Submitted by Rosivalda Pereira (mrs.pereira@ufma.br) on 2017-08-23T17:31:16Z No. of bitstreams: 1 AndreCortez.pdf: 8621619 bytes, checksum: a2c58769de7cc646bd6e13cee7259a78 (MD5) / Made available in DSpace on 2017-08-23T17:31:16Z (GMT). No. of bitstreams: 1 AndreCortez.pdf: 8621619 bytes, checksum: a2c58769de7cc646bd6e13cee7259a78 (MD5) Previous issue date: 2012-01-28 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / In this work we address a theoretical calculation of the electronic spectra in Si-Ge atomic chain that is arranged in a Fibonacci quasi-periodic sequence, by using semi-empirical quantum method based on Hückel extended model. We apply the Fibonacci substitutional sequences in the atomic building blocks A(Si) and B(Ge) through the in ation rule or recursion relation. In our ab initio calculations we use only a single point which is the sufi cient condition to consider all the orbitals and charge distribution across the entire system. Although the calculations presented here are more complete than the models adopted in the literature which take into account the electronic interaction, up to the second and third neighbors, an interesting property remains in their electronic spectra: the fractality (which is the main signature of this kind of system). We discuss this fractality of the spectra and we compare them with the randomic arrangement of Si-Ge atomic chain, and with previous results based on the tight-binding approximation of Schorödinger equation considering until the nearest neighbor. / Neste trabalho abordamos um cálculo teórico dos espectros eletrônicos em cadeia atômica de Si-Ge que é organizado em uma sequência Fibonacci quasi-periódica, usando o método semi-empírico com base no modelo quântico Hückel estendido. Nós aplicamos as sequências substitucional de Fibonacci nos blocos de construção atômica A(Si) e B(Ge) através da relação de recursão. Em nossos cálculos ab initio, usamos apenas um único ponto, que é a condição sufi ciente para considerar todos os orbitais e a distribuição de cargas em todo o sistema. Embora os cálculos apresentados aqui sejam mais completos do que os modelos adotados na literatura que levam em conta a interação eletrônica, até segundos e terceiros vizinhos, uma propriedade interessante permanece em seus espectros eletrônicos: a fractalidade (que é a assinatura principal deste tipo de sistema). Discutimos essa fractalidade dos espectros e as comparamos com os espectros de cadeia atômica randômica de Si-Ge, e, também, com os resultados prévios baseados na aproximação tight-binding da equação Schorödinger considerando até o vizinho mais próximo.

The potential generated by ICT in education raises reflect on the underlying frameworks. In this sense, the fractal is an opportunity to explain how it organizes and manages virtual education.This approach recognizes that educational dynamics are recursive and iterative processes instituted as progressive sequences, by way of fractals. This understanding enables becoming as mediated and articulated successive levels. In each dimension are embodied own activities and in turn, involves the recurrence of subsequent levels as possible solving of problem situations. Thus, the knowledge built in response to a collaborative action, participation in networks, ranging from autonomous to the cultural level or conversely. / La aplicación de las TIC en la educación suscita reflexionar sobre los marcos estructurales que la fundamentan. En ese sentido, la fractalidad constituye una aproximación a cómo se organiza y gestiona la educación virtual.Este abordaje reconoce que en la dinámica educativa existen procesos recursivos e iterativos instituidos como secuencias progresivas, a modo de los fractales. Su devenir posibilita su comprensión como un sistema mediado por niveles sucesivos y articulados. En cada dimensión se plasman actividades propias, y a su vez, involucra la recurrencia a los subsiguientes niveles, como posibilidad resolutiva de las situaciones problemáticas. Así, el conocimiento construido responde a una acción colaborativa, de participación en red, desde el nivel autónomo hasta el cultural o viceversa.

Submitted by Sandra Maria Neri Santiago (sandra.neri@ufpe.br) on 2016-04-15T18:46:34Z No. of bitstreams: 2 license_rdf: 1379 bytes, checksum: ea56f4fcc6f0edcf0e7437b1ff2d434c (MD5) Dissertação_Tiago Aécio Grangeiro de Souza Barbosa Lima.pdf: 2215610 bytes, checksum: 8993869b89fc394d9e8171a017cfee6e (MD5) / Made available in DSpace on 2016-04-15T18:46:34Z (GMT). No. of bitstreams: 2 license_rdf: 1379 bytes, checksum: ea56f4fcc6f0edcf0e7437b1ff2d434c (MD5) Dissertação_Tiago Aécio Grangeiro de Souza Barbosa Lima.pdf: 2215610 bytes, checksum: 8993869b89fc394d9e8171a017cfee6e (MD5) Previous issue date: 2010-07-23 / Neste trabalho investigamos o problema do caminhante aleatório unidimensional como modelo para encontrar que distribuição de probabilidades é a melhor estratégia a ser utilizada na busca por sítios-alvos aleatoriamente distribuídos, cuja localização é desconhecida, na situação em que o buscador tem informação limitada sobre sua vizinhança. Embora tal problema tenha surgido na década de 1960, uma nova motivação surgiu nos anos 1990 quando dados empíricos mostraram que várias espécies de animais, sob condições gerais (especialmente escassez de comida), não usam estratégias brownianas de busca, mas sim distribuições de Lévy. A principal diferença entre elas é que as distribuições de Lévy decaem muito mais lentamente com a distância (com cauda do tipo lei de potência no limite de longos passos), não obedecendo, portanto, ao Teorema do Limite Central, e apresentam propriedades interessantes, como fractalidade, superdifusão e autoafinidade. Estes experimentos, juntamente com conceitos evolucionistas, levantaram a suspeita de que tal escolha pode ter sido adotada por ser mais vantajosa para o buscador, uma idéia conhecida como Lévy Flight Foraging Hypothesis. Em nosso estudo, definimos a eficiência da busca e obtemos a sua expressão analítica para o modelo. Utilizamos métodos computacionais para comparar as eficiências associadas às distribuições de Lévy e duas outras dentre as mais citadas na literatura, a gama e a "stretched exponential", concluindo que a de Lévy representa a melhor estratégia. Finalmente, empregamos métodos variacionais de extremização e obtemos a equação de Euler do problema. / In this work we study the one-dimensional random walk problem as a model to find which probability distribution function (pdf) is the best strategy when looking for randomly istributed target sites whose locations are not known, when the searcher has only limited information about its vicinity. Although research on this problem dates back to the 1960’s, a new motivation arose in the 1990’s when empirical data showed that many animal species, under broad conditions (especially scarcity of food), do not use Brownian strategies when looking for food, but Lévy distributions instead. The main difference between them is that the Lévy distribution decay much slower with distance (with a power-law tail in the long-range limit), thereby not obeying the Central Limit Theorem, and present interesting properties, like fractality, superdiffusivityand self-affinity. These experiments, coupled with evolutionary concepts, lead to suspicions that this choice might have been adopted because it is more advantageous for the searcher, an idea now termed as the Lévy Flight Foraging Hypothesis. To study the problem, we define a search efficiency function and obtain its analytical expression for our model. We use computational methods to compare the efficiencies associated with the Lévy and two of the most cited pdfs in the literature, the stretched exponential and Gamma distributions, showing that Lévy is the best search strategy. Finally, we employ variational extremization methods to obtain the problem’s Euler equation.

This dissertation is devoted to study of complex systems in human physiology particularly heartbeats and brain dynamics. We have studied the dynamics of heartbeats that has been a subject of investigation of two independent groups. The first group emphasized the multifractal nature of the heartbeat dynamics of healthy subjects, whereas the second group had established a close connection between healthy subjects and the occurrence of crucial events. We have analyzed the same set of data and established that in fact the heartbeats are characterized by the occurrence of crucial and Poisson events. An increase in the percentage of crucial events makes the multifractal spectrum broader, thereby bridging the results of the former group with the results of the latter group. The crucial events are characterized by a power index that signals the occurrence of 1/f noise for complex systems in the best physiological condition. These results led us to focus our analysis on the statistical properties of crucial events. We have adopted the same statistical analysis to study the statistical properties of the heartbeat dynamics of subjects practicing meditation. The heartbeats of people doing meditation are known to produce coherent fluctuations. In addition to this effect, we made the surprising discovery that meditation makes the heartbeat depart from the ideal condition of 1/f noise. We also discussed how to combine the wave-like nature of the dynamics of the brain with the existence of crucial events that are responsible for the 1/f noise. We showed that the anomalous scaling generated by the crucial events could be established by means of a direct analysis of raw data. The efficiency of the direct analysis procedure is made possible by the fact that periodicity and crucial events is the product of a spontaneous process of self-organization. We argue that the results of this study can be used to shed light into the nature of this process of self-organization.

The aim of this thesis is to examine an empirical relationship between multifrac- tality of financial time series and its returns. We approach the multifractality of a given time series as a measure of its complexity. Multifractal financial time series exhibit repeating self-similar patterns. Multifractality could be a good predictor of stock returns or a factor which can be used in asset pricing. We expected that capturing the complexity of a given time series by a model, a positive or a negative risk premia for investing into "more multifractal assets" could be found. Daily prices of 31 stock indices and daily returns of 10-years US government bonds were downloaded. All the data were recorded between 2012 and 2021. After estimation the multifractal spectra, applying MF-DFA method, of all stock indices, we ordered all stock indices from the lowest to the most multifractal. Then, we constructed a "multifractal portfolio" holding a long position in the 7 most multifractal and holding a short position in the 7 least multifractal stock indices. Fama-MacBeth regression with market risk premia and multifractal variable as independent variables was applied. Multi- fractality in all examined financial time series was found. We also found a very low negative risk premia for holding "a multifractal...

This thesis deals with complex processes, relationships and phenomena which go beyond the assumed and accepted materialistic perception of the world in general and the process of architectural design specifically. It clarifies and actually redefine the sustainability from a point of higher universal principles forming our environment. At the beginning this thesis presents an extensive knowledge base of existing holistic design systems including Feng-shui, sacred geometry, geomancy or numerology. The purpose is to build and establish a solid foundation for understanding and further research as well as objectively interpreting lesser known topics as a whole. On the basis of intersecting information through the above mentioned topics we specify the hypothesis which proposes the pre-existence of one unifying design matrix of harmonic structures in architecture. The structure of its verification takes us from an analysis of the science of human perception to systems of self-similar contextual references of animated and inanimated forms. These systems of emergent form and flow are basically known as fractals, and could be expressed in both mathematical and geometrical languages. The thesis research then consists of analysing chosen examples of urban and architectural scale in sense of fractality, symbolism and geometrical matrices. We include and integrate the research of associated and relevant phenomena in pedagogical practice, and a case study of the application of fractals in development of a chosen town. From the results of this thesis we abstract five non-dogmatic guidelines or tenets for architectural design; which are supported by experimental verification on some of the author´s buildings. These tenets stand as pillars of implosive architecture. This kind of architecture in context of transcendental overlaps means a possibility of how to bring our anthropogenic environment closer to the natural and harmonic code of the Universe.

More and more research studies are being conducted on the quality of architectural space as a factor affecting our mental, social and physical health. In the past, this topic was often overlooked in its complexity. The establishment of the specialized fields of building biology, biophilic architecture and the works of Christopher Alexander and Nikos Salingaros now allow us to consider various facets of this subject. This dissertation aims to analyse the topic of vitality in architectural space by studying the abilities and perceptions of its users. Therefore its aim is not to develop a new theory of “vitality-enhancing architectural space”, but to describe how this phenomenon is perceived by the users themselves. Users can provide feedback on which features of architectural space they see as the most important for the feeling of vitality. These features have been hierarchically organized based on their perceived importance, analysed and described in detail to allow their relatively easy application in practice. This dissertation will also allow a comparison with other existing works on the studied topic.