Neste trabalho estudamos o problema de Dirichlet assintótico para a equação das superfícies mínimas em uma superfície de Cartan-Hadamard rotacionalmente simétrica e mostramos que o problema e unicamente solúvel para qualquer dado contínuo em seu bordo assintótico. / In this work we study the asymptotic Dirichlet problem for the minimal surface equation on rotationally symmetric Cartan-Hadamard surfaces. We prove that the problem is uniquely solvave for any continuous asymptotic boundary data.

A elaboração desta dissertação se constituiu na tentativa de pensar uma terceira margem no hospital psiquiátrico através de uma etnografia que enfrenta problemas que estão na base da própria consolidação da disciplina antropológica e dos pressupostos filosóficos que a constituíram. Analisa-se se aqueles que estão no hospital psiquiátrico na situação de pacientes seriam diferentes demais para que a disciplina que se propõe pensar a diferença possa levá-los a sério como objeto e, simultaneamente, sujeitos de pesquisa. A descrição etnográfica visa abranger a multiplicidade subjetiva produzida por internados a partir de uma Oficina de Criatividade e os efeitos ontológicos produzidos por maiorias morais que reivindicam um acesso privilegiado à realidade e ao bom juízo. Atento a processos subjetivos inusitados potencialmente capazes de problematizar os modelos dominantes de codificação, os quais poderiam ser desconsiderados em nome da autoridade de saberes especializados no campo da saúde mental, o efeito etnográfico multiplica o tecido político ao evidenciar processos de singularização por parte de usuários e moradores de um hospital-que-foi-hospício. / The formulation of this research consisted to attempt to think the third bank in the psychiatric hospital through ethnography facing problems that underlie the consolidation itself of anthropological discipline and its philosophical presuppositions. Those at the psychiatric hospital in the situation of patients would be too different for the discipline that think about the difference may take them seriously as an object and simultaneously research subjects? The ethnographic description addresses the subjective multiplicity produced from a Creativity Workshop inside the institution and the ontological effects produced by moral majorities who claim a privileged access to reality and good judgment. Attentive to unusual subjective processes potentially able to question the dominant models of coding which could be disregarded in the name of the authority of specialized knowledge in the mental health field, the ethnographic effect multiplies the political texture to emphasize subjective processes by users and hospitalized of a hospital that was hospice.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This thesis will make a study of the conic, which can be defined as quadratic equations solutions with two variables, with the main objective recognition of same through a simplification of the quadratic form associated, whose procedure involves the diagonalization of symmetric matrices. Throughout this work, will address the prerequisites needed for the reader with little familiarity on the subject, can understand each stage of its development, as Euclidean spaces and matrix diagonalization. / Nesta dissertação faremos um estudo das cônicas, as quais podem ser definidas como soluções de equações do segundo grau com duas variáveis, tendo como objetivo principal o reconhecimento das mesmas por meio de uma simplificação da forma quadrática associada, cujo procedimento envolve a diagonalização de matrizes simétricas. Ao longo deste trabalho, serão abordados os pré-requisitos necessários para que o leitor, com pouca familiaridade no assunto, possa compreender cada etapa de seu desenvolvimento, como espaços euclidianos e diagonalização de matrizes.

Orientador: Maurice de Koning / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin / Made available in DSpace on 2018-08-17T03:22:05Z (GMT). No. of bitstreams: 1 LandinezBorda_EdgarJosue_M.pdf: 6192602 bytes, checksum: b68b0a1398ca87f49a34034ae4473a58 (MD5) Previous issue date: 2010 / Resumo: Nesta dissertação abordamos o problema da escala temporal nas simulações atomísticas, focando no problema de eventos raros. A solução deste problema so e possível com o desenvolvimento de técnicas especiais. Especificamente, estudamos o método super-simétrico para encontrar caminhos de reação. Este metodo não apresenta as limitições comuns de outros metodos para eventos raros. Aplicamos o método a três problemas padrão e encontramos que o método permite estudar as transições raras sem precisar de um conhecimento detalhado do sistema. Além disso permite observar qualitativamente os mecanismos de transição / Abstract: This thesis deals with the problem of time scale in atomistic simulations, focusing on the problem of rare events. The solution to this problem is only possible with the development of special techniques. Specifically, we studied the super-symmetric method to find reaction pathways. This method does not have the usual limitations of other methods for rare events. We apply the method to three standard problems and find that the method allows to study the rare transitions without a detailed knowledge of the system. In addition, it allows us to observe qualitatively the transition mechanisms / Mestrado / Física Estatistica e Termodinamica / Mestre em Física

Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2017-09-22T19:42:42Z No. of bitstreams: 2 Dissertação - Leandro Valerio Silva - 2017.pdf: 5149451 bytes, checksum: 3c193b0556f60d79c470ef940136aaf7 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-09-25T11:46:04Z (GMT) No. of bitstreams: 2 Dissertação - Leandro Valerio Silva - 2017.pdf: 5149451 bytes, checksum: 3c193b0556f60d79c470ef940136aaf7 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2017-09-25T11:46:04Z (GMT). No. of bitstreams: 2 Dissertação - Leandro Valerio Silva - 2017.pdf: 5149451 bytes, checksum: 3c193b0556f60d79c470ef940136aaf7 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-03-25 / The aim of this study is to use control charts to monitor the ICMS revenue in Goias, Brazil. The autocorrelation of the data was removed by using symmetric autoregressive moving average (SYMARMA) models. The results showed that the Shewhart control chart obtained from the SYMARMA model, based on a conditional normal distribuition, presented the best result. / O objetivo principal deste estudo é construir gráficos de controle para o monitoramento da arrecadação de ICMS em Goiás. Para tal, foram utilizados modelos autoregressivos de médias móveis simétricos (SYMARMA) com a finalidade de eliminar a autocorrelação presente na série temporal dos recolhimentos de ICMS. Construíram-se gráficos de controle do tipo Shewhart, CUSUM e EWMA, a partir dos resíduos gerados pelo modelo SYMARMA. Os resultados demonstraram que o gráfico de controle de Shewhart construído a partir dos resíduos do modelo SYMARMA com distribuição normal condicional apresentou-se o mais de acordo com a realidade da arrecadação.

No presente trabalho construímos novos exemplos de hipersuperfícies mínimas, completas e H-equivariantes de espaços simétricos. Para tal, usamos o método da geometria diferencial equivariante (Hsiang-Lawson). Dividimos nosso estudo em duas partes, a saber, espaços simétricos G/K de tipo não compacto e compacto. No primeiro caso são estudadas ações polares de subgrupos H adaptados à decomposição de Iwasawa G=KAN. No segundo caso usamos a classificação (Podesta-Thobergsson) dos subgrupos H de Spin(9) que atuam com cohomogeneidade dois sobre o plano projetivo octoniônico F_4/Spin(9). / In the present work we construct new examples of complete minimal H-equivariant hypersurfaces of symmetric spaces G/K. For that, we use the equivariant differential geometry method (Hsiang-Lawson). We divide our research in two parts, namely, symmetric spaces of non-compact and compact type. In the first case we study polar actions of subgroups H adapted to the Iwasawa decomposition G=KAN. In the second case we use the classification (Podesta-Thobergsson) of the subgroups H of Spin(9) which act with cohomogeneity two on the octonionc projective plane F_4/Spin(9).

The Rijndael cryptosystem uses a particular polynomial to create its constants. All calculations within the encryption and decryption layers are based on this polynomial. This arouse the curiosity to see what happens if the polynomial is substituted by other polynomials. This paper’s main area of study is to investigate the consequences of using different polynomials to construct the Rijndael cryptosystem. To do so, as a phase of this study, a Mathematica package has been created to ease the investigations. As the second phase, using the aforementioned package, some kind of diffusion analysis has been done on the newly constructed Rijndael-like cryptosystems. The fundamental challenge was to figure out the reason of having the particular polynomial chosen. By the end of the experiment, we concluded that choosing other polynomials with the same characteristics as an ingredient of the Rijndael algorithm, does not have any perceptible effects on the diffusion level.

After introducing concepts from convex analysis, we study how to continuously transform one convex function into another. A natural choice is the arithmetic average, as it is pointwise continuous; however, this choice fails to average functions with different domains. On the contrary, the proximal average is not only continuous (in the epi-topology) but can actually average functions with disjoint domains. In fact, the proximal average not only inherits strict convexity (like the arithmetic average) but also inherits smoothness and differentiability (unlike the arithmetic average). Then we introduce a computational framework for computer-aided convex analysis. Motivated by the proximal average, we notice that the class of piecewise linear-quadratic (PLQ) functions is closed under (positive) scalar multiplication, addition, Fenchel conjugation, and Moreau envelope. As a result, the PLQ framework gives rise to linear-time and linear-space algorithms for convex PLQ functions. We extend this framework to nonconvex PLQ functions and present an explicit convex hull algorithm. Finally, we discuss a method to find primal-dual symmetric antiderivatives from cyclically monotone operators. As these antiderivatives depend on the minimal and maximal Rockafellar functions [5, Theorem 3.5, Corollary 3.10], it turns out that the minimal and maximal function in [12, p.132,p.136] are indeed the same functions. Algorithms used to compute these antiderivatives can be formulated as shortest path problems. / Graduate Studies, College of (Okanagan) / Graduate

La finalité de cette thèse est de fournir une meilleure compréhension de la turbulence homogène anisotrope soumise à un forçage barocline. À cette fin, nous utilisons une approche numérique pseudo-spectrale basée sur la transformation de Rogallo. L’utilisation d’un tel algorithme nous permet de considérer une asymétrie des fonctions de probabilité en faveur des évènements négatifs est observée. Le lien entre la distribution de vorticité potentielle et celle d’un scalaire passif est également étudié. Il est montré qu’à faible nombre de Richardson, c’est le mode vortex (à vorticité potentielle nulle) qui contient les plus importantes fuctuations de scalaire. Un écoulement homogène dans les trois directions de l’espace. Plusieurs simulations numériques directes (DNS) sont effectuées dans un contexte assez proche des écoulements géophysiques que l’on retrouve entre autre dans la stratosphère, où un gradient constant de vitesse zonale vient se coupler à un gradient constant de densité dans un repère tournant. Les résultats obtenus s’articulent autour de quatre axes principaux. Tout d’abord, une étude linéaire à temps fini est présentée en vue de compléter les résultats existants sur la dynamique linéaire asymptotique. La solution linéaire est décomposée en une partie ‘onde’ (qui se propage) et une partie dite ‘vortex’(stationnaire). L’étude analytique est complétée par un modèle synthétique de turbulence (Kinematic Simulation ou KS) basé sur la théorie de la distorsion rapide(RDT). Nous montrons qu’une distribution initiale non nulle de vorticité potentielle linéarisée peut conduire à d’importantes croissances transitoires. Ce résultat pourrait s’étendre à des modélisations du climat ou météorologique, où la distribution initiale de vorticité potentielle semble avoir autant d’importance que la distribution initiale de température ou de vitesse. Ensuite, nous consacrons une partie de notre étude à l’analyse paramétrique et à la stabilité de l’écoulement. Plusieurs DNS sont effectuées pour différents taux de rotation et stratification. Le diagramme de stabilité obtenu montre que pour de faibles taux de rotation, la limite de stabilité est identique à celle connue des écoulements sans rotation. À plus faible nombre de Rossby — lorsque la baroclinicité devient importante — la limite linéaire de stabilité Ri = 1 relative à l’instabilité symétrique est confirmée. La coexistance de l’instabilité barocline avec l’instabilité symétrique est également clarifiée. Une analyse énergétique détaillée mène à la conclusion suivante : la stratification doit être suffisamment importante (Ri ' 1) pour que l’instabilité barocline soit dominante i.e. que la conversion d’énergie potentielle soit la source principale d’énergie cinétique turbulente. Dans le cas contraire, l’instabilité symétrique — qui tire son énergie de l’énergie cinétique de l’écoulement moyen et non de son énergie potentielle — domine la dynamique de l’écoulement. Le troisième axe d’étude concerne la turbulence à proprement parler. En conséquence de l’ajustement géostrophique, le vent thermique force la turbulence d’une manière naturelle, en opposition à d’autres méthodes de forçage stochastique. L’émergence de structures dans le contexte barocline est approfondie. Des statistiques Euleriennes sont présentées afin de fournir une caractérisation fine de l’anisotropie de l’écoulement. Enfin, nous étendons notre étude à la caractérisation de la vorticité potentielle turbulente. Les fonctions de probabilité de la vorticité potentielle d’Ertel montrent que des anomalies sont présentes dans les configurations instables. En particulier, une asymétrie des fonctions de probabilité en faveur des évènements négatifs est observée. Le lien entre la distribution de vorticité potentielle et celle d’un scalaire passif est également étudié. Il est montré qu’à faible nombre de Richardson, c’est le mode vortex (à vorticité potentielle nulle) qui contient les plus importantes fuctuations de scalaire. / The main objective of this thesis is to provide a better understandingof homogeneous turbulence dynamics under an external baroclinic forcing.To achieve this goal, we use a pseudo-spectral code based on the Rogallo transformation.The use of such an algorithm allows to assume homegeneity in the threespatial directions. Direct Numerical Simulations (DNS) are done in a context representativeof geophysical baroclinic flows in the middle atmosphere: superpositionof a uniform mean zonal flow with stable vertical stratification and frame rotation.The results we obtained are then presented along four axes.First, a finite-time linear analysis is done to complete previous asymptotic results.The linearized flow is decomposed into a propagating (wave) and stationary (vortex)part. The analytical work is completed by a Kinematic Simulation (KS) modelbased on Rapid Distortion Theory (RDT). It is shown that the linearized potentialvorticity mode can produce dramatic transient growth of the kinetic energy if nonzeroinitially. The consequence of such a result is then of capital interest in climatemodelling, where the initial distribution of potential vorticity seems to have moreimportance than other eulerian quantities (temperature or velocity).The second axis is dedicated to a parametric analysis of the flow stability. SeveralDNS are done for different rotation and stratification rates. The derived stabilitydiagram shows that at low rotation rates, the stability bound for purely shearedstratifiedflows is recovered. At higher rotation rates — when baroclinicity is dominant— the linear bound for the so-called symmetric instability is confirmed. Thecoexistence of baroclinic and symmetric instabilies is also clarified. A complete energeticanalysis leads to the conclusion that stratification must be sufficiently highto enhance potential energy release through baroclinic instability. If not, symmetricinstability — driving its energy from the kinetic energy of the mean flow and notfrom the potential energy of the mean flow — is found to dominate the dynamics.The third axis is devoted to a characterisation of homogeneous turbulence submittedto an external baroclinic forcing. As coming from the geostrophic adjustment,the thermal shear allows an organic forcing of turbulence, in opposition to ad-hocarticificial forcing. The structures associated with the simultaneous presence of rotation,stratification and shear are investigated. Eulerian statistics are gathered togive a sharp characterisation of the spatial anisotropy of the flow.Finally, we open our work to the study of turbulent potential vorticity. Probabilitydensity functions of Ertel’s potential vorticity show that potential vorticityanomalies are present in unstable configurations. In particular, an asymmetry ofthe probability density functions toward negative events is observed. An attemptto link potential vorticity dynamics with scalar mixing in baroclinic flows is donethrough joint probability functions analysis.

We consider the distributed detection of an emitter using multiple sensors deployed at deterministic locations. The signal from the emitter follows a signal attenuation model dependent on the distance between the sensor and the emitter. The sensors transmit their decisions to the fusion center through a parallel access Binary Symmetric Channel (BSC) with a cross-over probability. We seek to optimize the detection performance under a prescribed false alarm at the sensor level and at the system level. We consider the triangular topology structure and using the least favorable emitter range study the impact of the BSC on the system level detection fusion rules. The MAJORITY fusion rule is found to be optimal under certain conditions.