Inaug.-diss.--Leipzig. / Lebenslauf. Bibliography: p. 6-8.

Inaug.-diss.--Leipzig. / Lebenslauf. Bibliography: p. 6-8.

Thesis (Ph. D.)--Columbia University. / Plates accompanied by guard sheets with descriptive letterpress. Also available online.

Thesis (M.A.)--B.Y.U. Dept. of Communications.

The purpose of this study will be to make an accurate descriptive account of past journalistic endeavors in Emery County with special emphasis placed on the characteristics of the publications. The study will attempt to illustrate the characteristics and tone of each editor's or publisher's product. Available biographical material and characteristics of publishers and editors will be listed where possible. Factors which led to launching and/or discontinuation of publication, economic factors, and special problems will be discussed where material is available to accurately do so. The study will also examine the significance of the newspapers in the change and growth of Emery County.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1957. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 498-507).

Thesis (M.S.)--Eastern Illinois University, 1968. / Includes bibliographical references (leaves 61-63).

No description available.

The Cortlandt Complex in New York is a composite intrusion of six mafic plutons and contains pelitic xenoliths that experienced extensive interaction with Mg-rich basaltic melt. The complex is an excellent natural example of ultra-high temperature (UHT) metamorphic processes and country rock-magma interaction due to mappable units of hybrid igneous rocks and the presence of large, partially melted, politic "emery" xenoliths. Previous attempts to understand the formation of the UHT xenoliths in the Cortlandt have provided the petrologic foundation for more rigorous thermodynamic modeling to determine the petrogenesis of these materials and to ultimately contribute to the understanding of UHT metamorphism in the Earth's crust. This work focuses on the development of hybrid monzonorites and emery at Salt Hill, located in the southeasternmost edge of the Cortlandt Complex. First, a thermobarometric study focuses on the P-T conditions of the country rock into which the Complex intruded. Pelitic schists from contact aureoles around a nearby pluton chemically and chronologically related to the complex, record high-P (~ 0.9 GPa, ~ 32 km depth) crustal conditions during pluton emplacement. This is interpreted to reflect loading due to the emplacement of Taconic allochthons during the waning stages of regional metamorphism before emplacement of the plutons. The second study uses thermodynamic heating calculations of pelitic schist to determine the production of norite and emery. Modeling results produce (i) an initial melt that produces a monzonorite composition when mixed with a mafic melt, (ii) a high-T melt that is texturally and compositionally homologous with quartzofeldspathic veins retained in the emery, and (iii) a residual mineral assemblage that, when oxidized, closely resembles the emery assemblage. Finally, focus is given to understanding the relationship between norite and emery and reflection on the mineralogy and structure of the lower crust-mantle boundary. Density calculations of the emery estimate values comparable to mantle densities, implying that rare exposure of UHT assemblages may be due to the fact the material stays at lower crustal (upper mantle?) depths. Therefore, the less-rare norite and other hybrid igneous rock occurrences may be the traces of deep, unexposed, UHT metamorphic assemblages. / Ph. D.

Au cours des 20 dernières années, la théorie du transport optimal s’est revelée être un outil efficace pour étudier le comportement asymptotique dans le cas des équations de diffusion, pour prouver des inégalités fonctionnelles et pour étendre des propriétés géométriques dans des espaces extrêmement généraux comme des espaces métriques mesurés, etc. La condition de courbure-dimension de la théorie Bakry-Emery apparaît comme la pierre angulaire de ces applications. Il suffit de penser au cas le plus simple et le plus important de la distance quadratique de Wasserstein W2 : la contraction du flux de chaleur en W2 caractérise les bornes inférieures uniformes pour la courbure de Ricci ; l’inégalité de Talagrand du transport, comparant W2 à l’entropie relative est impliquée et implique, par l’inégalité HWI, l’inégalité log-Sobolev ; les géodésiques de McCann dans l’espace de Wasserstein (P2(Rn),W2) permettent de prouver des propriétés fonctionnelles importantes comme la convexité, et des inégalités fonctionnelles standards telles que l’isopérymétrie, des propriétés de concentration de mesure, l’inégalité de Prékopa-Leindler et ainsi de suite. Néanmoins, le manque de régularité des plans minimisation nécessite des arguments d’analyse non lisse. Le problème de Schrödinger est un problème de minimisation de l’entropie avec des contraintes marginales et un processus de référence fixes. À partir de la théorie des grandes déviations, lorsque le processus de référence est le mouvement Brownien, sa valeur minimale A converge vers W2 lorsque la température est nulle. Les interpolations entropiques, solutions du problème de Schrödinger, sont caractérisées en termes de semigroupes de Markov, ce qui implique naturellement les calculs Γ2 et la condition de courbure-dimension. Datant des années 1930 et négligé pendant des décennies, le problème de Schrodinger connaît depuis ces dernières années une popularité croissante dans différents domaines, grâce à sa relation avec le transport optimal, à la regularité de ses solutions, et à d’autres propriétés performantes dans des calculs numériques. Le but de ce travail est double. D’abord, nous étudions certaines analogies entre le problème de Schrödinger et le transport optimal fournissant de nouvelles preuves de la formulation duale de Kantorovich et de celle, dynamique, de Benamou-Brenier pour le coût entropique A. Puis, en tant qu’application de ces connexions, nous dérivons certaines propriétés et inégalités fonctionnelles sous des conditions de courbure-dimension. En particulier, nous prouvons la concavité de l’entropie exponentielle le long des interpolations entropiques sous la condition de courbure-dimension CD(0, n) et la régularité du coût entropique le long du flot de la chaleur. Nous donnons également différentes preuves de l’inégalité variationnelle évolutionnaire pour A et de la contraction du flux de la chaleur en A, en retrouvant comme cas limite, les résultats classiques en W2, sous CD(κ,∞) et CD(0, n). Enfin, nous proposons une preuve simple de la propriété de concentration gaussienne via le problème de Schrödinger comme alternative aux arguments classiques tel que l’argument de Marton basé sur le transport optimal / In the past 20 years the optimal transport theory revealed to be an efficient tool to study the asymptotic behavior for diffusion equations, to prove functional inequalities, to extend geometrical properties in extremely general spaces like metric measure spaces, etc. The curvature-dimension of the Bakry-Émery theory appears as the cornerstone of those applications. Just think to the easier and most important case of the quadratic Wasserstein distance W2: contraction of the heat flow in W2 characterizes uniform lower bounds for the Ricci curvature; the transport Talagrand inequality, comparing W2 to the relative entropy is implied and implies via the HWI inequality the log-Sobolev inequality; McCann geodesics in the Wasserstein space (P2(Rn),W2) allow to prove important functional properties like convexity, and standard functional inequalities, such as isoperimetry, measure concentration properties, the Prékopa Leindler inequality and so on. However the lack of regularity of optimal maps, requires non-smooth analysis arguments. The Schrödinger problem is an entropy minimization problem with marginal constraints and a fixed reference process. From the Large deviation theory, when the reference process is driven by the Brownian motion, its minimal value A converges to W2 when the temperature goes to zero. The entropic interpolations, solutions of the Schrödinger problem, are characterized in terms of Markov semigroups, hence computation along them naturally involves Γ2 computations and the curvature-dimension condition. Dating back to the 1930s, and neglected for decades, the Schrödinger problem recently enjoys an increasing popularity in different fields, thanks to this relation to optimal transport, smoothness of solutions and other well performing properties in numerical computations. The aim of this work is twofold. First we study some analogy between the Schrödinger problem and optimal transport providing new proofs of the dual Kantorovich and the dynamic Benamou-Brenier formulations for the entropic cost A. Secondly, as an application of these connections we derive some functional properties and inequalities under curvature-dimensions conditions. In particular, we prove the concavity of the exponential entropy along entropic interpolations under the curvature-dimension condition CD(0, n) and regularity of the entropic cost along the heat flow. We also give different proofs the Evolutionary Variational Inequality for A and contraction of the heat flow in A, recovering as a limit case the classical results in W2, under CD(κ,∞) and also in the flat dimensional case. Finally we propose an easy proof of the Gaussian concentration property via the Schrödinger problem as an alternative to classical arguments as the Marton argument which is based on optimal transport