There is a well-established relationship between socioeconomic position (SEP) and health among older adults, but a short-coming of existing research is its failure to link the SEP-health relationship in later life to the gendered histories of work and family life, or the policy contexts in which these histories unfold. Drawing on the life course perspective and welfare state theory, this research investigates: the dominant patterns of labour market and family experiences over the life course for current cohorts of older adults in Britain; whether health dynamics among older adults vary by gender and life course experiences; and whether SEP and social roles at age 65 mediate these relationships. The data come from a sample of individuals born between 1927 and 1940 participating in the British Household Panel Survey (N=1552). I first examined life course experiences in the labour market and the family from young adulthood to retirement age using a two-stage latent class analysis. Theoretical considerations, along with indices of model fit, suggested that four latent life paths broadly characterized the experiences of the older adults in this sample. Consistent with the social policy context in Britain in the post-World War II years, I found evidence of distinct gender patterns in role configurations at various points across the life course and in the life pathways that link these experiences over time. In the second part of the analysis, I assessed health dynamics using latent growth curve models. Only mental health dynamics were patterned by life course histories, and SEP at age 65 mediated part of this relationship. The life course histories did not have an independent influence on trajectories of chronic health problems or self-assessed health. These findings are considered in the context of our current understanding of health dynamics among older adults, including gender differences and their relationship to SEP.

Thesis (Ph. D.)--University of Missouri-Columbia, 1999. / Typescript. Vita. Includes bibliographical references (leaves 79-83). Also available on the Internet.

Thesis (Ph. D.)--University of Missouri-Columbia, 1999. / Typescript. Vita. Includes bibliographical references (leaves 79-83). Also available on the Internet.

We prove a new bound on a version of the sum-product problem studied by Chang. By introducing several combinatorial tools, this expands upon a method of Croot and Hart which used the Tarry-Escott problem to build distinct sums from polynomials with specific vanishing properties. We also study other aspects of the sum-product problem such as a method to prove a dual to a result of Elekes and Ruzsa and a conjecture of J. Solymosi on combinatorial geometry. Lastly, we study two combinatorial problems on sumsets over the reals. The first involves finding Freiman isomorphisms of real-valued sets that also preserve the order of the original set. The second applies results from the former in proving a new Balog-Szemeredi type theorem for real-valued sets.

No description available.

The work presented in this thesis revolves around spectral inequalities and their applications in quantum mechanics. In Paper A, the ground state energy of an atom confined to two dimensions is analyzed in the limit when the charge of the nucleus Z becomes very large. The main result is a two-term asymptotic expansion of the ground state energy in terms of Z. Paper B deals with Hardy inequalities for the kinetic energy of a particle in the presence of an external magnetic field. If the magnetic field has a non-trivial radial component, we show that Hardy’s classical lower bound can be improved by an extra term depending on the magnetic field. In Paper C we study interacting Bose gases and prove Lieb-Thirring type estimates for several types of interaction potentials, such as the hard-sphere interaction in three dimensions, the hard-disk interaction in two dimensions as well as homogeneous potentials. / <p>QC 20140520</p>

No description available.

Thesis (Ph. D.)--University of Missouri-Columbia, 1997. / Typescript. Vita. Includes bibliographical references (leaves 63-64). Also available on the Internet.

Thesis (Ph. D.)--University of Missouri-Columbia, 1997. / Typescript. Vita. Includes bibliographical references (leaves 63-64). Also available on the Internet.

For an inequality system, an error bound is an estimation for the distance from any point to the solution set of the inequality. The Ekeland variational principle (EVP) is an important tool in the study of error bounds. We prove that EVP is equivalent to an error bound result and present several sufficient conditions for an inequality system to have error bounds. In a metric space, a condition is similar to that of Takahashi. In a Banach space we express conditions in terms of an abstract subdifferential and the lower Dini derivative. We then discuss error bounds with exponents by a relation between the lower Dini derivatives of a function and its power function. For an l.s.c. convex function on a reflexive Banach space these conditions turn out to be equivalent. Furthermore a global error bound closely relates to the metric regularity. / Graduate