This study examines the forces which shaped the main character--Tess Durbeyfield--in Hardy's novel in terms of the effects which her alcoholic family had upon her mental and emotional potential and which ultimately become the determining factors in her self-destruction. Using the elements and patterns set forth in the literature regarding the dynamics of the alcoholic family, I attempt to show that Hardy's novel may best be understood as the story of a woman whose life and destiny are controlled by the consequences of her father's alcoholism. This interpretation seems to account best for many elements of the novel, such as Tess's destruction, and provides a rich appreciation of Hardy's technique and vision.

1 Abstract Long overlooked, the poetry of Edward Thomas (1878-1917) has enjoyed wide recognition in the past few decades. The same cannot be said of Thomas's criticism. Though he worked as a literary journalist for almost a decade and a half, critics have mainly focused on the final years of his life when, after the outset of the First World War, he voluntarily enlisted in the Artist's Rifles and began writing poetry. He died in France, at the Battle of Arras. Since his youth, Thomas suffered from depression, possibly made worse by the demands of his profession (some years he reviewed over a hundred books). In contrast, the last stretch of his life seems to have been more fulfilling. Not only did military training prove beneficial for his mental health, but - encouraged by a number of his friends, including Robert Frost and W. H. Hudson - he metamorphosed from overworked hack-writer (as some still refer to him) to outstanding poet. As most of his criticism precedes his poetry, scholars usually look at Thomas's reviews, anthologies, and literary studies to better understand his 144 poems. While it is important to explore the links between his poetry and rest of his work, Thomas's criticism is strong and extensive enough to be considered independently of the poetry. His books and articles may illuminate his...

The purpose of this study is to demonstrate that the concept of a godless universe governed by a consciousless and conscienceless Immanent Will in Hardy's poetry is an ineluctable outcome, given the expanded scientific knowledge of the nineteenth century, of the pantheistic views of the English Romantic poets. The purpose is accomplished by tracing characteristically Romantic attitudes through the representative poetry of the early Victorian period and in Hardy's poetry. The first chapter is a brief introduction. Chapter II surveys major Romantic themes, illustrating them in Wordsworth's poetry. Chapter III treats the decline of the Romantic vision in the poetry of Tennyson and Arnold. Hardy's views and the Victorian poets' influence are the subject of Chapter IV. Chapter V demonstrates Wordsworth's influence on Hardy in several areas.

This song cycle consists of ten settings, and has been divided into two parts by the composer. Each part is preceded by a short quotation in Latin which has been inserted by the composer. The two parts of the cycle are evidently meant to typify the division of a human life into the periods of youth and old age. The Latin quotations which divide the cycle into its two parts are taken from the Latin Vulgate version of the Bible, Psalm 89, verse six.

Cette thèse présente quelques résultats de la théorie des probabilités non commutatives, et traite en particulier des inégalités de martingales dans des algèbres de von Neumann et de leurs espaces de Hardy associés. La première partie démontre un analogue non commutatif de la décomposition de Davis faisant intervenir la fonction carrée. Les arguments classiques de temps d'arrêt ne sont plus valides dans ce cadre, et la preuve se base sur une approche duale. Le deuxième résultat important de cette partie détermine ainsi le dual de l'espace de Hardy conditionnel h_1(M). Ces résultats sont ensuite étendus au cas 1<p<2. La deuxième partie transfère une décomposition atomique pour les espaces de Hardy h_1(M) et H_1(M) aux martingales non commutatives. Des résultats d'interpolation entre les espaces h_p(M) et bmo(M) sont également établis, relativement aux méthodes complexe et réelle d'interpolation. Les deux premières parties concernent des filtrations discrètes. Dans la troisième partie, on introduit des espaces de Hardy de martingales non commutatives relativement à une filtration continue. Les analogues des inégalités de Burkholder/Gundy et de Burkholder/Rosenthal sont obtenues dans ce cadre. La dualité de Fefferman-Stein ainsi que la décomposition de Davis sont également transférées avec succès à cette situation. Les preuves se basent sur des techniques d'ultraproduit et de L_p-modules. Une discussion sur une décomposition impliquant des atomes algébriques permet d'obtenir les résultats d'interpolation attendus / This thesis presents some results of the theory of noncommutative probability. It deals in particular with martingale inequalities in von Neumann algebras, and their associated Hardy spaces. The first part proves a noncommutative analogue of the Davis decomposition, involving the square function. The usual arguments using stopping times in the commutative case are no longer valid in this setting, and the proof is based on a dual approach. The second main result of this part determines the dual of the conditioned Hardy space h_1(M). These results are then extended to the case 1<p<2. The second part proves that an atomic decomposition for the Hardy spaces h_1(M) and H_1(M) is valid for noncommutative martingales. Interpolation results between the spaces h_p(M) and bmo(M) are also established, with respect to both complex and real interpolations. The two first parts concern discrete filtrations. In the third part, we introduce Hardy spaces of noncommutative martingales with respect to a continuous filtration. The analogues of the Burkholder/Gundy and Burkholder/Rosenthal inequalities are obtained in this setting. The Fefferman-Stein duality and the Davis decomposition are also successfully transferred to this situation. The proofs are based on ultraproduct techniques and L_p-modules. A discussion about a decomposition involving algebraic atoms gives the expected interpolation results

Dans cette thèse, nous étudions des problèmes aux limites pour les systèmes elliptiques sous forme divergence avec coefficients complexes dans L^{infty}. Nous prouvons des estimations a priori, discutons de la solvabilité et d'extrapolation de la solvabilité. Nous utilisons une transformation via des équations Cauchy-Riemann généralisées due à P. Auscher, A. Axelsson et A. McIntosh. On peut résoudre les équations Cauchy-Riemann généralisées via la semi-groupe engendré par un opérateur différentiel perturbé d'ordre un de type Dirac. A l'aide du semi-groupe, nous étudions la théorie L^{p} avec une discussion sur la bisectorialité, le calcul fonctionnel holomorphe et les estimations hors-diagonales pour des opérateurs dans le calcul fonctionnel. En particulier, nous développons une théorie L^{p}-L^{q} pour des opérateurs dans le calcul fonctionnel d'opérateur de type Dirac perturbé. Les problèmes de Neumann, Régularité et Dirichlet se formulent avec des estimations quadratiques et des estimations pour la fonction maximale nontangentielle. Cela conduit à à démontrer de telles estimations pour le semi-groupe d'opérateur de Dirac Pour cela, nous utilisons les espaces Hardy associés et les identifions dans certains cas avec des sous-espaces des espaces de Hardy et Lebesgue classiques. Nous obtenons enfin des estimations a priori pour les problème aux limites via une extension utilisant des espaces de Sobolev associés. Nous utilisons les estimations a priori pour une discussion sur la solvabilité des problèmes aux limites et montrer un théorème d'extrapolation de la solvabilité. / In this this thesis we study boundary value problems for elliptic systems in divergence form with complex coefficients in L^{\infty}. We prove a priori estimates, discuss solvability and extrapolation of solvability. We use a transformation to generalized Cauchy-Riemann equations due to P. Auscher, A. Axelsson, and A. McIntosh. The generalized Cauchy-Riemann equations can be solved by the semi-group generated by a perturbed first order Dirac/differential operator. In relation to semi-group theory we setup the L^p theory by a discussion of bisectoriality, holomorphic functional calculus and off-diagonal estimates for operators in the functional calculus. In particular, we develop an L^p-L^q theory for operators in the functional calculus of the first order perturbed Dirac/differential operators. The formulation of Neumann, Regularity and Dirichlet problems involve square function estimates and nontangential maximal function estimates. This leads us to discuss square function estimates and nontangential maximal function estimates involving operators in the functional calculus of the perturbed first order Dirac/differential operator. We discuss the related Hardy spaces associated to operators and prove identifications by subspaces of classical Hardy and Lebesgue spaces. We obtain the a priori estimates by an extension of the square function estimates and nontangential maximal function estimates to Sobolev spaces associated to operators. We use the a priori estimates for a discussion of solvability and extrapolation of solvability.

Dans cette thèse nous étudions les transformées de Riesz et les espaces de Hardy associés à un opérateur sur un espace métrique mesuré. Ces deux sujets sont en lien avec des estimations du noyau de la chaleur associé à cet opérateur. Dans les Chapitres 1, 2 et 4, on étudie les transformées quasi de Riesz sur les variétés riemannienne et sur les graphes. Dans le Chapitre 1, on prouve que les quasi transformées de Riesz sont bornées dans Lp pour 1<p<2. Dans le Chapitre 2, on montre que les quasi transformées de Riesz est aussi de type faible (1,1) si la variété satisfait la propriété de doublement du volume et l'estimation sous-gaussienne du noyau de la chaleur. On obtient des résultats analogues sur les graphes dans le Chapitre 4. Dans le Chapitre 3, on développe la théorie des espaces de Hardy sur les espaces métriques mesurés avec des estimations différentes localement et globalement du noyau de la chaleur. On définit les espaces de Hardy par les molécules et par les fonctions quadratiques. On montre tout d'abord que ces deux espaces H1 sont les mêmes. Puis, on compare l'espace Hp défini par par les fonctions quadratiques et Lp. On montre qu'ils sont équivalents. Mais on trouve des exemples tels que l'équivalence entre Lp et Hp défini par les fonctions quadratiques avec l'homogénéité t2 n'est pas vraie. Finalement, comme application, on montre que les quasi transformées de Riesz sont bornées de H1 dans L1 sur les variétés fractales. Dans le Chapitre 5, on prouve des inégalités généralisées de Poincaré et de Sobolev sur les graphes de Vicsek. On montre aussi qu'elles sont optimales. / In this thesis, we mainly study Riesz transforms and Hardy spaces associated to operators. The two subjects are closely related to volume growth and heat kernel estimates. In Chapter 1, 2 and 4, we study Riesz transforms on Riemannian manifold and on graphs. In Chapter 1, we prove that on a complete Riemannian manifold, the quasi Riesz transform is always Lp bounded on for p strictly large than 1 and no less than 2. In Chapter 2, we prove that the quasi Riesz transform is also weak L1 bounded if the manifold satisfies the doubling volume property and the sub-Gaussian heat kernel estimate. Similarly, we show in Chapter 4 the same results on graphs. In Chapter 3, we develop a Hardy space theory on metric measure spaces satisfying the doubling volume property and different local and global heat kernel estimates. Firstly we define Hardy spaces via molecules and via square functions which are adapted to the heat kernel estimates. Then we show that the two H1 spaces via molecules and via square functions are the same. Also, we compare the Hp space defined via square functions with Lp. The corresponding Hp space for p large than 1 defined via square functions is equivalent to the Lebesgue space Lp. However, it is shown that in this situation, the Hp space corresponding to Gaussian estimates does not coincide with Lp any more. Finally, as an application of this Hardy space theory, we proved that quasi Riesz transforms are bounded from H1 to L1 on fractal manifolds. In Chapter 5, we consider Vicsek graphs. We prove generalised Poincaré inequalities and Sobolev inequalities on Vicsek graphs and we show that they are optimal.

A dissertação apresenta os resultados obtidos com o desenvolvimento de um programa de computação abrangente em interface gráfica para ambiente Windows visando a estimativa de parâmetros de interesse genético-populacional (freqüências alélicas, respectivos erros-padrão e intervalos de confiança a 95%) e o teste de hipóteses genéticas (equilíbrio de Hardy-Weinberg e análise de estruturação hierárquica populacional), por meio de métodos tradicionais e por meio de testes exatos obtidos com procedimentos de simulação (bootstrap e jackknife). / The dissertation presents the results obtained with the development of a comprehensive computation program (software), running on the Windows (MS) graphic interface, with the aim of: (a) estimating parameters of population genetic interest (such as allelic frequencies and their corresponding standard errors and 95% confidence intervals); and (b) performing the testing of genetic hypotheses (Hardy-Weinberg population ratios and analysis of population hierarchical structure) by means of traditional methods as well as through exact tests obtained with computer simulation procedures (bootstrap and jackknife methods).

‘The poet’, Eliot wrote, ‘is occupied with frontiers of consciousness beyond which words fail, though meanings still exist’. This dissertation is an investigation into the ways in which four poets – Alfred Tennyson, Thomas Hardy, Gerard Manley Hopkins, and T. S. Eliot – imagine what it might mean to labour in verse towards the ‘frontiers of consciousness’. This is an old question about the value of poetry, about the kinds of understanding, feeling, and participation that become uniquely available as we read (or write) verse. But it is also a question that becomes peculiarly pressing in the nineteenth- and early twentieth-centuries. In my introductory chapter, I sketch out some of the philosophical, theological, and aesthetic contexts in which this question about what poetry might do for us becomes particularly acute: each of these four poets, I suggest, invests in verse as a means of sustaining belief in those things that seem excluded, imperilled, or forfeited by what is felt to be a peculiarly modern or (to use a contested term) ‘secularized’ understanding of the world. To write poetry becomes a labour towards enabling or ratifying otherwise untenable experiences of belief. But while my broader concern is with what is at stake philosophically, theologically, and even aesthetically in this labour towards the frontiers of consciousness, my more particular concern is with the ways in which these poets think in verse about how the poetic organisation of language brings us to momentary consciousness of otherwise unavailable ‘meanings’. For each of these poets, it is as we begin to listen in to the paralinguistic sounds of verse that we become conscious of that which lies beyond the realms of the linguistic imagination. These poets develop figures within their verse in order to theorize the ways in which this peculiarly poetic ‘music’ brings us to consciousness of that which exceeds or transcends the limits of the world in which we think we live. These figures begin as images of the half-seen (glimmering, haunting, dappling, crossing) but become a way of imagining that which we might only half-hear or half-know. Chapter 2 deals with Tennyson’s figure of glimmering light that signals the presence, activity, or territory of the ‘higher poetic imagination’; In Memoriam, I argue, represents the development of this figure into a poetics of the ‘glimpse’, a poetry that repeatedly approaches the horizon of what might be seen or heard. Chapter 3 is concerned with Hardy’s figuring of the ‘hereto’ of verse as a haunted region, his ghostly figures and spectral presences becoming a way of thinking about the strange experiences of listening and encounter that verse affords. Chapter 4 attends to the dappled skins and skies of Hopkins’ verse and the ways in which ‘dapple’ becomes a theoretical framework for thinking about the nature and theological significance of prosodic experience. And Chapter 5 considers the visual and acoustic crossings of Eliot’s verse as a series of attempts to imagine and interrogate the proposition that the poetic organisation of language offers ‘hints and guesses’ of a reality that is both larger and more significant than our own.

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