Thesis (Ph.D.)--Brown University, 2005. / Vita. Thesis advisor: Vivek B. Shenoy. Includes bibliographical references (leaves 191-200). Also available online.

Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2007. / Includes bibliographical references (leaves 63-73). Also available in electronic version.

Thesis (Ph. D.)--University of Chicago, 1920. / Vita. "Private edition, distributed by the University of Chicago libraries, Chicago, Illinois." "Reprinted from the Transactions of the American mathematical society, vol. 23, no. 4, June 1922." Also available on the Internet.

Thesis (Ph. D.)--University of Chicago, 1920. / Vita. "Private edition, distributed by the University of Chicago libraries." Also available on the Internet. Also issued online.

No description available.

Th. 3e cycle--Méc., math.--Nancy--I.N.P.L., 1985.

Th.--Sci. phys.--Nancy--I.N.P.L., 1977.

Th. doct.--Technischen Hochschule Darmstadt, 1996.

Made available in DSpace on 2014-06-11T19:27:50Z (GMT). No. of bitstreams: 0 Previous issue date: 2007-10-29Bitstream added on 2014-06-13T19:15:23Z : No. of bitstreams: 1 marquesneto_r_me_rcla.pdf: 2544757 bytes, checksum: c23c3787ee6420768ab406cae71bd6c2 (MD5) / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / O propósito da presente dissertação consiste na determinação de unidades de paisagem para o município de São Thomé das Letras (MG), no estudo da evolução morfológica da área e na apreciação de aspectos morfotectônicos. O cumprimento dos objetivos estipulados demandou uma série de dispositivos analíticos que se coadunaram para a interpretação da fisiologia da paisagem e para o discernimento de diferentes unidades paisagísticas representadas em documento cartográfico de síntese. O estudo da evolução morfológica demandou a avaliação de elementos do quadro genético-evolutivo regional como meio para o entendimento dos processos operantes em âmbito local. A pesquisa focalizou a ocorrência e posicionamento de diferentes superfícies de erosão na área de estudo, diferenciando remanescentes relacionados à Superfície Sul-Americana, do Terciário Inferior, de modelados de dissecação mais recentes, de idade plio-pleistocência. A esta etapa se somou, com ênfase, estudos interessados na evolução morfológica levada a efeito durante o Quaternário em consonância com as oscilações climáticas que marca o referido período, o que se deu por meio do estudo de processos de pedimentação recente e dos depósitos correlatos, da avaliação da cobertura vegetal atual e dos fenômenos cársticos operantes, também sendo estimada a evolução do relevo com enfoque na estrutura, que confere tipicidade apalachiana para a morfologia local e regional. No tocante aos aspectos morfotectônicos, a pesquisa se valeu da análise do relevo e da drenagem, enfando os fenômenos neotectônicos com base na identificação de feições morfológicas indicativas (shutter ridges, capturas, migração lateral de cursos dágua, canais fluviais com trechos excessivamente retilíneos, etc.) e na identificação e interpretação dos principais lineamentos. Os estudos morfotectônicos... / The aim of this present dissertation consists in the determination of landscape unity for the town of São Thomé das Letras (MG), in the study of the area morphological evolution and appreciation of morphotectonic aspects. The fulfilment of stipulated purpose demanded a serie of analytical device that were gathered for the comprehention of landscape phisiology as well as the understanding of different landscape unities represented in graphic-chart document of synthesis. The study of morphological evolution demanded the evaluation of components the regional genetic-evolutive chart as so as to understand the operating process in local range. The research focused the occurence and status of different erosion surface in the studied area, differenciating remainders related to Superfície Sul-Americana of low Terciary, of latest dissection molded, of plio-pleistocene age. To such stage, with emphasis, was added studies interested in the morphological evolution effectuatedduring the Quaternary in consonance with climatic fluctuations that mark the referred era, which happened by means of process study of recent pedimentation and correlated deposits from evaluation of current vegetal covering and operating carstic phenomenon, also evolution of relief beig estimated focusing the structure, that grants appalachian tipicality to regional and local morphology. Regarding the morphotectonic aspects, the research turned to the relief analisis and drainage emphasizing the neotectonic phenomena based on identification of indicative morphological features (shutter ridges, captures, water-course lateral migration, river channel with excessively right-lined streches, etc.) and identification and interpretation of main lineages. The morphotectonic studies were subsidized by measuring the geomorphic rate useful for estimating neotectonic effects, notoriously the asymmetry Factor of Drainage Basins... (Complete abstract click electronic access below)

In oil exploration, changes in soil depth or thickness of a rock are indicators for the presence of the so called "seismic horizons" that identify the possible presence of oil. The data concerned are obtained by making measurements at randomly distributed sparse points. It is of interest to reconstruct the full model of the surface of the rock or the terrain, from the knowledge of the few sparse data points. This reconstruction cannot be achieved by using ordinary interpolation methods, as these methods assume that the reconstructed surface is smooth. Instead, a fractal prior model for the terrain has to be assumed. A constraint fractal formation then follows, with the constraints being the data points available. The dimension of the fractal used is inferred from the data points that are available, on the basis of the assumption that a fractal model applies and from the fact that a fractal exhibits the same properties at all scales. Several tools for the creation of artificial fractals of varying degrees of roughness are used to give a wide range of data for the reconstruction experiments. A tool to measure the fractal dimension of a surface, or a set of sparse data points, is an important part of the reconstruction process. Several methods of fractal dimension measurement are developed and thoroughly tested with many different surfaces. The reliability of the dimension calculation and how this changes with different levels of sparsity is investigated. Both tools are then modified to enable the production and measurement of anisotropic fractals - fractals with different levels of roughness in different directions. These sorts of fractal surfaces have received little or no attention in the literature and fractal reconstructions using prior knowledge of the anisotropy have not been done before. Several different versions of the fractal reconstruction method are developed and the control of the dimension of the reconstructed surface is carefully investigated. Example reconstructions are then presented, using both artificial and real fractals. The subsampling of the data is performed both at random and in regular patterns and the reconstruction is forced to extrapolate from as well as interpolate between the data points. Finally the reconstruction method is modified to incorporate knowledge of any anisotropy in the fractal surface. The method is tested on both real and artificial data and shows significant advantages over the regular isotropic reconstruction.