Das Ziel der Arbeit war es, Skalenverhalten und Lösungseigenschaften von flexiblen Dendrimeren als Modell für hochverzweigte Polymere zu untersuchen. Als Untersuchungsmethode wurde die gepulste Feldgradienten NMR (PFG-NMR) eingesetzt, um das hydrodynamische Verhalten der Dendrimere in Lösung zu erforschen. Aus der Konzentrationsabhängigkeit des Diffusionskoeffizienten konnte abgeleitet werden, dass das Verhalten der PAMAM-Dendrimere dem von Proteinen ähnelt, die Dendrimere also starr und globulär sind. Um die Abhängigkeit des hydrodynamischen Radius von der Molmasse zu untersuchen, kamen Lösungen von mehreren Generationen PAMAM-Dendrimeren mit verschiedenen Endgruppen zum Einsatz. Mit PFG-NMR wurden die Diffusionskoeffizienten bestimmt, aus denen die hydrodynamischen Radien nach der Stokes-Einstein-Beziehung berechnet wurden. Ein Skalenansatz lieferte die beste Beschreibung der Daten für alle drei untersuchten Systeme. Die ermittelten Skalenexponenten waren u = 3,7 für alle untersuchten PAMAM-Dendrimere. Dies bedeutet, dass deren Wachstum im dreidimensionalen Raum begrenzt ist, da der Skalenexponent einen Wert größer drei annimmt. Die Art der Endgruppen hatte in diesem Fall keinen erkennbaren Einfluss auf das Skalenverhalten. An Lysin-Dendrimeren wurde der Einfluss der Kernfunktionalität auf den Skalenexponenten untersucht. Die Lysin-Dendrimere standen als Monodendren (Kernfunktionalität, KF=1) und als Dendrimere mit einem Thiacalixaren-Kern (Thia1: KF=2, Thia2: KF=4) zur Verfügung. Die Skalenexponenten waren folgende: Für das Monodendron war u = 2,0, für Thia1 war u = 2,3 und Thia2 hatte einen Skalenexponent von u = 3,9. Da die Dendren in allen drei Fällen identisch waren, muss dieser Unterschied durch den Kern begründet sein. Weiter wurde die effektive Ladung von PAMAM-COONa G1,5 Dendrimeren in verdünnter D2O-Lösung als Funktion des pH-Werts mit Hilfe von Elektrophorese-NMR untersucht. Dabei änderte diese sich von Zeff = -5 e bei pH 12,6 zu Zeff = +5 e bei pH 1,8.

Orientador: Sérgio Leandro Nascimento Neves / Resumo: Neste trabalho, consideramos uma classe de problemas elípticos supercríticos não lineares. Apresentamos um método para determinar solução do problema de Coron no caso supercrítico para uma sequência de expoentes ressonantes. Tal método é uma adaptação do método de perturbação no caso onde não se conhece toda a variedade de soluções do problema não perturbado. / Abstract: In this work, we consider a class of nonlinear supercritical problems. We present a method to determine the solution of Coron’s problems in the supercritical case for a sequence of resonant exponents. Such a method is an adaptation of the perturbation method in the case where the whole solutions manifold to the non perturbed problem is not known. / Doutor

The PhD thesis deals with global in time existence results and blow-up result for a semilinear wave model with scale-invariant damping and mass. Since the time-dependent coefficients for the considered model make somehow the damping and the mass a threshold term between effective and non-effective terms, it turns out that a fundamental role in the description of qualitative properties of solutions to this semilinear model and to the corresponding linear homogeneous Cauchy problem is played by the multiplicative constants appearing in those coefficients. For coefficients that make the damping term dominant, we can use the standard approach for the classical damped wave model with L^2 − L^2 estimates and the so-called test function method. On the other hand, when the interaction among those coefficients is balanced, then, it is possible to observe how typical tools for hyperbolic models, as for example Kato’s lemma, provide sharp global in time existence results and sharp blow-up results for super- and sub-Strauss type exponents, respectively.

El presente trabajo comprueba la hipótesis de eficiencia de mercado (EMH) a través de una medida de persistencia temporal conocida como exponente de Hurst. Esta aproximación además de estar relacionada con la dimensión fractal, permite expandir el análisis de la hipótesis de mercado eficiente, propuesta por Eugene Fama en 1970. El cálculo del exponente de Hurst se realiza en base al método de rango reescalado; y se extiende su aplicación a una estimación dinámica entre el periodo 2006-2021. Este indicador sirve como índice de eficiencia de mercado, y se estima para las series de retornos diarios de los mercados de valores del MILA, conformado por Chile, Colombia, México y Perú. Los resultados demuestran que Perú es el mercado menos eficiente, y con mayor número de ciclos de ineficiencia para el periodo calculado. Por otro lado, México resulta ser el único mercado del MILA que estuvo dentro de la región de eficiencia. / The present work tests the market efficiency hypothesis (EMH) through a measure of time persistence known as the Hurst exponent. This approach, in addition to being related to the fractal dimension, allows us to expand the analysis of the efficient market hypothesis proposed by Eugene Fama in 1970. The calculation of the Hurst exponent is carried out based on the rescaled range method; and its application is extended to a dynamic estimation between the 2006-2021 period. This indicator serves as a market efficiency index and is estimated for the series of daily returns of the MILA securities markets, made up of Chile, Colombia, Mexico, and Peru. The results show that Peru is the least efficient market, and with the highest number of inefficiency cycles for the calculated period. On the other hand, Mexico turns out to be the only MILA market which has been in the efficient region. / Trabajo de investigación

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In 1872, Mormon plural wife, educator, and suffragist Lucinda Lee Dalton began writing fiery political essays and insightful poetry for the Woman's Exponent from her small community in southern Utah. Through her writings Dalton endeavors to shape the opinions of Exponent readers by working within public discourse toward the goal of equality for women. At times both optimistic and troubled, she uses the rhetorical strategies of humor, irony, reason, identification, and persuasion to educate men and women on disparities and to encourage women to participate actively in their own emancipation. She often engages in a dialogical process with other writers by crafting both polemic and poetic responses to specific writings in order to work toward greater insight on critical issues. As an essayist Dalton defends her religion, calls for the expansion of women's political and economic opportunities, and asserts that the elevation of women is crucial to achieving the potential of both sexes. As a poet she is a compelling writer who reveals in her poems her apprehensions and aspirations, her faith and feminism. Much of her poetry reflects the same commitment to reform that is clear in her essays, and she uses both genres do effective political work. This thesis uses a pluralist approach to recover Lu Dalton as an important early Mormon writer. It articulates her merit as a representative voice by evaluating the historical context and rhetorical function of her published writings in which she actively calls for broad societal reform, writing on women's roles, political rights, and relationship with God and men.

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