La géométrie fractale, développée par Mandelbrot dans les années 70, a connu un essor considérable ces 20 dernières années. Dans cette thèse, je m'intéresse à la génération de signaux dits fractals et multifractals. J'étudie en particulier 2 modèles, dont leur point commun est leur structure d'arbre de branchement sous jacente.<br />Le premier modèle est une généralisation des Systèmes de fonctions Itérés ou IFS, introduits par Hutchinson dans les années 80. Les IFS constituent un moyen simple et efficace pour produire des ensembles et des processus fractals en itérant un nombre fixed d'opérateurs. L'idée est d'autoriser un nombre aléatoire d'opérateurs aléatoires à chaque itération de l'algorithme. Nous donnons des conditions simples et faciles à vérifier sous lesquelles l'IFS admet un point fixe. Quelques propriétés du point fixe sont également étudiées. Le deuxième modèle, que nous appellons Multifractal Embedded Branching Process (MEBP), s'obtient à l'aide d'un changement de temps multifractal d'un processus à invariance d'échelle discrète, le processus EBP Canonique (CEBP). Nous donnons un algorithm efficace de simulation "on-line" de ces processus, permettant de générer X(n + 1) à partir de X(n) en O(log n) opérations. Nous obtenons également un borne supérieure pour le spectre multifractal du changement de temps et confirmons les résultats théoriques à l'aide de simulations. Les mouvements Browniens en temps multifractal sont des cas particuliers des processus MEBP, ce qui suggère une application potentielle des processus MEBP en finance. Enfin, nous proposons d'imiter un mouvement Brownien fractionnaire à l'aide d'un processus MEBP.

This thesis is based on four papers investigating properties of split trees and also introducing new methods for studying such trees. Split trees comprise a large class of random trees of logarithmic height and include e.g., binary search trees, m-ary search trees, quadtrees, median of (2k+1)-trees, simplex trees, tries and digital search trees. Split trees are constructed recursively, using “split vectors”, to distribute n “balls” to the vertices/nodes. The vertices of a split tree may contain different numbers of balls; in computer science applications these balls often represent “key numbers”. In the first paper, it was tested whether a recently described method for determining the asymptotic distribution of the number of records (or cuts) in a deterministic complete binary tree could be extended to binary search trees. This method used a classical triangular array theorem to study the convergence of sums of triangular arrays to infinitely divisible distributions. It was shown that with modifications, the same approach could be used to determine the asymptotic distribution of the number of records (or cuts) in binary search trees, i.e., in a well-characterized type of random split trees. In the second paper, renewal theory was introduced as a novel approach for studying split trees. It was shown that this theory is highly useful for investigating these types of trees. It was shown that the expected number of vertices (a random number) divided by the number of balls, n, converges to a constant as n tends to infinity. Furthermore, it was demonstrated that the number of vertices is concentrated around its mean value. New results were also presented regarding depths of balls and vertices in split trees. In the third paper, it was tested whether the methods of proof to determine the asymptotic distribution of the number of records (or cuts) used in the binary search tree, could be extended to split trees in general. Using renewal theory it was demonstrated for the overall class of random split trees that the normalized number of records (or cuts) has asymptotically a weakly 1-stable distribution. In the fourth paper, branching Markov chains were introduced to investigate split trees with immigration, i.e., CTM protocols and their generalizations. It was shown that there is a natural relationship between the Markov chain and a multi-type (Galton-Watson) process that is well adapted to study stability in the corresponding tree. A stability condition was presented to de­scribe a phase transition deciding when the process is stable or unstable (i.e., the tree explodes). Further, the use of renewal theory also proved to be useful for studying split trees with immi­gration. Using this method it was demonstrated that when the tree is stable (i.e., finite), there is the same type of expression for the number of vertices as for normal split trees.

The goal of this thesis is to analyze the philosophy and pedagogy of an almost forgotten figure in Saskatchewan history, whose work has had a lasting impact on the theory and practice of adult education. Watson Thomson, who was appointed as director of the Adult Education Division (AED) by the newly elected CCF government of Tommy Douglas in 1944, initiated an ambitious program designed to animate the citizenry of Saskatchewan, bring a variety of educational services to the common person, and develop co-operative and community enterprises throughout the province. Thomsons work is significant for a number of reasons. First, I compare and contrast it with the pedagogy of Brazilian educator, Paulo Freire. Second, I show that it was influenced by the humanistic philosophy of Personalism, especially that of Emmanuel Mounier. Third, and perhaps most importantly, Watsons philosophy embodies insights from the depth psychology of Alfred Adler enabling him to advocate a distinctive, dialogical pedagogy. Fourth, his influence as director of the AED was considerable as can be gauged from the fact that within one year of its formation, the division had organized over 500 study-action groups and more than 100 cooperative enterprises. Fifth, Watsons educational achievements are important not only for historical reasons but as a model for the development of social economy enterprises today, as evidence from a recent UNESCO report shows. The thesis uses an interdisciplinary approach of intellectual biography, historical documentation, and philosophical and psychological analysis in order to establish a comprehensive account of the theory and practice of this important figure.

The goal of this thesis is to analyze the philosophy and pedagogy of an almost forgotten figure in Saskatchewan history, whose work has had a lasting impact on the theory and practice of adult education. Watson Thomson, who was appointed as director of the Adult Education Division (AED) by the newly elected CCF government of Tommy Douglas in 1944, initiated an ambitious program designed to animate the citizenry of Saskatchewan, bring a variety of educational services to the common person, and develop co-operative and community enterprises throughout the province. Thomsons work is significant for a number of reasons. First, I compare and contrast it with the pedagogy of Brazilian educator, Paulo Freire. Second, I show that it was influenced by the humanistic philosophy of Personalism, especially that of Emmanuel Mounier. Third, and perhaps most importantly, Watsons philosophy embodies insights from the depth psychology of Alfred Adler enabling him to advocate a distinctive, dialogical pedagogy. Fourth, his influence as director of the AED was considerable as can be gauged from the fact that within one year of its formation, the division had organized over 500 study-action groups and more than 100 cooperative enterprises. Fifth, Watsons educational achievements are important not only for historical reasons but as a model for the development of social economy enterprises today, as evidence from a recent UNESCO report shows. The thesis uses an interdisciplinary approach of intellectual biography, historical documentation, and philosophical and psychological analysis in order to establish a comprehensive account of the theory and practice of this important figure.

John Watson's thought has not been well understood. A question suggested by previous scholarship, namely, how successful was he at his task of re-founding the Christian religion on a philosophical base? is answered first in terms of consistency with the theological tradition. His revision of Christian theology is found to be inadequate by traditional standards; it is then examined as a philosophy of religion which, to his mind, overcame the difficulties of classical theism. It is argued that, despite some advantages, his philosophy of religion is deficient in two respects. First, its method is vitiated by a strained and sometimes mistaken interpretation of the philosophical tradition, indicative of arbitrariness. Second, "Speculative Idealism" as the result of that method reveals conceptual ambiguities corresponding to the ambiguities of classical theism. As the method is not self-evident and is used implicitly by Watson, and the results are philosophically ambiguous, the appropriation of this thought was theologically or philosophically shallow. Though Watson's thought, as far as it was understood, provided an underpinning for the "social gospel" movement in Canada, it is argued that this shallow appropriation explains, at least in part, the brevity of its appeal as philosophy of religion.

Les limites d'échelle de grands arbres aléatoires jouent un rôle central dans cette thèse.Nous nous intéressons plus spécifiquement au comportement asymptotique de plusieurs fonctions codant des arbres de Galton-Watson conditionnés. Nous envisageons plusieurs types de conditionnements faisant intervenir différentes quantités telles que le nombre total de sommets ou le nombre total de feuilles, avec des lois de reproductions différentes.Lorsque la loi de reproduction est critique et appartient au domaine d'attraction d'uneloi stable, un phénomène d'universalité se produit : ces arbres ressemblent à un même arbre aléatoire continu, l'arbre de Lévy stable. En revanche, lorsque la criticalité est brisée, la communauté de physique théorique a remarqué que des phénomènes de condensation peuvent survenir, ce qui signifie qu'avec grande probabilité, un sommet de l'arbre a un degré macroscopique comparable à la taille totale de l'arbre. Une partie de cette thèse consiste à mieux comprendre ce phénomène de condensation. Finalement, nous étudions des configurations non croisées aléatoires, obtenues à partir d'un polygône régulier en traçant des diagonales qui ne s'intersectent pas intérieurement, et remarquons qu'elles sont étroitement reliées à des arbres de Galton-Watson conditionnés à avoir un nombre de feuilles fixé. En particulier, ce lien jette un nouveau pont entre les dissections uniformes et les arbres de Galton-Watson, ce qui permet d'obtenir d'intéressantes conséquences de nature combinatoire.

Research Doctorate - Doctor of Philosophy (PhD) / (**Note: this abstract is a plain text version of the author's abstract, the original of which contains characters and symbols which cannot be accurately represented in this format. The properly formatted abstract can be viewed in the Abstract and Thesis files above.**) The electronic structure and rovibrational spectroscopy of MH2, MHn+2, HMHen+ and MHen+2 (M = Li, Be, Na, Mg, K, Ca; n = 1, 2) have been investigated using correlated ab initio ansatz. In order to determine the efficacy of various electronic structure methods with respect to Group-I and II hydrides and helides, atomic properties of Li, Be,Na, Mg, K and Ca were calculated. Relativistically-corrected UCCSD(T) and ICMRCI(+Q) were deemed to be the most suitable ansatz with respect to both efficiency and accuracy. The lowest 2A1 and 2Σ- states of MH2 were found to be purely repulsive, in agreement with previous predictions. The main factor determining the structure and stability of the excited states of MH2 was the relative orientations and occupations of the valence p atomic orbital of M and the H2 1Ou orbital. The ground states of MHn+2 were found to be the result of the charge-quadrupole interaction between Mn+ and the H2 molecular subunit. The structures of the ground states of HMHe+ were extremely uxional with respect to the central bond angle co-ordinate. The ground state PESs of MHe+2 were also extremely sensitive to the ab initio ansatz by which they are modelled. The respective bonding of the H and He in both HMHe+ and HMHe2+ appeared to be charge-dependent in the case of Be, Mg and Ca. Despite the weak bonding observed for the Group-II hydrohelide and helide monocations, the corresponding dications each exhibit thermodynamically stable equilibria. The solution algorithm of von Nagy-Felsobuki and co-workers was employed in the calculation of vibrational and rovibrational spectra. This algorithm employed an Eckart-Watson Hamiltonian in conjunction with rectilinear normal co-ordinates. Vibrational and rovibrational Hamiltonian matrices were diagonalised using variational methods. This algorithm was extended so that the vibration transition moment integrals, and hence vibrational radiative properties, of linear triatomic molecules could be calculated. A method by which vibration-averaged structures are calculated was also developed and implemented. Analytical potential energy functions (PEFs) and dipole moment functions (DMFs) of (1A1)LiH+2, (1A1)NaH+2, (1A1)BeH2+2,(1A1)MgH2+2, (1Σ+g )BeHe2+2, (2Σ+)HBeHe2+, (1Σ+g )MgHe2+2 and (2Σ+)HMgHe2+ were developed using leastsquare regression techniques in conjunction with discrete ab initio grids. Vibrational structures and spectra of these species were subsequently calculated. In addition, the rovibrational spectra of (1A1)LiH+2, (1A1)NaH+2, (1A1)BeH2+2 and (1A1)MgH2+2 were calculated. For (1A1)LiH+2 and (1A1)LiD+2 , calculated rovibrational transition frequencies for J ≤ 10 and 0 ≤ K ≤ 3 were within ca. 0.1-0.2% of experimental values.

Research Doctorate - Doctor of Philosophy (PhD) / (**Note: this abstract is a plain text version of the author's abstract, the original of which contains characters and symbols which cannot be accurately represented in this format. The properly formatted abstract can be viewed in the Abstract and Thesis files above.**) The electronic structure and rovibrational spectroscopy of MH2, MHn+2, HMHen+ and MHen+2 (M = Li, Be, Na, Mg, K, Ca; n = 1, 2) have been investigated using correlated ab initio ansatz. In order to determine the efficacy of various electronic structure methods with respect to Group-I and II hydrides and helides, atomic properties of Li, Be,Na, Mg, K and Ca were calculated. Relativistically-corrected UCCSD(T) and ICMRCI(+Q) were deemed to be the most suitable ansatz with respect to both efficiency and accuracy. The lowest 2A1 and 2Σ- states of MH2 were found to be purely repulsive, in agreement with previous predictions. The main factor determining the structure and stability of the excited states of MH2 was the relative orientations and occupations of the valence p atomic orbital of M and the H2 1Ou orbital. The ground states of MHn+2 were found to be the result of the charge-quadrupole interaction between Mn+ and the H2 molecular subunit. The structures of the ground states of HMHe+ were extremely uxional with respect to the central bond angle co-ordinate. The ground state PESs of MHe+2 were also extremely sensitive to the ab initio ansatz by which they are modelled. The respective bonding of the H and He in both HMHe+ and HMHe2+ appeared to be charge-dependent in the case of Be, Mg and Ca. Despite the weak bonding observed for the Group-II hydrohelide and helide monocations, the corresponding dications each exhibit thermodynamically stable equilibria. The solution algorithm of von Nagy-Felsobuki and co-workers was employed in the calculation of vibrational and rovibrational spectra. This algorithm employed an Eckart-Watson Hamiltonian in conjunction with rectilinear normal co-ordinates. Vibrational and rovibrational Hamiltonian matrices were diagonalised using variational methods. This algorithm was extended so that the vibration transition moment integrals, and hence vibrational radiative properties, of linear triatomic molecules could be calculated. A method by which vibration-averaged structures are calculated was also developed and implemented. Analytical potential energy functions (PEFs) and dipole moment functions (DMFs) of (1A1)LiH+2, (1A1)NaH+2, (1A1)BeH2+2,(1A1)MgH2+2, (1Σ+g )BeHe2+2, (2Σ+)HBeHe2+, (1Σ+g )MgHe2+2 and (2Σ+)HMgHe2+ were developed using leastsquare regression techniques in conjunction with discrete ab initio grids. Vibrational structures and spectra of these species were subsequently calculated. In addition, the rovibrational spectra of (1A1)LiH+2, (1A1)NaH+2, (1A1)BeH2+2 and (1A1)MgH2+2 were calculated. For (1A1)LiH+2 and (1A1)LiD+2 , calculated rovibrational transition frequencies for J ≤ 10 and 0 ≤ K ≤ 3 were within ca. 0.1-0.2% of experimental values.

Thesis (M.S.)--Florida State University, 2005. / Advisor: Sandra Faria, Florida State University, School of Nursing. Title and description from dissertation home page (viewed Feb.1, 2006). Document formatted into pages; contains x, 133 pages. Includes bibliographical references.

As histórias de Sherlock Holmes cativam inúmeros leitores desde que o primeiro romance foi publicado em 1887 pelo autor escocês Sir Arthur Conan Doyle. As aventuras vividas pelo grande detetive Sherlock Holmes e seu companheiro Dr. John Watson têm sido adaptadas para outras mídias desde 1890, e épocas diferentes apresentam diferentes interpretações das personagens. Duas das mais recentes adaptações televisivas, Sherlock (2010 –), da BBC, e Elementary (2012 –), da CBS, se passam na contemporaneidade, inspirando uma reconfiguração das personagens, principalmente a de John Watson, considerando o fato de que ele não é mais o principal narrador das histórias na mídia audiovisual – o narrador fílmico é quem cumpre esse papel –, abrindo novas possibilidades para os papéis da personagem. Tais possibilidades motivam esta dissertação, que propõe um estudo da caracterização da personagem literária nos romances Um estudo em vermelho (1887) e O cão dos Baskerville (1902), para então considerar sua nova caracterização nas duas séries televisivas mencionadas acima. O trabalho, portanto, está dividido em quatro capítulos. O primeiro apresenta uma introdução ao autor e a relação com sua própria obra, além de um panorama histórico das adaptações fílmicas e televisivas, enfatizando as caracterizações de Watson nelas. O segundo apresenta as teorias que alicerçam a análise, particularmente a narratologia literária de Mieke Bal (2009), a narratologia fílmica de Peter Verstraten (2009), e as considerações de Jason Mittell (2015) acerca da personagem televisiva. Os capítulos três e quatro trazem as análises dos romances e séries de televisão respectivamente, focando nas (re)configurações da personagem Watson. Ao final deste trabalho, esperamos ter contribuído para um aprofundamento e diversificação dos estudos de personagem a partir de referenciais narratológicos, linha de estudos pouco desenvolvida, especialmente no Brasil. Da mesma forma, pretendemos demonstrar como adaptações televisivas exploram e amplificam o papel de personagens-narradoras, dando a elas e a outras personagens mais autonomia na obra audiovisual. / The Sherlock Holmes stories have captivated innumerous readers since the first novel was published in 1887 by Scottish author Sir Arthur Conan Doyle. The adventures lived by the Great Detective Sherlock Holmes and his companion Dr. John Watson have been adapted to other media from as early as 1890, and different times present different portrayals of the characters. Two of the latest television adaptations, BBC’s Sherlock (2010 –) and CBS’s Elementary (2012 –), are set in contemporary times, inspiring a reconfiguration of the characters, especially John Watson, considering the fact that he is not the main narrator of the stories in the audiovisual medium – the filmic narrator fulfills that function –, opening new possibilities for the character’s roles. These possibilities motivate this thesis, and we propose a study of the characterization of the literary character in the novels A Study in Scarlet (1887) and The Hound of the Baskervilles (1902), so that we can consider the new Watson’s characterization in the two television series aforementioned. Therefore, the thesis is divided into four chapters. The first presents an introduction to the author and his relation to his own work, along with a historical overview of film and television adaptations, emphasizing Watson’s characterization. The second presents the theoretical framework of the analyses, particularly the literary narratology as proposed by Mieke Bal (2009), film narratology as proposed by Peter Verstraten (2009), and Jason Mittell’s (2015) considerations about television characters. Chapters three and four are dedicated to the analyses of the novels and television series respectively, focusing on Watson’s (re)configurations. By the end of this work, we hope to have contributed to the further development and diversification of character studies with the use of narratological references, an undeveloped line of studies, especially in Brazil. In addition, we hope to demonstrate how television adaptations explore and amplify the role of character-narrators, giving them and other characters more autonomy in the audiovisual work.