentials are dilation-analytic with respect to the variable along the magnetic field, and obtain an asymptotic expansion of the resonances as the coupling constant ϰ of the perturbation tends to zero. Further, under the assumption that the Fermi Golden Rule holds true, we deduce estimates for the time evolution of the resonance states with and without analyticity assumptions; in the second case we obtain these results as a corollary of suitable Mourre estimates and a recent article of Cattaneo, Graf and Hunziker [11]. Next, we describe sets of perturbations V for which the Fermi Golden Rule is valid at each embedded eigenvalue of H; these sets turn out to be dense in various suitable topologies. Finally, we assume that V decays fast enough at infinity and is of definite sign, introduce the Krein spectral shift function for the operator pair (H+V, H), and study its singularities at the energies which coincide with eigenvalues of infinite multiplicity of the unperturbed operator H.

Alterações de equilíbrio postural e qualidade de vida em mulheres no ciclo gravídico puerperal

INTRODUCTION: The pregnancy and childbirth cause many changes in a woman's life, whether physical, hormonal, emotional or social. Such changes may affect the postural balance and the quality of life of women in pregnancy and may persist after delivery. To analyze changes in postural balance and quality of life in women in pregnancy and postpartum. METHODS: This study consisted of 47 women participants of the Course for Pregnant Women of the Department of Physical Therapy at UFRN, evaluated during pregnancy (2° or 3° trimester) and in the period 1-8 months postpartum. In all participants was evaluated the postural balance, the Balance Master® in five specific tests: (1) Modified Clinical Test of Sensory Interaction on Balance-MCTSIB; (2) Rhythmic Weight Shift Test - RWS (3) unilateral stance - US, (4) Sit to Stand - STS, and (5) Walk Across - WA. The quality of life (QoL) was assessed by applying the Quality Score of life Ferrans & Powers (IQVFP), both during pregnancy and in the postpartum period. For statistical analysis we used the Statistical Package for Social Sciences software for Personal Computer- SPSS (version 20.0), applying the tests: Shapiro-Wilk to assess the normality of the data; Chi-square to analyze the frequency of postural balance changes in the two groups of pregnancy and postpartum in both groups; McNemar test to analyze balance disorders frequency of related samples in the two time points; to compare the behavior of postural balance during pregnancy and postpartum, and to compare the QoL between the periods, we used the Wilcoxon test; and yet, the MannWhitney test to compare the QoL scores in the two groups of pregnancy and postpartum in both groups. We adopted p-value <0.05. RESULTS: Comparing the postural balance during pregnancy and postpartum in MSTSIB test has statistical difference in unstable surface with closed eyes (p=0.001) and in the US test, the speed of oscillation with right leg with eyes closed (p=0,03). Quality of life, there was statistical difference between the scores only among postpartum groups, the family domain (p=0.03); and to comparing pregnancy and postpartum in domain health and operation (p=0.02) and the Socioeconomic domain (p=0.01). CONCLUSIONS: It was observed that the balance changes present during pregnancy persist postpartum, and the quality of life is considered good by women, both during pregnancy and postpartum.

Estimação e previsão no processo INARCH(2)

In the last decades the study of integer-valued time series has gained notoriety due to its broad applicability (modeling the number of car accidents in a given highway, or the number of people infected by a virus are two examples). One of the main interests of this area of study is to make forecasts, and for this reason it is very important to propose methods to make such forecasts, which consist of nonnegative integer values, due to the discrete nature of the data. In this work, we focus on the study and proposal of forecasts one, two and h steps ahead for integer-valued second-order autoregressive conditional heteroskedasticity processes [INARCH (2)], and in determining some theoretical properties of this model, such as the ordinary moments of its marginal distribution and the asymptotic distribution of its conditional least squares estimators. In addition, we study, via Monte Carlo simulation, the behavior of the estimators for the parameters of INARCH(2) processes obtained using three di erent methods (Yule- Walker, conditional least squares, and conditional maximum likelihood), in terms of mean squared error, mean absolute error and bias. We present some forecast proposals for INARCH(2) processes, which are compared again via Monte Carlo simulation. As an application of this proposed theory, we model a dataset related to the number of live male births of mothers living at Riachuelo city, in the state of Rio Grande do Norte, Brazil.

Estimação e previsão no processo INARCH(2)

In the last decades the study of integer-valued time series has gained notoriety due to its broad applicability (modeling the number of car accidents in a given highway, or the number of people infected by a virus are two examples). One of the main interests of this area of study is to make forecasts, and for this reason it is very important to propose methods to make such forecasts, which consist of nonnegative integer values, due to the discrete nature of the data. In this work, we focus on the study and proposal of forecasts one, two and h steps ahead for integer-valued second-order autoregressive conditional heteroskedasticity processes [INARCH (2)], and in determining some theoretical properties of this model, such as the ordinary moments of its marginal distribution and the asymptotic distribution of its conditional least squares estimators. In addition, we study, via Monte Carlo simulation, the behavior of the estimators for the parameters of INARCH(2) processes obtained using three di erent methods (Yule- Walker, conditional least squares, and conditional maximum likelihood), in terms of mean squared error, mean absolute error and bias. We present some forecast proposals for INARCH(2) processes, which are compared again via Monte Carlo simulation. As an application of this proposed theory, we model a dataset related to the number of live male births of mothers living at Riachuelo city, in the state of Rio Grande do Norte, Brazil.

Soliton based DPSK encoded sequences:stability and dynamical properties

We study the dynamical properties of the RZ-DPSK encoded sequences of bits, focusing on the instabilities in the train leading to the bit stream corruption. The problem is studied within the framework of the complex Toda chain model for optical solitons. We show how the bit composition of the pattern affects the initial stage of the train dynamics and explain the general mechanisms of the appearance of unstable collective soliton modes. Then we discuss the nonlinear regime using the asymptotic properties of the pulse stream at large propagation distances and analyze the dynamical behavior of the train elucidating different scenarios for the pattern instabilities. ©2010 Crown.

Essays on Microeconometrics

My dissertation has three chapters which develop and apply microeconometric tech- niques to empirically relevant problems. All the chapters examines the robustness issues (e.g., measurement error and model misspecification) in the econometric anal- ysis. The first chapter studies the identifying power of an instrumental variable in the nonparametric heterogeneous treatment effect framework when a binary treat- ment variable is mismeasured and endogenous. I characterize the sharp identified set for the local average treatment effect under the following two assumptions: (1) the exclusion restriction of an instrument and (2) deterministic monotonicity of the true treatment variable in the instrument. The identification strategy allows for general measurement error. Notably, (i) the measurement error is nonclassical, (ii) it can be endogenous, and (iii) no assumptions are imposed on the marginal distribution of the measurement error, so that I do not need to assume the accuracy of the measure- ment. Based on the partial identification result, I provide a consistent confidence interval for the local average treatment effect with uniformly valid size control. I also show that the identification strategy can incorporate repeated measurements to narrow the identified set, even if the repeated measurements themselves are endoge- nous. Using the the National Longitudinal Study of the High School Class of 1972, I demonstrate that my new methodology can produce nontrivial bounds for the return to college attendance when attendance is mismeasured and endogenous.

The second chapter, which is a part of a coauthored project with Federico Bugni, considers the problem of inference in dynamic discrete choice problems when the structural model is locally misspecified. We consider two popular classes of estimators for dynamic discrete choice models: K-step maximum likelihood estimators (K-ML) and K-step minimum distance estimators (K-MD), where K denotes the number of policy iterations employed in the estimation problem. These estimator classes include popular estimators such as Rust (1987)’s nested fixed point estimator, Hotz and Miller (1993)’s conditional choice probability estimator, Aguirregabiria and Mira (2002)’s nested algorithm estimator, and Pesendorfer and Schmidt-Dengler (2008)’s least squares estimator. We derive and compare the asymptotic distributions of K- ML and K-MD estimators when the model is arbitrarily locally misspecified and we obtain three main results. In the absence of misspecification, Aguirregabiria and Mira (2002) show that all K-ML estimators are asymptotically equivalent regardless of the choice of K. Our first result shows that this finding extends to a locally misspecified model, regardless of the degree of local misspecification. As a second result, we show that an analogous result holds for all K-MD estimators, i.e., all K- MD estimator are asymptotically equivalent regardless of the choice of K. Our third and final result is to compare K-MD and K-ML estimators in terms of asymptotic mean squared error. Under local misspecification, the optimally weighted K-MD estimator depends on the unknown asymptotic bias and is no longer feasible. In turn, feasible K-MD estimators could have an asymptotic mean squared error that is higher or lower than that of the K-ML estimators. To demonstrate the relevance of our asymptotic analysis, we illustrate our findings using in a simulation exercise based on a misspecified version of Rust (1987) bus engine problem.

The last chapter investigates the causal effect of the Omnibus Budget Reconcil- iation Act of 1993, which caused the biggest change to the EITC in its history, on unemployment and labor force participation among single mothers. Unemployment and labor force participation are difficult to define for a few reasons, for example, be- cause of marginally attached workers. Instead of searching for the unique definition for each of these two concepts, this chapter bounds unemployment and labor force participation by observable variables and, as a result, considers various competing definitions of these two concepts simultaneously. This bounding strategy leads to partial identification of the treatment effect. The inference results depend on the construction of the bounds, but they imply positive effect on labor force participa- tion and negligible effect on unemployment. The results imply that the difference- in-difference result based on the BLS definition of unemployment can be misleading

due to misclassification of unemployment.

Secure 5G Wireless Communications: A Joint Relay Selection and Wireless Power Transfer Approach

In this paper, we investigate the secrecy performance of an energy harvesting relay system, where a legitimate source communicates with a legitimate destination via the assistance of multiple trusted relays. In the considered system, the source and relays deploy the time-switching-based radio frequency energy harvesting technique to harvest energy from a multi-antenna beacon. Different antenna selection and relay selection schemes are applied to enhance the security of the system. Specifically, two relay selection schemes based on the partial and full knowledge of channel state information, i.e., optimal relay selection and partial relay selection, and two antenna selection schemes for harvesting energy at source and relays, i.e., maximizing energy harvesting channel for the source and maximizing energy harvesting channel for the selected relay, are proposed. The exact and asymptotic expressions of secrecy outage probability in these schemes are derived. We demonstrate that applying relay selection approaches in the considered energy harvesting system can enhance the security performance. In particular, optimal relay selection scheme outperforms partial relay selection scheme and achieves full secrecy diversity order, regardless of energy harvesting scenarios.

Secure Full-Duplex Small-Cell Networks in a Spectrum Sharing Environment

In this paper, we propose three relay selection schemes for full-duplex heterogeneous networks in the presence of multiple cognitive radio eavesdroppers. In this setup, the cognitive small-cell nodes (secondary network) can share the spectrum licensed to the macro-cell system (primary network) on the condition that the quality-of-service of the primary network is always satisfied subjected to its outage probability constraint. The messages are delivered from one small-cell base station to the destination with the help of full-duplex small-cell base stations, which act as relay nodes. Based on the availability of the network’s channel state information at the secondary information source, three different selection criteria for full-duplex relays, namely: 1) partial relay selection; 2) optimal relay selection; and 3) minimal self-interference relay selection, are proposed. We derive the exact closed-form and asymptotic expressions of the secrecy outage probability for the three criteria under the attack of non-colluding/colluding eavesdroppers. We demonstrate that the optimal relay selection scheme outperforms the partial relay selection and minimal self-interference relay selection schemes at the expense of acquiring full channel state information knowledge. In addition, increasing the number of the full-duplex small-cell base stations can improve the security performance. At the illegitimate side, deploying colluding eavesdroppers and increasing the number of eavesdroppers put the confidential information at a greater risk. Besides, the transmit power and the desire outage probability of the primary network have great influences on the secrecy outage probability of the secondary network. 

Massive MIMO in sparse channels

Massive multi-user multiple-input multiple-output (MU-MIMO) systems are cellular networks where the base stations (BSs) are equipped with hundreds of antennas, N, and communicate with tens of mobile stations (MSs), K, such that, N ≫ K ≫ 1. Contrary to most prior works, in this paper, we consider the uplink of a single-cell massive MIMO system operating in sparse channels with limited scattering. This case is of particular importance in most propagation scenarios, where the prevalent Rayleigh fading assumption becomes idealistic. We derive analytical approximations for the achievable rates of maximum-ratio combining (MRC) and zero-forcing (ZF) receivers. Furthermore, we study the asymptotic behavior of the achievable rates for both MRC and ZF receivers, when N and K go to infinity under the condition that N/K → c ≥ 1. Our results indicate that the achievable rate of MRC receivers reaches an asymptotic saturation limit, whereas the achievable rate of ZF receivers grows logarithmically with the number of MSs.

Análisis de onda completa por el método de los momentos de estructuras microtiras eléctricamente grandes

[EN]In this paper we will present a comparison between numerical and asymptotic evaluation of Sommerfeld kind integrals when working with real microstrip problems. We have focused our atention in the time required for both methods. Asymptotic methods are less time consuming than numerical ones, but when you have to compare the time involved in the computation of the Green's function with the time required to fill the MoM matrix, the former is very little in front of the latter.

Musicalidades Quotidianas da Personalidade: estudo sobre o impacto da música na personalidade, comportamentos, emoções e quotidiano de jovens e adultos de língua portuguesa

Objetivos: A música, incomum pela sua ubiquidade e antiguidade, constitui uma das atividades humanas que ocupa um lugar significativo nas diversas culturas e vida diária. Geralmente agradável para grande parte das pessoas, produz numerosos e desmedidos efeitos, na sua maioria positivos para o ser humano. Esta investigação teve como objetivo principal estudar a relação entre alguns dos diferentes géneros musicais e os de traços de personalidade de jovens e de adultos com idades compreendidas entre os 18 e os 38 anos, fluentes em português. A investigação pretendeu descrever as preferências musicais em função da idade, género, estado civil e habilitações literárias; identificar os contextos, os períodos e as atividades mais comuns durante a escuta de música; reconhecer se a música é uma das atividades de lazer mais importantes para o grupo estudado; conhecer quais as razões mais frequentes apontadas pelos sujeitos para ouvir música; estudar a perceção que as pessoas têm sobre a influência da música na violência e no consumo de substâncias; verificar se os sujeitos consideram as preferências musicais como um fator importante e revelador de informações sobre a personalidade; avaliar o impacto e relação das preferências musicais com a personalidade e verificar quais os pares de emoções mais comuns, sentidos durante a escuta musical, e respetiva intensidade. Metodologia: A amostra foi constituída por 320 indivíduos com idades compreendidas entre os 18 e os 38 anos sendo a faixa etária mais comum a que se situa entre os 24 a 29 anos, maioritariamente do sexo feminino, solteiros, de nacionalidade portuguesa, detentores ou a frequentar um curso superior, nas áreas das ciências sociais/serviços ou exatas e tecnológicas. Os participantes aceitaram responder voluntariamente a uma bateria de testes (QCS, EPI, QMQEC e STOMP-PT). Para a caracterização da amostra, determinaram-se frequências absolutas e relativas ou valores médios e desvios-padrão. A normalidade da distribuição das pontuações médias dos instrumentos foi validada com o teste de Kolmogorov-Smirnov com correção de Lilliefors. A consistência interna estudou-se através do Alpha de Cronbach e da fórmula de Kuder Richarson. As diferenças entre grupos foram avaliadas recorrendo a uma ANOVA, a intensidade e magnitude das relações entre variáveis determinou-se através do coeficiente Eta quadrado (e 2) e com o coeficiente de correlação de Pearson avaliou-se a associação entre as variáveis em estudo. Resultados: Observou-se que a música energética é a mais típica dos escalões etários mais jovens, sendo que a rebelde trespassa todas as gerações, revelando os mais velhos também uma forte preferência pela música reflexiva. As escolhas musicais parecem não ser influenciadas pelo sexo e estado civil. Os indivíduos menos escolarizados parecem preferir músicas do tipo energético, excluindo as convencionais enquanto os detentores de maiores habilitações preferem os estilos reflexivos e rebeldes. É em casa, no quarto, ao fim de semana e quando estão sozinhos que os participantes mais ouvem música, constituindo esta a mais frequente atividade de lazer, por ser uma atividade essencial para a existência, não apelando à violência e ao consumo de substâncias e revelando as preferências musicais aspetos da personalidade. Encontraram-se diferenças estatisticamente significativas entre as dimensões da preferência musical e os traços de personalidade, sendo a música energética a que mais se destaca na extroversão e a rebelde no neuroticismo. Não se obtiveram resultados estatisticamente significativos entre os tipos de música e as emoções. Conclusão: Os resultados devem ser vistos a título de ensaio e como introdutórios, seguindo no entanto os referidos na literatura quer ao nível das preferências por idade, sexo e habilitações literárias, quer ao nível do contexto onde é ouvida, quer ainda entre as dimensões de preferência musical e traços de personalidade. / Aims: Music, unusual for its ubiquity and age, is one of the human activities that occupies a significant place in different cultures and daily life. Generally pleasant to most people, produces many and huge positive effects in humans. This investigation aimed to study the relationship between some of the different music preferences and personality types of young and adults aged between 18 and 38 years, fluent in Portuguese. The research intended to describe the musical preferences based on age, gender, marital status and educational attainment; identify contexts, periods and the most common activities during music listening; recognize the music as one of the most important leisure activities for the group studied; know which are the most frequent reasons given by the subjects to listen to music; study the perception that people have about the influence of music on violence and substance use; check whether the subjects consider the musical preferences as a major factor that reveals information about personality; assess the impact and relationship of musical preferences with the personality and see which pairs of most common emotions are felt during music listening, and its respective intensity. Methods: The sample consisted of 320 individuals aged between 18 and 38 years being the most common age group of between 24 to 29 years, mostly female, single, Portuguese, holders or to attend a higher education in the areas of social / services or exact science. Participants voluntarily agreed to answer a battery of tests (QCS, EPI, QMQEC and STOMP-PT). To characterize the sample, they were determined absolute and relative frequencies and mean values and standard deviations. The normality of the average scores of the instruments has been validated with the Kolmogorov-Smirnov test with Lilliefors correction. Internal consistency was studied using Cronbach's alpha and Kuder Richardson formula. Differences between groups were assessed using an ANOVA, intensity and magnitude of the relationship between variables was determined by Eta squared coefficient and the Pearson correlation coefficient evaluated the association between the study variables. Results: It was observed that the energetic music is the most usual among the younger age groups, and the rebel pierces all generations, revealing the older ones a strong preference for reflective music. The musical choices do not seem to be influenced by sex and marital status. The less educated individuals seems to prefer the energetic type songs, excluding conventional, holders of higher qualifications prefer reflective and rebellious styles. It is at home, in the room, on the weekends and when they are alone that participants listen more music, making this the most common leisure activity, the essential for existence, not calling for violence and substance use and revealing aspects of personality. We found significant differences between the dimensions of music preferences and personality traits, with the energetic music standing out in extraversion and neuroticism on rebel. We did not get significant results among the types of music and emotions. Conclusions: The results should be viewed under test and has introductory , however following the reported in the literature both in terms of preferences by age, sex and education level , both in terms of the context in which it is heard, still follows music preference dimensions and personality traits .

Large Rayleigh number thermal convection: heat flux predictions and strongly nonlinear solutions

We investigate the structure of strongly nonlinear Rayleigh–Bénard convection cells in the asymptotic limit of large Rayleigh number and fixed, moderate Prandtl number. Unlike the flows analyzed in prior theoretical studies of infinite Prandtl number convection, our cellular solutions exhibit dynamically inviscid constant-vorticity cores. By solving an integral equation for the cell-edge temperature distribution, we are able to predict, as a function of cell aspect ratio, the value of the core vorticity, details of the flow within the thin boundary layers and rising/falling plumes adjacent to the edges of the convection cell, and, in particular, the bulk heat flux through the layer. The results of our asymptotic analysis are corroborated using full pseudospectral numerical simulations and confirm that the heat flux is maximized for convection cells that are roughly square in cross section.

Body composition by dual X-ray absorptiometry in Mexican schoolchildren with or without obesity

Objective: Apply dual X-ray absorptiometry (DXA) to determine the amount of fat mass, lean mass, and bone mineral density in Mexican schoolchildren with and without obesity. Material and methods: We performed an observational, analytical, comparative, cross-sectional study of 80 Mexican schoolchildren who attended the Nutrition Clinic of the Pediatric Medical Center in Monterrey, Mexico during the period of January to April 2005. Body mass index (BMI) was determined to classify the participants according to the growth charts of the Centers for Disease Control and Prevention. Two groups of 40 children each (with and without obesity) were formed and DXA was carried out on each individual. Cronbach’s Alpha was used to determine instrument reliability and the Kolmogorov-Smirnov test was used to test the normality of numerical variables. Means were compared using Student´s t test. Results: Statistically signiicant differences were found in fat mass (p≤0.001) and lean mass (p≤0.001), but not in bone mineral content (p=0.051) between both groups. Conclusions: Differences exist in fat mass and lean mass in both groups, but not in bone mineral content between both groups. A signiicant positive correlation was found between fat mass, determined by DXA, and BMI in schoolchildren with and without obesity

Eficacia de la infiltración de Plasma Rico en Plaquetas (PRP) en pacientes diagnosticados del Síndrome de la Fascia Plantar (SFP) desde el punto de vista clínico y funcional

On the basis of the knowledge that the entheses between the plantar fascia and the calcaneus may exhibit a varied pathology, we considered the need to value the pathological factors by illustrating the anatomical changes in the Plantar Fascia Syndrome (PFS) with easy-to-obtain images which allowed us to substantiate our claims. Accordingly, we analized the anatomical (Orts Llorca, 1977; Llusá, 2007; Sobotta, 2007; Domenech Mateu, 2012; Rodriguez Baeza 2012) and biomechanical (Arandes, 1956; Viladot 1979; Caturla, 2001; Safe, 2001) literature in order to better know the location of the pathology and also to assess the functional reasons that could favor this disease. A study of the affected area by Nuclear Magnetic Resonance (NMR) revealed the presence of bone affections such as bone edema, subchondral lesions and several other bone pathologies together with fascia intrinsic injuries such as myxoid degeneration, intrasubstance fissures and perifascial edematous lesions (Larroca, 2013; Conejero, 2014). Injuries not properly treated during the acute phase can evolve into chronic processes which, month after month, become ever more difficult to resolve. In addition, as seen throughout this study, there are changes in the anatomical normality of the foot usually associated with pathological conditions of the plantar fascia. Once the pathological aspects of PFS are identified and their location is established, clinical manifestations should be registered in order to define this syndrome. Pain is the main symptom in patients with PFS and is associated, in many occasions, with tightness or stiffness of the plantar area, limited mobility of the arch of the ankle and, inevitably, a progressive functional deterioration. Thus, that sharp and stabbing pain felt when one puts the foot on the floor after a period of rest located in the front lower face of the heel and irradiating and/or projecting to the middle of the sole of the foot would be synonymous with Plantar Fascia Syndrome (PFS)...

Imagery : correlação entre o motor imagery e as habilidades técnicas de condução de bola no futebol

Dissertação apresentada à Escola Superior de Educação do Instituto Politécnico de Castelo Branco para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Atividade Física.