Ma recherche se situe dans le cadre de l'analyse harmonique et fonctionnelle avec des applications en théorie du contrôle. Le fil conducteur de mes travaux est le calcul fonctionnel ainsi que les estimations de fonctions carrées associées. Mes travaux concernent les thèmes ci-dessous : a) calcul fonctionnel H1 et estimations de fonctions carrées, b) applications des estimations de fonctions carrées au probl eme de Cauchy stochastique, c) résultats de perturbation pour des opérateurs (R) sectoriels, d) admissibilité et observabilité d'opérateurs de contrôle et d'observation, e) applications aux equations non-autonomes ou non-linéaires, en particulier aux équations de type Volterra et aux équations de Navier-Stokes, f) liens entre la théorie du contrôle et les mesures de Carleson.

Nous nous intéressons dans cette thèse à la théorie cinétique et aux systèmes de particules dans le cadre des équations de Boltzmann et Landau. Premièrement, nous étudions la dérivation des équations cinétiques comme des limites de champ moyen des systèmes de particules, en utilisant le concept de propagation du chaos. Plus précisément, nous étudions les probabilités chaotiques sur l'espace de phase de ces systèmes de particules : la sphère de Boltzmann, qui correspond à l'espace de phase d'un système de particules qui évolue conservant le moment et l'énergie ; et la sphère de Kac, correspondant à un système de particules qui conserve seulement l'énergie. Ensuite, nous nous intéressons à la propagation du chaos, avec des estimations quantitatives et uniforme en temps, pour les équations de Boltzmann et Landau. Deuxièmement, nous étudions le comportement asymptotique en temps grand des solutions de l'équation de Landau.

Algebraic Quantum Field Theory (AQFT) is a mathematically rigorous framework that was developed to model the interaction of quantum mechanics and relativity. In AQFT, quantum mechanics is modelled by C*-algebras of observables and relativity is usually modelled in Minkowski space. In this thesis we will consider a generalization of AQFT which was inspired by the work of Abramsky and Coecke on abstract quantum mechanics [1, 2]. In their work, Abramsky and Coecke develop a categorical framework that captures many of the essential features of finite-dimensional quantum mechanics. In our setting we develop a categorified version of AQFT, which we call premonoidal C*-quantum field theory, and in the process we establish many analogues of classical results from AQFT. Along the way we also exhibit a number of new concepts, such as a von Neumann category, and prove several properties they possess. We also establish some results that could lead to proving a premonoidal version of the classical Doplicher-Roberts theorem, and conjecture a possible solution to constructing a fibre-functor. Lastly we look at two variations on AQFT in which a causal order on double cones in Minkowski space is considered.

Made available in DSpace on 2016-03-15T19:40:19Z (GMT). No. of bitstreams: 1 Stephanny Maria Rampazo.pdf: 1203090 bytes, checksum: 35e6ca9b23021e367117e2c29b576f87 (MD5) Previous issue date: 2015-02-09 / The diagnosis of Autism Spectrum Disorder (ASD) is oriented to people with losses in areas such as communication and social interaction and by the presence of repetitive stereotyped behaviors. It is a clinical diagnosis which follows standard protocols of indirect evaluation and clinical observation (direct evaluation) in order to track signals and symptoms within the 3 areas mentioned previously and having stereotyped behaviors as a clinical indicator of this evaluation. Amongst these indicators, motors stereotypes are usually observed in people with ASD, however, there are a few Brazilian researches that consider broad clinical diversity evaluation as well as its functions, once its tools and common scales explore partially this symptomatology. The objective of this study is to show the registered results of motors stereotypes of people with ASD and discuss about possible ways of stereotypes evaluation regarding its functions and presentation. The sample was built with 22 children (age varying from 3 to 12 years old) diagnosed by Unidade de Referência em Autismo Prof° Marcos Tomanik Mercadante Irmandade Santa Casa de Misericórdia de São Paulo with ASD. The stereotype´s evaluations were based on direct and indirect behavior and tracking of ADS from data base tools: a) Brazilian version of The Behavior Problems Inventory-BPI-01; b) Brazilian version of Autism Behavior Checklist - ABC; c) Video register of Stereotypes Evaluation (RAEV). d) Experimental Functional Evaluation of Stereotype. A descriptive analysis was conducted on a case by case basis with non parametric tests and correlation with the used tools. The main conclusions of this study were: 1) the three methods of assessment, recorded the stereotypies in different relative proportions: 12 behaviors that indicate motor stereotypes at ABC were recorded in varying number of subjects in the sample (only one individual did not score), and the record of percentage relative to the total possible was 43.8%. All subjects scored at BPI-01 at least one of the 24 behaviors recorded, and the record of percentage out of the total possible was 67.4%. The direct evaluation was able to register 79 behaviors considered motor stereotypes, and therefore it was considered more effective than other methods; 2) the comparison between ABC and BPI-01 shows similar behaviors, but with slightly different questions, which led to different answers. These two questionnaires are easy to apply, the use of both is recommended because they are complementary to the registration of stereotypies. No difference was found when six similar ABC and BPI-01 records were compared; 3) You can identify the function of stereotyping for each individual from an experimental functional analysis with only a 30 minute session, divided into three situations with 10 minutes each: on demand situation (the children are requested to perform a task); attention situation (the child is praised when showing stereotypes); alone situation (free observation); 4) stereotyping may have multiple functions, i.e., stereotyped behavior can begin with a self-stimulation function, maintained by automatic reinforcement, but it can vary and serve other functions, such as obtaining social attention; 5) evaluating the function of stereotyping rather than the simple topographical record enables different, more detailed and meticulous interventions. / O Diagnóstico de Transtorno do Espectro Autista (TEA) é designado às pessoas com prejuízos nas áreas de comunicação, interação social e pela presença de comportamentos repetitivos e estereotipados. Seu diagnóstico é clinico e a avaliação é realizada a partir de protocolos padronizados de avaliação indireta e de observação clínica (avaliação direta), a fim de rastrear sinais e sintomas dentro das três áreas citadas, sendo um dos indicadores clínicos nessa avaliação, os comportamentos estereotipados. Dentre eles, nas pessoas com TEA, as estereotipias motoras comumente são manifestadas, porém existem poucas pesquisas brasileiras que contemplam avaliações que abranjam sua diversidade clínica, bem como sua função, já que os instrumentos e escalas usuais exploram de maneira parcial essa sintomatologia. O objetivo desse estudo é demonstrar os resultados do registro de estereotipias motoras em pessoas com TEA e discutir sobre as possíveis formas de avaliação de estereotipias, em relação à sua topografia e à sua função. A amostra foi constituída por 22 crianças com diagnóstico de TEA pela Unidade de Referência em Autismo Prof° Marcos Tomanik Mercadante Irmandade Santa Casa de Misericórdia de São Paulo, com idade entre 3 e 12 anos. As formas de avaliação das estereotipias se deram por avaliação comportamental direta e indireta e de rastreamento de TEA, a partir de instrumentos de coleta de dados: a) Versão Brasileira do Inventário de Problemas de Comportamentais (The Behavior Problems Inventory-BPI-01); b) Autism Behavior Checklist - ABC; c) Registro de Avaliação de Estereotipias por Vídeo (RAEV). d) Análise Funcional de estereotipia. Foi realizada análise descritiva da casuística, com testes não paramétricos e correlação entre os instrumentos utilizados. As principais conclusões deste estudo foram: 1) os três métodos de avaliação, registraram as estereotipias em proporções relativas diferentes: os 12 comportamentos que indicam estereotipias motoras no ABC foram registrados em número variados de sujeitos da amostra (apenas um indivíduo não pontuou), sendo que o percentual de registro em relação ao total possível foi de 43,8%. No BPI-01 todos os sujeitos pontuaram em pelo menos um dos 24 comportamentos registrados, sendo o percentual de registro em relação ao total possível de 67,4%. Já a avaliação direta foi capaz de registrar 79 comportamentos considerados estereotipias motoras, sendo, portanto mais eficaz que os demais métodos; 2) a comparação entre o ABC e o BPI-01 mostra que comportamentos similares, mas com perguntas ligeiramente diferentes levam a respostas diversas. Como são dois questionários de fácil aplicação, recomenda-se a utilização de ambos, pois são complementares para o registro das estereotipias. A comparação entre o registro no ABC e BPI-01 entre seis comportamentos cuja redação é muito semelhante não mostrou diferença; 3) é possível obter a função da estereotipia para cada indivíduo a partir de uma análise funcional com apenas uma sessão de 30 minutos, dividida em 3 situações de 10 minutos: demanda (solicita-se que a crianças execute uma tarefa); atenção (elogia-se quando a criança exibe a estereotipia); sozinho (observação livre); 4) uma estereotipia pode ter múltiplas funções, ou seja, um comportamento estereotipado pode iniciar por uma função de auto-estimulação, mantida por reforçamento automático, mas pode variar de função e adquirir outras funções simultâneas, como a obtenção de atenção social; 5) avaliar a função da estereotipia ao invés do simples registro topográfico possibilita intervenções diferentes, mais detalhadas e minuciosas.

Abstract The dissertation considers a degree theory and the index of a critical point of demi-continuous, everywhere defined mappings of the monotone type. A topological degree is derived for mappings from a Banach space to its dual space. The mappings satisfy the condition (S+), and it is shown that the derived degree has the classical properties of a degree function. A formula for the calculation of the index of a critical point of a mapping A : X→X* satisfying the condition (S+) is derived without the separability of X and the boundedness of A. For the calculation of the index, we need an everywhere defined linear mapping A' : X→X* that approximates A in a certain set. As in the earlier results, A' is quasi-monotone, but our situation differs from the earlier results because A' does not have to be the Frechet or Gateaux derivative of A at the critical point. The theorem for the calculation of the index requires a construction of a compact operator T = (A' + Γ)-1Γ with the aid of linear mappings Γ : X→X and A'. In earlier results, Γ is compact, but here it need only be quasi-monotone. Two counter-examples show that certain assumptions are essential for the calculation of the index of a critical point.

Les progrès continus dans les techniques du stockage et de la collection des données permettent d'observer et d'enregistrer des processus d’une façon presque continue. Des exemples incluent des données climatiques, des valeurs de transactions financières, des modèles des niveaux de pollution, etc. Pour analyser ces processus, nous avons besoin des outils statistiques appropriés. Une technique très connue est l'analyse de données fonctionnelles (ADF).<p><p>L'objectif principal de ce projet de doctorat est d'analyser la dépendance temporelle de l’ADF. Cette dépendance se produit, par exemple, si les données sont constituées à partir d'un processus en temps continu qui a été découpé en segments, les jours par exemple. Nous sommes alors dans le cadre des séries temporelles fonctionnelles.<p><p>La première partie de la thèse concerne la régression linéaire fonctionnelle, une extension de la régression multivariée. Nous avons découvert une méthode, basé sur les données, pour choisir la dimension de l’estimateur. Contrairement aux résultats existants, cette méthode n’exige pas d'assomptions invérifiables. <p><p>Dans la deuxième partie, on analyse les modèles linéaires fonctionnels dynamiques (MLFD), afin d'étendre les modèles linéaires, déjà reconnu, dans un cadre de la dépendance temporelle. Nous obtenons des estimateurs et des tests statistiques par des méthodes d’analyse harmonique. Nous nous inspirons par des idées de Brillinger qui a étudié ces models dans un contexte d’espaces vectoriels. / Doctorat en Sciences / info:eu-repo/semantics/nonPublished

We investigate the biological constraints determined by the complex relationships between ecological and immunological processes of host-pathogen interactions, with emphasis on influenza viruses in human, which are responsible for a number of pandemics in the last 150 years. We begin by discussing prolegomenous reviews of historical perspectives on the use of theoretical modelling as a complementary tool in public health and epidemiology, current biological background motivating the objective of the thesis, and derivations of mathematical models of multi-locus-allele systems for infectious diseases with co-circulating serotypes. We provide detailed analysis of the multi-locus-allele model and its age-specific extension. In particular, we establish the necessary conditions for the local asymptotic stability of the steady states and the existence of oscillatory behaviours. For the age-structured model, results on the existence of a mild solution and stability conditions are presented. Numerical studies of various strain spaces show that the dynamic features are preserved. Specifically, we demonstrate that discrete antigenic forms of pathogens can exhibit three distinct dynamic features, where antigenic variants (i) fully self-organize and co-exist with no strain structure (NSS), (ii) sort themselves into discrete strain structure (DSS) with non-overlapping or minimally overlapping clusters under the principle of competitive exclusion, or (iii) exhibit cyclical strain structure (CSS) where dominant antigenic types are cyclically replaced with sharp epidemics dominated by (1) a single strain dominance with irregular emergence and re-emergence of certain pathogenic forms, (2) ordered alternating appearance of a single antigenic type in periodic or quasi-periodic form similar to periodic travelling waves, (3) erratic appearance and disappearance of synchrony between discrete antigenic types, and (4) phase-synchronization with uncorrelated amplitudes. These analyses allow us to gain insight into the age-specific immunological profile in order to untangle the effects of strain structures as captured by the clustering behaviours, and to provide public health implications. The age-structured model can be used to investigate the effect of age-specific targeting for public health purposes.

Algebraic Quantum Field Theory (AQFT) is a mathematically rigorous framework that was developed to model the interaction of quantum mechanics and relativity. In AQFT, quantum mechanics is modelled by C*-algebras of observables and relativity is usually modelled in Minkowski space. In this thesis we will consider a generalization of AQFT which was inspired by the work of Abramsky and Coecke on abstract quantum mechanics [1, 2]. In their work, Abramsky and Coecke develop a categorical framework that captures many of the essential features of finite-dimensional quantum mechanics. In our setting we develop a categorified version of AQFT, which we call premonoidal C*-quantum field theory, and in the process we establish many analogues of classical results from AQFT. Along the way we also exhibit a number of new concepts, such as a von Neumann category, and prove several properties they possess. We also establish some results that could lead to proving a premonoidal version of the classical Doplicher-Roberts theorem, and conjecture a possible solution to constructing a fibre-functor. Lastly we look at two variations on AQFT in which a causal order on double cones in Minkowski space is considered.

Following thesis focuses on analysis of using five basic transfer pricing methods mentioned in the OECD Transfer Pricing Guidelines in the conditions of the Czech Republic (comparable uncontrolled method, resale-price method, cost plus method, profit split method, transactional net margin method). There are mentioned the problems connected with application of these methods and also suggestions how to fix them. In this respect thesis contains comparable, functional and economic analysis. As a part of the thesis there is an example of the transfer pricing documentation using cost plus method. Next there are noted the ways and criteria of selecting an appropriate method. There are also solved some tax aspects of determining the transfer prices.

This master’s thesis deals with a problems of value management as a comprehensive innovative tool designed to enable the company to achieve competitiveness in all its activities, increase productivity and maximize progress towards the objectives set by using minimum resources. Describes the use of values-based approach and its methods, disciplines and application tools. The purpose of this master’s thesis is to establish a common basis for company management, which could successfully implement and apply the value management in practice.