Esta tese apresenta um estudo com base em zoneamentos de parâmetros geotécnicos provenientes de sondagens rotativas, realizadas no maciço basáltico, localizado na área das obras de Usina Hidrelétrica de Itaipu (Foz do Iguaçu - PR). Estes zoneamentos foram realizados a partir de interpolação dos dados por meio de krigagem ordinária e equações multiquádricas. Os dados provenientes de sondagens rotativas analisados nesta pesquisa são: Rock Quality Designation (RQD), grau de alteração, grau de consistência e grau de fraturamento. Os métodos de interpolação foram avaliados para o parâmetro de RQD, pois tais métodos apresentam características matemáticas similares, assim, foram comparadas interpolações realizadas com krigagem ordinária e equações multiquádricas, sendo comprovada a similaridade destes métodos com dados reais. Sendo assim, os demais parâmetros, por se caracterizarem como variáveis categóricas e, portanto, discretas, e apresentarem complexidade para realização da análise variográfica dos dados (semivariograma experimental e modelagem do semivariograma), foram interpolados apenas pelo método das equações multiquádricas. A validação dos dados interpolados foi realizada a partir de um estudo de caso relativo ao comportamento hidrogeotécnico do maciço rochoso, o qual é monitorado por piezômetros do tipo standpipe. Esta validação mostrou que os métodos utilizados para obter os zoneamentos e os parâmetros de modelagem considerados foram adequados, pois se verificou alta correlação entre as tendências de comportamento obtidas pelas interpolações dos parâmetros geotécnicos do maciço rochoso e o comportamento revelado pelo conjunto de piezômetros instalados no mesmo local. Este trabalho teve como etapa primordial o levantamento de dados históricos relativos às investigações geológico-geotécnicas da área das obras de Itaipu, a partir destes dados foi composto um mapa interativo de localização dos diferentes tipos de investigação realizados no substrato rochoso e terroso. Tal documento permite uma busca rápida e dinâmica das informações geotécnicas, pois apresenta como referência a própria planta da barragem de Itaipu. Cada ponto de investigação está vinculado ao perfil geotécnico. As investigações utilizadas neste mapa são: sondagem rotativa, sondagem à percussão (SPT), ensaio de cone (CPT) e poço manual. Sendo assim, o resgate das informações históricas obtidas nas campanhas de investigação geotécnica na área das obras de Itaipu, resultou na compilação dos dados de forma digital, em que foi elaborado um conjunto de planilhas com formato capaz de ser utilizado em diferentes Sistemas de Informação Geográfica e de interpolação de dados georreferenciados. / This thesis presents a study based on the zoning of geotechnical parameters resulting from core boring, carried out in the basaltic bedrock located in the area of the Itaipu Hydroelectric Power Plant (Foz do Iguaçu - PR). These zonings were carried out based on the interpolation of the data by means of ordinary kriging and multiquadric equations. The data provided by core boring analyzed in this research are: Rock Quality Designation (RDQ), degree of alteration, degree of consistency and degree of fracturing. The interpolation methods were evaluated for the RQD parameter, since such methods present similar mathematical characteristics; therefore, comparisons were made between interpolations resulting from ordinary kriging and multiquadric equations, demonstrating the similarity of these methods with real data. In this manner, the remaining parameters due to being categorized as categorical variables and, therefore, discrete, and presenting complexity for the execution of the variographic analysis of the data (experimental semi-variogram and modeling of the semi-variogram), were interpolated only by the method of the multiquadric equations. The validation of the interpolated data was carried out on the basis of a case study relating to the hydrogeotechnical behavior of the bedrock mass, which is monitored by standpipe piezometers. This validation showed that the methods employed to obtain the zonings and the modeling parameters chosen were adequate, since a high correlation was verified between the behavior trends obtained by the interpolations of the geotechnical parameters of the bedrock mass and the behavior revealed by the set of piezometers installed in the same site. The primordial stage of this job was the acquisition of historical data relating to the geological-geotechnical investigations in the area of Itaipu Dam. This data served as a starting point for the composition of an interactive map showing the location of the different types of investigations carried out in the rock and earthen masses. The resulting document permit a rapid and dynamic search through the geotechnical information, since it presents as its reference the plan view of the Itaipu dam itself. Each point of investigation is linked to the geotechnical profile. The investigations utilized in this map are: core boring, standard penetration test (SPT), cone penetration test (CPT) and manual pit. In this manner, the recovery of the historical information obtained by the geotechnical investigation the Itaipu Dam area resulted in data compilations in digital format, based upon which, a set of tabular forms was obtained of a type capable of being utilized in different Systems of Geographical Information and of interpolation of geo-referenced data.

Depuis plusieurs années, la question de la simplification du droit est au cœur du discours juridique. La multiplication des règles de droit, de leurs sources (nationales et internationales) comme de leurs supports (lois, codes, etc.), nuit à la lisibilité du droit et donc à la sécurité juridique.Ce constat peut être fait plus particulièrement en matière de responsabilité civile extracontractuelle où l’on trouve effectivement des normes de toutes origines, de toutes natures et sur de nombreux supports. Or, ces normes connaissent des champs d’application concurrents, de sorte que plusieurs d’entre elles peuvent jouer pour le même litige. Le problème qui se pose alors est de savoir à l’avance comment trancher pareil concours.Pour parvenir à articuler les normes de la responsabilité civile, il a fallu rechercher des principes permettant de désigner la norme applicable au litige. Deux principes sont alors ressortis de cette étude. Le premier, dit principe directeur, est le principe de subsidiarité, tandis que le second, dit principe correcteur, est un principe d’intérêt, qui repose lui-même sur plusieurs outils, tels que l’option, le cumul ou la hiérarchie. Le législateur, le juge et la victime sont naturellement au cœur de ce dispositif d’articulation qui, correctement appliqué, devrait permettre de résoudre tous les concours, en désignant la norme finalement applicable. / For several years now, the issue of the simplification of the law is central in the juridicaldebate. The multiplication of rules of law, of their sources (national and international), as well astheir foundations (laws, rules, codes, etc.), is harmful to the clear understanding of the law andconsequently to the juridical safety.This statement can be made particularly in the field of extra contractual civil liability where normsfrom all origins, all natures and numerous founding bases are indeed to be found. Yet thesenorms overlap and compete in their scope of application, so that several norms may apply to thesame litigation. Therefore, the issue which arises is to ascertain beforehand option, the how toarbitrate among such competing and overlapping norms.In order to structure the norms of civil liability, it has been necessary to research and findprinciples enabling to designate the norms to be applied in the litigation. Two principles stand outfrom this research. The first one, called the guiding principle, is the principle of subsidiarity, whilethe second one, called the principle of revision, is a principle of interest, which is itself based onseveral instruments, such as: option, plurality, and hierarchy. The legislator, the judge and thevictim are obviously at the core of this system of links which, if it is correctly applied, shouldenable to solve all the competitions between norms, by designating the norm which is finallyapplicable.

Neste trabalho, apresentamos uma fórmula da variação das constantes para EDOs generalizadas lineares em espaços de Banach. Mais especificamente, estamos interessados em estabelecer uma relação entre as soluções do problema de Cauchy para uma EDO generalizada linear \'dx SUP. d \'tau\' =D[A(t )x], x(\'t IND. 0\') = \'x SOB. ~\' e as soluções do problema de Cauchy perturbado \'dx SUP. d \'tau\' =D[A(t )x +F(x, t )], x(\'t IND. 0\') = x(\'t IND. 0\') = \'x SOB. ~\' , em que as funções envolvidas são Perron integráveis e, portanto, admitem muitas descontinuidades e oscilações. Também provamos a existência de uma correspondência biunívoca entre o problema de Cauchy para uma EDF linear da forma { \' y PONTO\' =L(t )\'y IND. t\' , \'y IND. t IND. 0 = \\varphi\', , em que L é um operador linear e limitado e \'varphi\' é uma função regrada, e uma certa classe de EDOs generalizadas lineares. Como consequência, obtemos uma fórmula da variação das constantes relacionando as soluções da EDF linear e as soluções do problema perturbado { \'y PONTO\' = L(t )\'y IND.t\' + f (\'yIND. t\' , \'y IND. t IND. 0\' = \'\\varphi \', em que a aplicação \'t SETA \' f (\'y IND. t\' , t) é Perron integrável, com t em um intervalo de R, para cada função regrada y / In this work, we present a variation-of-constants formula for linear generalized ordinary differential equations in Banach spaces. More specifically, we are interested in establishing a relation between the solutions of the Cauchy problem for a linear generalized ordinary differential equation \'dx SUP. d \\tau\' =D[A(t )x], x(\'t IND. 0\') = x (\'t IND. 0\') = \'x SOB. ~\' and the solutions of the perturbed Cauchy problem \'dx SUP. \'d \\tau\' =D[A(t )x +F(x, t )], x(\'t IND. \'0) = \'x SOB.~\', where the functions involved are generalized Perron integrable and, hence, admit many discontinuities and oscillations. We also prove that there exists a one-to-one correspondence between the Cauchy problem for a linear functional differential equations of the form { \'y PONTO\' = L(t) \'y IND. t, \'y IND> 0 = \\varphi, where L is a bounded linear operator and \" is a regulated function, and a certain class of linear generalized ordinary differential equations. As a consequence, we are able to obtain a variation-of-constants formula relating the solutions of the linear functional differential equation and the solutions of the perturbed problem { \'y PONTO\' = L(T)\'y IND.t´+ f (\'y IND. t\', t), \'y IND.t IND. 0\' = \\varphi, where the application t \'ARROW\' f(\'y IND. t\', t) is Perron integrable, with t in an interval of R, for each regulated function y

Molecular Dynamics (MD) is the numerical simulation of a large system of interacting molecules, and one of the key components of a MD simulation is the numerical estimation of the solutions to a system of nonlinear differential equations. Such systems are very sensitive to discretization and round-off error, and correspondingly, standard techniques such as Runge-Kutta methods can lead to poor results. However, MD systems are conservative, which means that we can use Hamiltonian mechanics and symplectic transformations (also known as canonical transformations) in analyzing and approximating solutions. This is standard in MD applications, leading to numerical techniques known as symplectic integrators, and often, these techniques are developed for well-understood Hamiltonian systems such as Hill’s lunar equation. In this presentation, we explore how well symplectic techniques developed for well-understood systems (specifically, Hill’s Lunar equation) address discretization errors in MD systems which fail for one or more reasons.

Orientador: José Sílvio Govone / Resumo: As variáveis aleatórias no espaço estão definidas como funções aleatórias sujeitas à teoria das variáveis regionalizadas. Para assumir continuidade espacial com um número limitado de realizações da variável aleatória são necessárias as hipóteses de estacionariedade, as quais envolvem diferentes graus de homogeneidade espacial. Formalmente, uma variável regionalizada Z é estacionária se os momentos estatísticos de Z(s+h) forem os mesmos para qualquer vetor h. A hipótese de estacionariedade de primeira ordem é definida como a hipótese de que o momento de primeira ordem da distribuição da função aleatória Z(s) é constante em toda a área. A hipótese intrínseca é baseada no cálculo de médias globais das semivariancias, com a pressuposição de estacionariedade de 1a ordem e da estacionariedade da variância dos incrementos. Embora muitas variáveis sejam suscetível a dupla ou múltipla estacionariedade, estas estruturas espaciais não são levadas em consideração pelo semivariograma usual. Na perspectiva de solucionar o problema apontado, buscou-se identificar os locais dos pontos de mudança na média que definem mais de uma estrutura de semivariancia, com o objetivo de melhorar a qualidade dos mapas de Krigagem Ordinária. Para isso, foi utilizado o Método de Partição Produto (MPP), com enfoque espacial, denominado Método de Partição Produto Espacial (MPPs). Para separar os grupos, foi criada uma função de busca de ponto de mudança na média utilizando o modelo hierárquico bayesiano, denom... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: The random variables in space are defined by random functions subject to regionalized variable theory. To assume spatial continuity with a limited number of realization of the random variable, we need to assume stationarity hypotheses, which involve different degrees of spatial homogeneity. Formally, a regionalized variable Z is stationary if statistical moments of Z(s + h) are the same for any vector h. The first order stationarity hypothesis is defined to be the hypothesis that first order moment of the distribution of the random function Z(s) is constant throughout the area. The intrinsic hypothesis is based on the computation of global means of semivariate models, with the assumption of 1st order stationarity and incremental variation stationarity. Although many variables are capable of double or multiple stationarity, these spatial structures are not taken into account by the usual semivariogram, and, consequently, cause acuracy problems in Kriging maps. In order xvii to solve the described problem, it was identify the points of change in the average with the objective of improving the quality and accuracy of the maps of Ordinary Kriging. To separate the groups, a mean change point search function was created using the Bayesian hierarchical model, called the Space Product Partition Model (MPPs). Two databases were used to test the model’s potential to separate spatially dependent groups, in which the former suspected a change in mean while in the latter. “ Data2 ”, there... (Complete abstract click electronic access below) / Doutor

For this project, we use a modified version of a previously developed mathematical model, which describes the relationships among matrix metalloproteinases (MMPs), their tissue inhibitors (TIMPs), and extracellular matrix (ECM). Our ultimate goal is to quantify and understand differences in parameter estimates between patients in order to predict future responses and individualize treatment for each patient. By analyzing parameter confidence intervals and confidence and prediction intervals for the state variables, we develop a parameter space reduction algorithm that results in better future response predictions for each individual patient. Moreover, use of another subset selection method, namely Structured Covariance Analysis, that considers identifiability of parameters, has been included in this work. Furthermore, to estimate parameters more efficiently and accurately, the standard error (SE- )optimal design method is employed, which calculates optimal observation times for clinical data to be collected. Finally, by combining different parameter subset selection methods and an optimal design problem, different cases for both finding optimal time points and intervals have been investigated.

Dropped object are defined as any object that fall under its own weight from a previously static position or fell due to an applied force from equipment or a moving object. It is among the top ten causes of injuries and fatality in oil and gas industry. To solve this problem, several in-house tools and guidelines is developed over time to assess the risk of dropped objects on the sub-sea structures. This thesis focuses on compiling and comparing those methods in hope to improve the recommended practices available in the market. A simple modification is done on the in-house tools to better predict the landing point distribution of the dropped cylindrical objects on the seabed by imposing the random three-dimensional rotation around the water depth axis. This tool is then used to compare the result of annual hit frequency using the recommended practice and further compared with the available experimental data.

<div>Given a parametrized family of Iterated Function System (IFS) we give sufficient conditions for a parameter on the boundary of the connectedness locus, M, to be accessible from the complement of M.</div><div>Moreover, we provide a few examples of such parameters and describe how they are connected to Misiurewicz parameter in the Mandelbrot set, i.e. the connectedness locus of the quadratic family z^2+c.<br></div>

Les neurosciences computationnelles consistent en l’étude du système nerveux par la modélisation et la simulation. Plus le modèle sera proche de la réalité et plus les ressources calculatoires exigées seront importantes. La question de la complexité et de la précision est un problème bien connu dans la simulation. Les travaux de recherche menés dans le cadre de cette thèse visent à améliorer la simulation de modèles mathématiques représentant le comportement physique et chimique de récepteurs synaptiques. Les modèles sont décrits par des équations différentielles ordinaires (EDO), et leur résolution passe par des méthodes numériques. Dans le but d’optimiser la simulation, j’ai implémenté différentes méthodes de résolution numérique des EDO. Afin de faciliter la sélection du meilleur algorithme de résolution numérique, une méthode nécessitant un minimum d’information a été proposée. Cette méthode permet de choisir l’algorithme qui optimise la simulation. La méthode a permis de démontrer que la dynamique d’un modèle de récepteur synaptique influence plus les performances des algorithmes de résolution que la structure cinétique du modèle lui-même. De plus, afin de caractériser des comportements pathogènes, une phase d’optimisation est réalisée. Cependant, certaines valeurs de paramètres rendent le modèle instable. Une étude de stabilité a permis de déterminer la stabilité du modèle pour des paramètres fournis par la littérature, mais également de remonter à des contraintes de stabilité sur les paramètres. Le respect de ces contraintes permet de garantir la stabilité des modèles étudiés, et donc de garantir le succès de la procédure permettant de rendre un modèle pathogène. / Computational Neuroscience consists in studying the nervous system through modeling and simulation. It is to characterize the laws of biology by using mathematical models integrating all known experimental data. From a practical point of view, the more realistic the model, the largest the required computational resources. The issue of complexity and accuracy is a well known problem in the modeling and identification of models. The research conducted in this thesis aims at improving the simulation of mathematical models representing the physical and chemical behavior of synaptic receptors. Models of synaptic receptors are described by ordinary differential equations (ODE), and are resolved with numerical procedures. In order to optimize the performance of the simulations, I have implemented various ODE numerical resolution methods. To facilitate the selection of the best solver, a method, requiring a minimum amount of information, has been proposed. This method allows choosing the best solver in order to optimize the simulation. The method demonstrates that the dynamic of a model has greater influence on the solver performances than the kinetic scheme of the model. In addition, to characterize pathogenic behavior, a parameter optimization is performed. However, some parameter values lead to unstable models. A stability study allowed for determining the stability of the models with parameters provided by the literature, but also to trace the stability constraints depending to these parameters. Compliance with these constraints ensures the stability of the models studied during the optimization phase, and therefore the success of the procedure to study pathogen models.

Cette thèse analyse les modalités contemporaines de production des lotissements résidentiels en France ainsi que la qualité morphologique des espaces urbains produits dans ce cadre opérationnel. Elle interroge le paradoxe entre la critique presque unanime dont font l’objet les lotissements d’une part et l’observation d’opérations de lotissement exemplaires d’autre part. Elle explore les conditions selon lesquelles ce mode opératoire est en capacité de fabriquer des espaces urbains de qualité au niveau de leur forme physique. Les lotissements sont appréhendés selon une double entrée : en tant qu’espaces matériels, c’est la qualité de leur tissu qui est étudiée ; en tant que processus d’action, c’est le fonctionnement des systèmes d’action collective qui les composent qui est analysé. D’un point de vue théorique, le travail mobilise les outils de la sociologie des organisations en croisant les apports de l’analyse stratégique avec ceux de l’économie des ordres de grandeur. L’appréhension de la matérialité des lotissements s’appuie sur l’approche par trames développée autour de la notion de tissu urbain par l’école française de morphologie urbaine. La thèse repose sur l’analyse qualitative et comparative de quatre opérations-études de cas situées dans l’agglomération lyonnaise. Elle montre tout d’abord qu’il n’y a pas de fatalité morphologique. L’analyse du tissu des quatre lotissements prouve ainsi que ce mode opératoire n’est pas condamné à fabriquer des espaces urbains médiocres. Cette démonstration est issue d’un travail préalable de conceptualisation de la notion de qualité morphologique, envisagée comme une convention sociale. L’analyse de l’évolution du droit de lotir, dans le cadre plus global des changements réglementaires en matière d’urbanisme et d’aménagement en France, montre ensuite que l’injonction réglementaire au développement urbain durable impacte au moins indirectement le lotissement dans le sens de sa qualification. Les changements législatifs récents ont en effet conduit à l’instauration d’un contexte d’action qui pousse les maîtres d’ouvrage à une plus grande réflexion en termes de localisation des opérations, et sans doute aussi à une plus grande densité bâtie. Seulement le droit n’explique pas tout. Les arbitrages en matière de morphologie s’opèrent ainsi à trois moments clés : lors de la définition du droit des sols, au moment de la délivrance des autorisations d’urbanisme et lors de la conception et de la programmation des opérations. L’analyse révèle alors que l’acteur communal possède potentiellement une grande force de régulation de la forme urbaine. La planification locale a ainsi un impact significatif sur le tissu des opérations, même si l’expérience montre que c’est le plus souvent dans un sens négatif. Dans l’interaction avec les acteurs privés, que ce soient les lotisseurs et leurs concepteurs ou les habitants-maîtres d’ouvrage et leur constructeur, la commune dispose de multiples ressources pour influencer les projets dans le sens de leur qualification. La thèse montre à ce propos le rôle central des institutions partenaires dans ce rapport de pouvoir, notamment pour les plus petites communes. À ces différents moments, l’aptitude qualifiante de la régulation publique dépend d’une variable essentielle : l’engagement politique des acteurs. La qualité des lotissements est enfin conditionnée par un deuxième élément : la responsabilité morphologique dont se sentent ou non investis les lotisseurs. Ces derniers conservent en effet une certaine marge de manœuvre en matière morphologique. Leur comportement en termes de conception est donc lui aussi déterminant pour la qualité du tissu des lotissements. / This thesis analyses the contemporary modalities of the production of residential allotments (lotissements) in France, as well as the morphological quality of urban spaces produced in this operational framework. It questions the paradox between the almost unanimous criticism directed at these residential developments, on the one hand, and the observation of exemplary developmentoperations on the other hand. It explores the conditions under which this modus operandi can produce urban spaces with morphological qualities. The residential allotments are considered from a dual perspective: as a material space, by studying the quality of the urban fabric; and as a process, by analysing the functioning of the collective action systems composing it.From a theoretical perspective, this work makes use organisational sociology tools (sociologie des organisations) by crossing of the Strategic Analysis inputs (Crozier and Friedberg) with those of the Economies of Worth (Boltanski and Thévenot). The understanding of the development’s materiality draws on the “frames” approach (approche par trames) developed around the notion of urban fabric by the French school of urban morphology. The thesis relies on qualitative and comparative analysis of four case studies located in urban agglomeration of Lyon.Firstly, it shows that there is no morphological fatality. The fabric analysis of these four projects proves that this modus operandi is not doomed to produce mediocre urban spaces. This demonstration draws on a prior conceptualisation of the notion of morphological quality, considered as a social convention.The analysis of subdivision laws (droit de lotir), in the broader context of regulatory changes in the field of urbanism and town planning in France, then shows that the impact of sustainable development regulations is, at least indirectly, to increase the quality of the residential allotment. Legal changes have indeed created a context that encourages a stronger reflection on development location by the project manager (maître d’ouvrage) and probably also a greater building density.Nevertheless, laws cannot provide a full explanation. The decisions regarding morphology are made at three key moments: when the planning laws (droit des sols) are defined, when the planning approvals (autorisations d’urbanisme) are delivered and when developments are designed and programmed. The analysis so reveals that the municipal stakeholder potentially holds an important power over the regulation of the urban form. Local planning therefore has a significant impact on the developments’ fabric, although experience shows that this impact is most often negative. In the interaction with private stakeholders, whether they are the developers (lotisseurs) and their designers (concepteurs), or the inhabitants-project managers (habitants-maître d’ouvrage) and their builder (constructeurs), the municipality has many resources at his disposal to influence the projects quality. In this respect, this thesis highlights the central role that partner institutions play in this power relation, particularly for smaller municipalities. At these different moments, the aptitude of public regulation for improving quality depends on one essential variable: the political commitment of the stakeholders. Finally, the quality of the residential allotments also depends on a further element; whether or not the developers have a sense of morphological responsibility. Developers indeed maintain a room for manoeuver regarding morphology. Their behaviour at the conception level is consequently also decisive for the quality of the developments’ fabric.