Thermodynamical formalism is a relatively recent area of pure mathematics owing a lot to some classical notions of thermodynamics. On this thesis we state and prove some of the main results in the area of thermodynamical formalism. The first chapter is an introduction to ergodic theory. Some of the main theorems are proved and there is also a quite thorough study of the topology that arises in Borel probability measure spaces. In the second chapter we introduce the notions of topological pressure and measure theoretic entropy and we state and prove two very important theorems, Shannon-McMillan-Breiman theorem and the Variational Principle. Distance expanding maps and their connection with the calculation of topological pressure cover the third chapter. The fourth chapter introduces Gibbs states and the very important Perron-Frobenius Operator. The fifth chapter establishes the connection between pressure and geometry. Topological pressure is used in the calculation of Hausdorff dimensions. Finally the sixth chapter introduces the notion of conformal measures.

The purpose of this study was to critically evaluate Tom Stoppard’s application of chaos theory and quantum science in ROSENCRANTZ AND GUILDENSTERN ARE DEAD, HAPGOOD and ARCADIA; and determine the extent to which Stoppard argues for the importance of human action and choice. Through critical analysis this study examined how Stoppard applies the quantum aspects of: (1) indeterminacy to human epistemology in ROSENCRANTZ AND GUILDENSTERN ARE DEAD; (2) complementarity to human identity in HAPGOOD; and (3) recursive symmetry to human history in ARCADIA. It also examined how Stoppard excavates the complexities of human action, choice and identity through the lens of chaos theory and quantum science. These findings demonstrated that Tom Stoppard is not merely juxtaposing quantum science and human interactions for the sake of drama; rather, by excavating the complexities of human action, choice and identity through the lens of chaos theory and quantum science, Stoppard demonstrates the fundamental connection between individuals and the post-Newtonian universe.

Orientador: Afira Vianna Ripper / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Educação / Made available in DSpace on 2018-08-26T20:07:53Z (GMT). No. of bitstreams: 1 Damin_MariaAparecidadaSilva_D.pdf: 1865892 bytes, checksum: 2d6ab6e119e9b1799b0f86e208f538ac (MD5) Previous issue date: 2015 / Resumo: Este estudo mapeia produções de professores e gestores, da Secretaria Municipal de Educação de Campinas, SP, no curso de Especialização "A Pesquisa e a Tecnologia na Formação Docente", da Faculdade de Educação da Unicamp, nos anos de 2008 e 2009. Ao seguir os fluxos de desejo, na contingência cotidiana, problematizando e teorizando práticas, gera-se um processo educativo caótico, constituído por campos intensivos, que denominei "Processo Educação Caos", caracterizado pela instabilidade e incerteza. Na tentativa de encontrar rastros de campos intensivos detonadores da educação como devir a impulsionar a experimentação de outras maneiras de se atuar na escola, transito nas produções escritas dos professores, gestores e em teorizações de alguns filósofos como Gilles Deleuze & Félix Guattari, Michel Foucault, Silvio Gallo, Baruch Spinoza, Antonin Artaud, Jaques Derrida, dentre outros. Alguns campos intensivos gerados nos encontros se mostram a aumentar a força de ação à maneira de Spinoza tais como: "a potência do desejo", "os encontros alegres", "o exercício da escrita" de forma livre. O seguir fluxos de desejo na problematização e teorização da pratica cotidiana pelo professor e gestor, no apreender via problematização de temas de interesse no dia a dia da sala de aula por alunos e professores. Os "encontros", que podem ser com qualquer coisa que aumente a força de existir e o exercício da escrita como o vento a soprar registros castradores da razão, marcados em nossos corpos por certa maneira de escrita vivida na escola. A produção de saberes nesse processo pedagógico se dá de forma transversal, portanto um currículo, aberto, em constante devir. No processo de escrita o que está naturalizado na escola passa a ser visto por outros ângulos, questões são postas a nu, o que pode impulsionar a busca por outras maneiras de fazer na escola, vida / Abstract: This study maps the production of teachers and school administrators from the Campinas Department of Education, São Paulo of a specialization course "The Research and Technology in Teacher Education", given by the Faculty of Education at UNICAMP during 2008 and 2009. Following the flows of desire in the daily contingency, discussing and theorizing practices generates a chaotic educational process, consisting of intensive fields which I have called "Process Education Chaos", characterized by instability and uncertainty. In an attempt to find traces of intensive fields of detonators of education as obligation, capable of boosting other experiments of acting in school, I go back and forth between the teachers and managers¿ written productions and the theories of philosophers; such as, Gilles Deleuze, Félix Guattari, Michel Foucault, Silvio Gallo, Baruch Spinoza, Antonin Artaud, Jacques Derrida, among others. Some intensive fields generated during meetings showed a growing rise on its action force similar to Spinoza¿s theories, for example, "the power of desire", "the gay encounters", "the exercise of writing" in a free manner. It follows the flow of desire on the discussion and theorization about the daily school practice, both by teachers and managers. The "encounters" which may be related to anything that increases the strength of existence and the exercise of writing, which, as the wind blows away castrating records of reason, our minds have been marked by the certain way that Writing was taught in school. The knowledge production on such an educational process goes across the board and in a transversal manner. It happens in the curriculum, which is open, and is constantly changing. The process of writing, that which is taken for granted in school, comes to be seen from different angles. It begins to see questions that be put openly which can boost the search for different ways of facing what has to be done at school / Doutorado / Psicologia Educacional / Doutora em Educação

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We consider diffeomorphisms of a compact Riemann Surface. A development of Oseledec's Multiplicative Ergodic Theorem is given, along with a development of measure theoretic entropy and dimension. The main result, due to L.S. Young, is that for certain diffeomorphisms of a surface, there is a beautiful relationship between these three concepts; namely that the entropy equals dimension times expansion.

Conventional coastal ocean models solve the shallow water equations, which describe the conservation of mass and momentum when the horizontal length scale is much greater than the vertical length scale. In this case vertical pressure gradients in the momentum equations are nearly hydrostatic. The outputs of coastal ocean models are thus sensitive to the bottom stress terms defined through the formulation of Manning’s n coefficients. This thesis considers the Bayesian inference problem of the Manning’s n coefficient in the context of storm surge based on the coastal ocean ADCIRC model. In the first part if the thesis, we apply an ensemble-based Kalman filter, the singular evolutive interpolated Kalman (SEIK) filter to estimate both a constant Manning’s n coefficient and a 2-D parameterized Manning’s coefficient on one ideal and one of more realistic domain using observation system simulation experiments (OSSEs). We study the sensitivity of the system to the ensemble size. we also access the benefits from using an inflation factor on the filter performance. To study the limitation of the Guassian restricted assumption on the SEIK filter, we also implemented in the second part of this thesis a Markov Chain Monte Carlo (MCMC) method based on a Generalized Polynomial chaos (gPc) approach for the estimation of the 1-D and 2-D Mannning’s n coefficient. The gPc is used to build a surrogate model that imitate the ADCIRC model in order to make the computational cost of implementing the MCMC with the ADCIRC model reasonable. We evaluate the performance of the MCMC-gPc approach and study its robustness to different OSSEs scenario. we also compare its estimates with those resulting from SEIK in term of parameter estimates and full distributions. we present a full analysis of the solution of these two methods, of the contexts of their algorithms, and make recommendation for fully realistic application.

京都大学 / 0048 / 新制・課程博士 / 博士(工学) / 甲第22069号 / 工博第4650号 / 新制||工||1725(附属図書館) / 京都大学大学院工学研究科電気工学専攻 / (主査)教授 引原 隆士, 教授 松尾 哲司, 准教授 三谷 友彦 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM

京都大学 / 0048 / 新制・課程博士 / 博士(情報学) / 甲第22582号 / 情博第719号 / 新制||情||123(附属図書館) / 京都大学大学院情報学研究科数理工学専攻 / (主査)教授 矢ヶ崎 一幸, 教授 中村 佳正, 教授 梅野 健 / 学位規則第4条第1項該当 / Doctor of Informatics / Kyoto University / DFAM

京都大学 / 0048 / 新制・課程博士 / 博士(情報学) / 甲第22585号 / 情博第722号 / 新制||情||124(附属図書館) / 京都大学大学院情報学研究科数理工学専攻 / (主査)教授 梅野 健, 教授 山下 信雄, 教授 守倉 正博 / 学位規則第4条第1項該当 / Doctor of Informatics / Kyoto University / DFAM

With experimental realization, energy harvesting capabilities of chaotic microstructures were explored. Incident photons falling into chaotic trajectories resulted in energy buildup for certain frequencies. As a consequence, many fold enhancement in light trapping was observed. These ellipsoid like chaotic microstructures demonstrated 25% enhancement in light trapping at 450nm excitation and 15% enhancement at 550nm excitation. Optimization of these structures can drive novel chaos-assisted energy harvesting systems. In subsequent sections of the thesis, prospect of broadband light extraction from white light emitting diodes were investigated, which is an unchallenged but quintessential problem in solid-state lighting. Size dependent scattering allows microstructures to interact strongly with narrow-band light. If disorder is introduced in spread and sizes of microstructures, broadband light extraction is possible. A novel scheme with Voronoi tessellation to quantify disorder in physical systems was also introduced, and a link between voronoi disorder and state disorder of statistical mechanics was established. Overall, in this thesis some nascent concepts regarding disorder and chaos were investigated to efficiently manage electromagnetic waves in optoelectronic devices.