Soit f une instance du whole-plane $\SLE_\kappa$ : on sait que pour certaines valeurs de κ, p les moments dérivés $\mathbb{E}(\vert f'(z) \vert^p)$ peuvent être écrits sous une forme fermée, étude qui a permis de mettre au jour une nouvelle phase du spectre des moyennes intégrales. Le but de cette thèse est une étude des moments généralisés $\frac{\vert f'(z) \vert^p}{\vert f(z) \vert^q}$ : cette étude permet de confirmer la structure algébrique riche du whole-plane SLE. On montre que les formes fermées des moments mixtes $\mathbb{E}\big(\frac{\vert f'(z) \vert^p}{\vert f(z) \vert^q}\big)$ apparaissent sur une famille dénombrable de paraboles du plan (p, q), en étendant les équations de Beliaev-Smirnov à ce cas. Nous introduisons également le spectre généralisé β(p, q; κ), correspondant au comportement asymptotiques des moyennes intégrales mixtes. Le spectre généralisé moyen du whole-plane SLE prend quatre formes possibles, séparés par cinq séparatrices dans $\R^2$. Nous proposons également une approche semblable pour la dérivée Schwarziene S(f)(z) de l’application de SLE. Les calculs sur les équations de Beliaev-Smirnov d’une certaine générale forme de moment mène à une formulation explicite de $\mathbb{E}(S(f)(z))$ . Nous étudions finalement la variance asymptotique de McMullen et démontrons une relation entre la croissance infinitésimale du spectre de la moyenne intégrale et la variance asymptotique pour SLE₂. / Let f an instance of the whole-plane $\SLE_\kappa$ conformal map from the unit disk D to the slit plane: We know that for certain values of κ, p the derivative moments $\mathbb{E}(\vert f'(z) \vert^p)$ can be written in a closed form, study that has updated a new phase of the integral means spectrum. The goal of this thesis is a study on generalized moments $\frac{\vert f'(z) \vert^p}{\vert f(z) \vert^q}$ : ΒββThis study permit confirm the rich algebraic structure of the whole-plane version of SLE. It will be showed that closed forms of the mixed moments E mixtes $\mathbb{E}\big(\frac{\vert f'(z) \vert^p}{\vert f(z) \vert^q}\big)$ can be obtained on a countable family of parabolas in the moment plane (p, q), by extending the so-called Beliaev–Smirnov equation to this case. We also introduce the generalized integral means spectrum, β(p, q; κ), corresponding to the singular behavior of the mixed moments. The average generalized spectrum of whole-plane SLE takes four possible forms, separated by five phase transition lines in $\R^2$. We also propose a similar approach for the Schwarzian derivative S(f)(z) of SLE maps. Computations on the Beliaev–Smirnov equation of a certain general form of moment lead to an explicit formula of $\mathbb{E}(S(f)(z))$ . We finally study the McMullen asymptotic variance and prove a relation between the infinitesimal growth of the integral mean spectrum and the asymptotic variance in an expectation sense for SLE₂.

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No. of bitstreams: 2 Dissertação - Ana Carolina Naves de Castro Rocha - 2017.pdf: 1758790 bytes, checksum: 97bce7148c03e60203e44acbb4531226 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-08-17 / Systemic lupus erythematosus (SLE) is an autoimmune, systemic, chronic inflammatory disease. The ACR (American College of Rheumatology) considers 4 skin findings as attributes for classifying SLE, while the Systemic Lupus International Collaborating Clinics (SLICC) has added new cutaneous lesions as classification criteria. The purpose of the present study is to quantify cutaneous lesions in SLE and associate them with other disease elements (demographics, ANA antibodies, extracutaneous lesions and disease activity) in patients treated at a renowned reference hospital in Brazil’s center-west region. Methods: Patients diagnosed with SLE in the HC/FMUFG unit were selected, and 97 of them were enrolled. A clinical consultation, along with medical records, provided collected data. SLEDAI score was used for measuring disease activity. The skin findings were categorized in groups according to the SLICC´s critera. Association and descriptive analysis of the qualitative variables were used, using absolute (n) and relative (%) frequencies. Results: Subjects were 86 females and 11 males of mixed ethnicities. Among LE specific lesions, malar rash was predominant, accounting for 33 patients (32.98%). Photosensitivity was found in 30.92% of patients, equivalent of Subacute Cutaneous Lupus Erythematosus (SCLE), discoid lesions in 9.27%, whilst lupus panniculitis comprised 3.9%. Hypertrophic and chilblain lupus represented both 2.06%. We found 72.16% patients with active disease and 81.4% with positive ANA. Conclusions: At least one skin lesion was present in 60,8% of the patients. In this Brazilian population, malar rash remains the main presentation of skin lesions in SLE, followed by SCLE and photosensitivity. We found no important association among skin lesions and SLEDAI score, ethnicity, age or gender. ANA antibodies was associated with alopecia (both cicatricial and non-cicatricial). Further studies are necessary in order to establish precise disease activity correlation and guided prognosis through skin findings. A deeper understanding of cutaneous lesions in SLE may provide a better disease management. / O Lúpus Eritematoso Sistêmico (LES) é uma doença inflamatória crônica, autoimune. Cerca de 80% dos pacientes apresentam lesão cutânea. O American College of Rheumatology (ACR) atribui às lesões cutâneas quatro de seus 11 critérios de classificação, enquanto o Systemic Lupus International Collaborating Clinics (SLICC) inclui mais lesões cutâneas em sua classificação. A proposta do presente estudo é descrever e quantificar as lesões cutâneas no LES e associá-las a fatores demográficos e clínico-sorológicos, como: Fator Antinuclear (FAN), atividade da doença (segundo o SLEDAI), manifestações extra-cutâneas. Metodologia: 97 pacientes acima de 18 anos, diagnosticados com LES, fizeram parte deste estudo. Dados foram obtidos da consulta, juntamente com prontuários. As lesões descritas foram agrupadas conforme os critérios SLICC, para as associações. Uma análise descritiva e associações das variáveis foi utilizada, a partir de frequências absoluta (n) e relativa (%). Resultados: Foram analisados 86 indivíduos do gênero feminino, e 11 do masculino, de diferentes etnias. O eritema malar foi a lesão predominante (32,98%). A fotossensibilidade foi encontrada em 30,92%, assim como o Lúpus Eritematoso Cutâneo Subagudo (LECS), e o lúpus discoide em 9,27%. A paniculite ocorreu em 3,9% dos casos. O lúpus hipertrófico e o lúpus pérnio ocorreram em 2,06% dos pacientes. Houve 72,16% de pacientes com doença ativa e 81,4% com FAN positivo. Não foram encontradas associações entre as lesões cutâneas e fatores demográficos, tampouco com atividade da doença ou manifestações clínicas principais. Conclusão: Dentre os pacientes estudados, 60,8% apresentavam ao menos uma lesão cutânea. Apenas a alopecia (todos os tipos) se associou ao gênero feminino. Não houve relevância nas comparações com nenhum outro dado demográfico. Não houve associação da presença do FAN com as lesões cutâneas. Não houve relevância na comparação de lesões cutâneas com outras manifestações, inclusive atividade da doença. São necessários novos estudos para se estabelecer relações entre as lesões cutâneas, atividade da doença, e previsão prognóstica. A compreensão das lesões cutâneas no LES pode trazer luz para uma melhor conduta terapêutica na doenç

La caractérisation des dynamiques de sous-mésoéchelle (<10km) à la surface de l'océan et leurs impacts sur les processus océaniques globaux sont des enjeux scientifiques majeurs. L'imagerie satellitaire est un outil essentiel dans ce contexte, qui présente toutefois des limitations liées aux instruments de télédétection. Dans le cas des images de température de surface des océans (SST), les mesures satellitaires des structures océaniques sont limitées par la résolution grossière des capteurs micro-ondes (~50km) d'une part, et par la sensibilité aux conditions climatiques (e.g., couverture nuageuse) des instruments de mesure infrarouge haute-résolution. Dans cette thèse, nous nous intéressons à l'analyse, la modélisation et la reconstruction des structures turbulentes haute-résolution capturées par imagerie satellitaire de SST, et proposons quatre contributions principales. Dans un premier temps, nous développons une méthode de filtrage conjointe Fourier-ondelettes pour le prétraitement d'artefacts géométriques dans les observations satellitaires infrarouges. Dans un deuxième temps, nous nous focalisons sur la caractérisation de la variabilité géométrique de champs de température de surface (SST) en utilisant des modèles de marches aléatoires appliqués aux lignes de niveaux. En particulier, nous considérons des processus aléatoires de type schramm Loewner (SLE). Nous nous intéressons ensuite à la modélisation stochastique des variabilités inter-échelles de champs de SST. Des modèles stochastiques de textures multivariées sont introduits. Ces modèles permettent de reproduire des propriétés statistiques et spectrales similaires à celles des données ayant servi à les calibrer. Nous développons ensuite des méthodes de super-résolution de champs de SST conditionnellement à une observation basse-résolution. Nous utilisons des modèles multivariés de textures formulés dans le domaine des ondelettes, en exploitant l'apprentissage d'à priori statistiques (i.e., covariances et covariances croisées) des différentes sous-bandes à partir d'images haute-résolution. Des contraintes supplémentaires imposées sur la phase de Fourier des différentes sous-bandes simulées permettent la reconstruction de structures géométriques marquées tels que les fronts. Nous démontrons la pertinence de la méthode proposée sur des images satellitaires de SST obtenues à partir du capteur Modis/Aqua. / The characterization of sub-mesoscale dynamics (<10 km) in the ocean surface and their impact on global ocean processes are major scientific issues. Satellite imagery is an essential tool within this framework. However, the use of remote sensing techniques still raise challenging. For instance, regarding Sea Surface Temperature (SST) images, satellite measurements of oceanic structures are limited by the coarse resolution of microwave sensors (~50km) on one hand, and by sensitivity to climatic conditions (eg., Cloud cover) of high-resolution infrared instruments on the other hand. In this thesis, we are interested in analysis, modeling and reconstruction of high-resolution turbulent structures captured by satellite SST imagery. In this context, we propose four main contributions. First, we develop a joint Fourier-Wavelet filtering method for the pre-processing of geometrical noises in satellite-based infrared observations, namely the striping noises. Secondly, we focus on the characterization of the geometric variability of sea surface temperature (SST) fields using random walk models applied to SST isolines. In particular, we consider the class of Schramm Loewner evolution curves (SLE). We then focus on the stochastic modeling of the cross-scale variabilities of SST fields. Stochastic multivariate texture-based models are introduced. These models are designed to reproduce several statistics and spectral properties that are observed on the data that are used to calibrate the model. We then develop our framework for stochastic super-resolution of SST fields conditionally to low-resolution observations. We use multivariate texture-based models formulated in the wavelet domain. These models exploit the formulation of statistical and spectral priors (i.e., covariances and cross-covariances) on wavelet subbands. These priors are directly learned from exemplar high-resolution images. Additional constraints imposed on the Fourier-phase of the different simulated subbands allow the reconstruction of coherent geometric structures such as the edge information. Our method is tested and validated using infrared high-resolution satellite SST images provided by Aqua Modis sensor.

Cette thèse porte sur la géométrie du champ libre Gaussien. Le champ libre Gaussien est un objet central en théorie quantique des champs et représente entre autre les fluctuations naturelles d'un potentiel électrique ou d’un modèle de dimères. La thèse commence dans le discret avec la démonstration d'un principe de Donsker en dimension plus grande que 1. Ce résultat est établi grâce à une nouvelle façon de représenter le champ libre en exprimant son gradient comme la partie gradient d'un champ de bruits blancs. Ensuite, les processus d'exploration du champ libre - ou ensembles locaux - introduits par Schramm-Sheffield sont étudiés en détail. Ces ensembles locaux généralisent de façon naturelle le concept de temps d'arrêt. On formalise cette théorie d'une nouvelle manière en procédant par analogie au cas 1D. Pour mieux comprendre le comportement du champs libre près des points d'intersection des ensembles locaux, un étude fine des oscillations du champ libre 2D près du bord s'avère utile. Enfin, la partie principale de cette thèse étudie des processus d'explorations particuliers – les processus SLE qui sont couplés naturellement avec le champ libre. On peut donner par exemple un sens aux lignes de niveau en utilisant le processus SLE_4 (Schramm-Sheffield). Nous avons utilisé ce couplage pour mieux comprendre la relation dite de KPZ qui intervient dans la théorie de la gravité quantique de Liouville. A l ‘aide de résultats fins sur l’enroulement des SLEs, nous avons montré comment adapter la relation de KPZ à la famille ci-dessus de processus d’explorations du champ libre. On peut interpréter ces résultats aussi comme une description de la géométrie du champ libre près des ces lignes d’exploration. / In this thesis we study the geometry of the Gaussian free field (GFF). After a gentle general introduction, we describe what we call the Hodge decomposition of the white noise – a way to represent the white noise vector field as a sum of a gradient and a rotation of independent GFFs. This decomposition gives rise to the Donsker invariance principle for the GFF.Next, we revisit from a slightly different angle the theory of so-called local sets of the GFF, introduced by Schramm and Sheffield. These random sets allow one to study the geometry of the GFF in a Markovian way. We also go a step further in describing the behaviour of the field near the boundary of possibly several local sets. The first chapter ends with a study of boundary oscillations of the GFF.The GFF is only a generalized function, yet it comes out that one can still make sense of it as a „random landscape“. In particular, Schramm and Sheffield gave meaning to the level lines of the GFF in terms of a coupling with SLE_4 process. In chapter 2 we study this coupling and describe the existent proofs and a non-proof of measurability of the SLE_4 process in this coupling. The rest of this chapter contains one of the most technical parts of the thesis – we obtain fine estimates on the winding of the SLE curves, conditioned to pass closely by a fixed point.This technical work is put in use in chapter 3, where we study the so called KPZ relation. In this context, the KPZ formula relates fractal dimensions of sets under the Euclidean geometry and under the „quantum geometry“ given by the exponential of the GFF. So far the KPZ formula was derived for planar sets independent of the quantum geometry. Here, we determine the KPZ formulas for sets that are naturally coupled with the quantum geometry – for the flow and level lines of the GFF. The family of KPZ formulas obtained resemble but still differ from the KPZ formula for independent sets.

Der systemische Lupus erythematodes (SLE) ist eine Autoimmunerkrankung, bei der eine Vielzahl an Organen betroffen sein kann. Hierbei spielen T-Zellen mit gestörter Zytokinproduktion, insbesondere von IL-2 und IFN-γ, eine besondere Rolle. Mit Fortschreiten der Krankheit sinkt die Anzahl an IL-2-Produzenten und gleichzeitig steigt die Anzahl an IFN-γ-Produzenten. Während die Rolle von IFN-γ in SLE bisher kontrovers diskutiert wird, wirkt sich die verringerte Produktion von IL-2 beispielsweise negativ auf regulatorische T-Zellen aus, was zur Pathogenese der Krankheit beiträgt. In dieser Arbeit erfolgte eine Charakterisierung der Zytokinproduzierenden CD4+ Gedächtnis-T-Zellen in erkrankten NZBxW Mäusen, einem Modell für SLE. Anhand der Produktion von IL-2 und/oder IFN-γ wurde dabei in DN (IFN-γ—IL-2— doppelt negative), IL-2 SP (IFN-γ—IL-2+ einzelpositive), DP (IFN-γ+IL-2+ doppelt positive) und IFN-γ SP (IFN-γ+IL-2— einzelpositive) Zellen unterschieden. Ein mehrstufiges Verfahren der Zellsortierung ermöglichte die Isolierung der vier Zellpopulationen. Genexpressionsanalysen legten offen, dass die während der Krankheit vermehrt vorkommende Population der IFN-γ SP Zellen im Vergleich zu DP Zellen deutliche Unterschiede in ihrem Genexpressionsmuster aufweist. IFN-γ SP Zellen exprimieren u.a. verstärkt Chemokinrezeptoren, co-stimulatorische und co-inhibitorische Moleküle, sowie Apoptose-Marker und zeigen eine verminderte Produktion von Effektorzytokinen. Weiterführende funktionelle Analysen untermauerten die Expressionsdaten und zeigten eine verminderte Proliferationsfähigkeit und verstärkte Apoptose der IFN-γ SP Zellen. Die Daten zeigen, dass der Phänotyp der IFN-γ SP Zellen in erkrankten NZBxW Lupus-Mäusen gestört ist, wodurch die IFN-γ SP Zellen zur Erkrankung beitragen könnten. / Systemic lupus erythematosus (SLE) is an autoimmune disease, which can affect almost every organ system of the body. Thereby altered cytokine production by T cells plays an important role in the pathogenesis of the disease. With disease progression, production of IL-2 decreases and production of IFN-γ increases. It has been shown that IL-2 deficiency affects Treg homeostasis in SLE and thus contributes to its pathogenesis. The role of IFN-γ in SLE is, however, controversial. In this work, a comprehensive characterization of four subpopulations of memory CD4 T cells of diseased NZBxW lupus-prone mice was performed. These cell subsets are DN (IFN-γ—IL-2— double negative), IL-2 SP (IFN-γ—IL-2+ single positive), DP (IFN-γ+IL-2+ double positive) and IFN-γ SP (IFN-γ+IL-2—single positive) cells. A multi-step cell sorting procedure was used to isolate these cell subsets. The data showed that IFN-γ SP cells were characterized by a different gene expression profile than DP cells. In detail, IFN-γ SP cells revealed an enhanced expression of chemokine receptors, co-stimulatory and co-inhibitory molecules as well as apoptosis markers and decreased production of effector cytokines. In addition, functional analyses showed that IFN-γ SP cells were tended to increased apoptosis and decreased proliferation. These data show an altered phenotype of IFN-γ SP cells of diseased NZBxW lupus-prone mice, which might be important for the disease pathogenesis at least in this animal model of SLE.

This thesis contains three main results. The first result states that, outside a slim set associated with a Gaussian process with long time memory, paths can be canonically enhanced to geometric rough paths. This allows us to apply the powerful Universal Limit Theorem in rough path theory to study the quasi-sure properties of the solutions of stochastic differential equations driven by Gaussian processes. The key idea is to use a norm, invented by B. Hambly and T.Lyons, which dominates the p-variation distance and the fact that the roughness of a Gaussian sample path is evenly distributed over time. The second result is the almost-sure uniqueness of the signatures of SLE kappa curves for kappa less than or equal to 4. We prove this by first expressing the Fourier transform of the winding angle of the SLE curve in terms of its signature. This formula also gives us a relation between the expected signature and the n-point functions studied in the SLE and Statistical Physics literature. It is important that the Chordal SLE measure in D is supported on simple curves from -1 to 1 for kappa between 0 and 4, and hence the image of the curve determines the curve up to reparametrisation. The third result is a formula for the expected signature of Gaussian processes generated by strictly regular kernels. The idea is to approximate the expected signature of this class of processes by the expected signature of their piecewise linear approximations. This reduces the problem to computing the moments of Gaussian random variables, which can be done using Wick’s formula.

This thesis involves the development of digital algorithms for the microstructural analysis of metallic deposits produced through the use of Scanning Laser Epitaxy (SLE). SLE is a new direct digital manufacturing (DDM) technique which allows for the creation of three dimensional nickel-based superalloy components using an incremental layering system. Using a bed of powder placed on an underlying substrate and a laser propagating a melt-pool across the sample, a layer of material can be added and through the careful control of SLE settings various microstructures can be created or extended from the substrate. To create parts that are within specified microstructure tolerances the ideal SLE settings must be located through experimental runs, with each material needing different operating parameters. This thesis focuses on improving the microstructural analysis by use of a program that tracks various features found in samples produced through the SLE technique and a data analysis program that provides greater insights into how the SLE settings influence the microstructure. Using this program the isolation of optimal SLE settings is faster while also providing greater insights into the process than is currently possible. The microstructure recognition program features three key aspects. The first evaluates major characteristics that typically arise during the SLE process; such as sample deformation, the aspects of a single crystal deposit, and the total deposit height. The second saves the data and all relevant test settings in a format that will allow for future analysis and comparison to other samples. Finally, it features a robust yet rapid execution so it may be used for entire runs of SLE samples, which can number up to 25, within a week. The program is designed for the types of microstructure found in CMSX-4 and Rene-80, specifically single crystal and equiaxed regions. The data fitting program uses optimally piecewise-fitted equations to find relationships between the SLE settings and the microstructure traits. The data is optimally piecewise fitted as the SLE process is a two-stage procedure, establishing then propagating the melt-pool across a sample, which creates distinct microstructure transitions. Using the information gathered, graphs provide a visual aid to better allow the experimenter to understand the process and a DOE is performed using sequential analysis; allowing the previously run samples to influence the future trials, reducing the amount of materials used while still providing great insight into the parameter field. Having access to the microstructure data across the entire sample and an advanced data fitting program that can accurately relate them to the SLE settings allows the program to track and optimize features that were never before possible.

Characteristics as unknown cause, complicated pathophysiology and a great amount of complexity are describing systemic lupus erythematosus (SLE) more than well. It’s an autoimmune disease that is almost exclusive for women in their reproductive years and are believed to correlate with both genetics and environmental factors. Risk factors like stress, usage of cigarettes or birth controls with estrogen and infections are believed to trigger the progression of SLE. The spectra of therapeutic drugs are narrow due to the complexity and requirement of financial resources for scientific causes. Treatment is mainly symptomatic. The alternative splicing (AS) is a highly complex mechanism that is essential and are able to generate a great diversity of proteins encoded by the same gene are referred to as isoforms. Splicing occurs after the transcription that generates pre-mRNA because the exons need to fuse together and excision of introns. In patients with cancer diagnosis, they have observed that progression of disease and AS are correlated by the means of isoforms and splicing regulators. In studies, the relevance of alternative splicing events in SLE has been shown for both splicing regulators like SRSF1 and different isoforms for example CD44 and CD45. The aim of this study was to evaluate the potential biomarker AS in SLE.  This study of literature started with looking for clinical trials within databases like PubMed and Web of Science, that matched the aim of the study. Usage of terms like ‘SLE and biomarker’ och ‘SLE and alternative splicing’ etcetera. After inclusion of six scientific articles the author started the work with this literature of study.  Results gave strong indications that usage of alternative splicing as biomarker do have strong potential. Although the need of more goal-oriented scientific studies is required. Results from all six studies can be summarized by the line of argument that AS, in different ways, are somehow involved in the pathogenesis and progression of SLE. Both spliceosome, isoforms, splicing factors, other proteins and is also a possible, in the future, therapeutic target for example monoclonal antibodies. Other therapeutic targets maybe against phosphatases and kinases. New strategies are going to bring hope for the patients that are suffering from SLE, especially when the disease is active for 2–3 years. Being able to individualize treatment are going to generate a better quality of life for many SLE patients and usage of AS as a biomarker for disease severity.

No description available.

International Telemetering Conference Proceedings / October 20-23, 2003 / Riviera Hotel and Convention Center, Las Vegas, Nevada / NASA and Lockheed Martin-CSOC have been supporting in the development of plans for the evolution of NASA’s Ground Network (GN) and Space Network (SN), and where possible, synchronizing those plans with plans for the evolution of the Deep Space Network (DSN). This paper describes a recommendation for a common ground system communication architecture based on the Consultative Committee for Space Data Systems (CCSDS) Space Link Extension (SLE).