Spectral graph theory with applications to quantum adiabatic optimization

In this dissertation I draw a connection between quantum adiabatic optimization, spectral graph theory, heat-diffusion, and sub-stochastic processes through the operators that govern these processes and their associated spectra. In particular, we study Hamiltonians which have recently become known as ``stoquastic'' or, equivalently, the generators of sub-stochastic processes. The operators corresponding to these Hamiltonians are of interest in all of the settings mentioned above. I predominantly explore the connection between the spectral gap of an operator, or the difference between the two lowest energies of that operator, and certain equilibrium behavior. In the context of adiabatic optimization, this corresponds to the likelihood of solving the optimization problem of interest. I will provide an instance of an optimization problem that is easy to solve classically, but leaves open the possibility to being difficult adiabatically. Aside from this concrete example, the work in this dissertation is predominantly mathematical and we focus on bounding the spectral gap. Our primary tool for doing this is spectral graph theory, which provides the most natural approach to this task by simply considering Dirichlet eigenvalues of subgraphs of host graphs. I will derive tight bounds for the gap of one-dimensional, hypercube, and general convex subgraphs. The techniques used will also adapt methods recently used by Andrews and Clutterbuck to prove the long-standing ``Fundamental Gap Conjecture''.

Excluding mammalian predators from diamondback terrapin nesting beaches with an electric fence

Gemstone Team Saving Testudo

Glutamine supplementation and renal health

Gemstone Team Juiced

VIXEN, VIRGIN, AND GODDESS: PERFORMANCE PRACTICE AND THE BAROQUE HEROINE

This dissertation comprises performance of three soprano roles in Baroque musical theater pieces, recorded on compact disc. These roles are "Poppea" in The Coronation of Poppea (1642) of Claudio Monteverdi (a filly-produced staging of the 1989 Alan Curtis critical edition in English translation, with the Maryland Opera Studio at the Kay Theater, Clarice Smith Performing Arts Center, University of Maryland, College Park, Maryland, May 3 and 6, 2002; Ken Slowik, conductor); "Galatea" in Acis and Galatea (1718) of George Friederich Handel (a staged reading at Gildenhorn Recital Hall, Clarice Smith Performing Arts Center, University of Maryland, College Park, Maryland, May 29,2003; Edward Maclary, conductor); and "Miecke" (Soprano Soloist) in Mer hahn en neue Oberkeet (Peasant Cantata), BWV 212 (1742) of Johann Sebastian Bach (a staged and costumed performance with the Washington Bach Consort at Rachel M. Schlesinger Concert Hall, Alexandria, Virginia, February 2,2003; J. Reilly Lewis, conductor). In addition to performing these three roles, I was the stage director for the reading of Acis and Galatea. Close readings of the libretti, examination of contemporary guides to ornamentation, and research into production histories inform the improvisatory ornamentation found in these compact disc recordings.

Implementation of customer relationship management and inventory control software: a multiple case study of small retailers

Gemstone Team Small Business Solutions

The tithe: Public research university STEM faculty perspectives on sponsored research indirect costs

This study sought to understand the phenomenon of faculty involvement in indirect cost under-recovery. The focus of the study was on public research university STEM (science, technology, engineering and mathematics) faculty, and their perspectives on, and behavior towards, a higher education fiscal policy. The explanatory scheme was derived from anthropological theory, and incorporated organizational culture, faculty socialization, and political bargaining models in the conceptual framework. This study drew on two key assumptions. The first assumption was that faculty understanding of, and behavior toward, indirect cost recovery represents values, beliefs, and choices drawn from the distinct professional socialization and distinct culture of faculty. The second assumption was that when faculty and institutional administrators are in conflict over indirect cost recovery, the resultant formal administrative decision comes about through political bargaining over critical resources. The research design was a single site, qualitative case study with a focus on learning the meaning of the phenomenon as understood by the informants. In this study the informants were tenured and tenure track research university faculty in the STEM fields who were highly successful at obtaining Federal sponsored research funds, with individual sponsored research portfolios of at least one million dollars. The data consisted of 11 informant interviews, bolstered by documentary evidence. The findings indicated that faculty socialization and organizational culture were the most dominant themes, while political bargaining emerged as significantly less prominent. Public research university STEM faculty are most concerned about the survival of their research programs and the discovery facilitated by their research programs. They resort to conjecture when confronted by the issue of indirect cost recovery. The findings direct institutional administrators to consider less emphasis on compliance and hierarchy when working with expert professionals such as science faculty. Instead a more effective focus might be on communication and clarity in budget processes and organizational decision-making, and a concentration on critical administrative support that can relieve faculty administrative burdens. For higher education researchers, the findings suggest that we need to create more sophisticated models to help us understand organizations dependent on expert professionals.