Motivated by quantum mechanics and geometric optics, it is a long-standing problem whether the length spectrum of a compact Riemannian manifold can be recovered from its Laplace spectrum. One route to proving that the length spectrum depends on the...
Two alloys, Fe 55 Mn 19 Al 26 and Fe 30 Ni 20 Mn 35 Al 15 , were studied in this research project. The yield stress anomaly (YSA) of Fe 55 Mn 19 Al 26 single crystal was observed with a yield stress peak at 700 K. In situ TEM straining revealed...
This thesis contains material relating to two separate subjects. The first section determines when the C*-algebra affiliated to a directed graph has continuous trace. We use groupoid methods and the focus is on producing conditions on a graph that...
In the Firefighter Problem, a fire starts at a vertex of a graph, and in discrete time units, it spreads from burned vertices to their neighbors, unless they are protected by one of the f firefighters that are deployed every turn. Once burned or...
The multisubunit eukaryotic Mediator complex integrates diverse positive and negative gene regulatory signals and transmits them to the core transcription machinery. It is also involved in chromatin structure related epigenetic silencing through...
In large and complex networks such as the Internet and road networks, traffic routing is typically decentralized. Users in the network choose their routes independently to minimize their own delay, leading to complicated and nonintuitive outcomes...
Oligomers -- Structure -- Mathematical models. Nuclear magnetic resonance spectroscopy.
Medical Term: Nuclear Magnetic Resonance, Biomolecular.
Protein complexes play vital roles in the fundamental processes of life. In particular, homo-oligomers are involved in cell signaling, regulation, and transport. To make detailed studies of these symmetric proteins, they need to be discovered, and...
Voltage-dependent sodium channels (Na v ) are critical determinants of the ability of a neuron to generate and propagate action potentials. While a large family of Na v isoforms has been identified, the impact of specific isoforms on the electrical...
Numerical modeling of the global heliosphere provides key insights into the physics of the outer heliosphere. The solar wind data utilized by these models impacts their accuracy and should be as close as possible to the actual solar wind. Ideally,...
Strong evidence exists showing that stellar evolution models are unable to accurately predict the fundamental properties of low-mass stars. Observations of low-mass stars in detached eclipsing binaries (DEBs) indicate that stellar models...
We have a limited understanding of how an opinion is originated, how an opinion and information supporting and explaining it gets conveyed, and how the communicated opinion is perceived and processed by others. One direction of current research...
The focus of this thesis is the study of nuclearity and exactness for groupoid crossed product C*-algebras. In particular, we present generalizations of two well-known facts from group dynamical systems and crossed products to the groupoid setting....
For ordinary knots in R 3 , there are no degree one Vassiliev invariants. For virtual knots, however, the space of degree one Vassiliev invariants is infinite dimensional. We introduce a sequence of three degree one Vassiliev invariants of virtual...
This thesis considers the two special sensor networks for future sensor network design: mobile sensor networks and hybrid network of sensors and robots. To investigate two types of networks, we abstract two most important aspects that are ingrained...
The purpose of this thesis is to describe methods for detecting hidden crevasses on glaciers in Polar regions. Crevasses form in ice sheets as a result of forces imposed upon the brittle ice. The crevasses are hidden from view by bridges of soft...
Many organisms recognize and respond to categories: predator, prey, rival, or juvenile. Organisms recognize these ecologically-important categories by assessing diverse sensory stimuli. A primary focus of my research has been understanding how...
Operating systems and low-level applications are usually written in languages like C and assembly, which provide access to low-level abstractions. These languages have unsafe type systems that allow many bugs to slip by programmers. For example, in...
Some biomacromolecules require a metal co-factor to stabilize their physiologically active three-dimensional structure. The fundamental thermodynamic values of the binding of metal ions, particularly Zn2+, to a set of biomacromolecules have been...
The accelerated expansion of space in the Universe has been known for two decades. However, finding a plausible theory that describes this expansion is more difficult: Taking general relativity for granted requires us to stipulate the existence of...
The proliferation of mobile devices and other consumer products has greatly expanded the market for CMOS image sensors. This in turn has promoted a trend of continued improvement in image sensor performance, as companies seek to gain an advantage...
'Orthogonal modular forms are algebraic modular forms arising from lattices in quadratic spaces. In this thesis, we define orthogonal modular forms, establish their basic properties, and then apply them to a case of ternary quadratic spaces to...
In this thesis we develop a theory of Fourier analysis and fast Fourier transforms (FFTs) for finite inverse semigroups. Our results generalize results in the theory of Fourier analysis for finite groups. There is a general method for generating...
Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
Brain -- Tomography. Magnetic resonance imaging -- Brain. Near infrared spectroscopy. Image processing -- Digital techniques.
Diffuse optical tomography (DOT) using near infrared (NIR) light has become a promising modality because it has the capability to non-invasively quantify oxygen saturation and hemoglobin content with potentially high temporal resolution and...
Geology -- Guatemala -- Lake Atitlan area; Volcanism -- Guatemala -- Lake Atitlan area; Calderas -- Guatemala -- Lake Atitlan area.
Geological mapping, petrological and geophysical studies in the lake Atitlan area, Guatemala, have revealed four distinct periods of stratovolcano growth, each followed by major silicic eruptions and caldera collapse. The first period (12 - 11 my...
Chapter One. Synthesis and Structure of Chiral Pt(Duphos) Terminal Phosphido Complexes. Treatment of Pt halide precursors with a secondary phosphine in the presence of the base NaOSiMe 3 gave the terminal phosphido complexes Pt(Duphos)(Ph)(PMeIs)....
The study of twin primes gives rise to several famously difficult problems in number theory--in fact, we still cannot definitively say whether there are infinitely many twin primes. In this work, we consider a related problem, namely: What is the...
Automated trust negotiation is a new approach to access control and authentication for the open systems such as the Internet, where sensitive interactions sometimes occur among entities with no prior knowledge of each other. Trust negotiation...
Immunoglobulins -- Synthesis. -- Escherichia coli -- Biotechnology -- Protein engineering -- Breast -- Cancer -- Immunotherapy.
The ability to site-specifically modify therapeutic proteins for the attachment of pharmacokinetic-enhancing molecules is the principal goal of many research programs. Site-specific modalities are often introduced to provide an additional...
The completion of the Human Genome Project in 2003 and the HapMap Project in 2005 has broadened the spectrum of genetic research tools that allow researchers to conduct genome-wide association studies (GWAS) for detecting genetic variants that...
The Border Gateway Protocol (BGP) facilitates communication between parts of the Internet by determining paths by which data can get from one network to any other. Just as IP is used ubiquitously as an addressing scheme, BGP is used ubiquitously...
Coal combustion remains an important source of toxic metal emissions. Dilute concentrations and poor understanding of their chemistries hinders reduction of these emissions. This thesis examines the chemistry of the trace metals arsenic and mercury...