In the late 1960s, Ihara began work that led to the Ihara zeta function, a zeta function which is defined on a finite graph. This function is an interesting graph invariant which gives information on expansion properties of the graph. It also...
I investigated the effects of two contemporary disturbances to soil systems: forest clearing in the northeastern U.S. and climate-driven plant succession in the Arctic. To test the effects of clear-cutting forests on mineral soil carbon (C)...
Boundary integral methods have long been used to solve boundary value problems for elliptic partial differential equations with piecewise constant coefficients, since they have several numerical advantages over conventional volume discretization....
Magnetic fields at all scales are prevalent in our universe. However, current cosmological models predict that initially the universe was bereft of large-scale fields. Standard magnetohydrodynamics (MHD) does not permit magnetogenesis; in the MHD...
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)....
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...
Microglia -- Effect of drugs on.
Morphine -- Physiological effect.
Purines -- Receptors.
Drug tolerance.
Cell culture -- Technique.
Medical Term Receptors, Purinergic P2 -- physiology.
Chronic pain is a debilitating condition which exacts severe emotional, physical and economic tolls on the millions of people who suffer from it worldwide. Opioids are a mainstay of acute, postoperative and cancer pain therapy, however, their use...
Little behavioral research, and less neural work, has examined how we process quantities like negative numbers, which are worth less than nothing and yet have value. The goal of this dissertation was to determine whether negative number processing...
Production of fuel ethanol from cellulosic materials is a potentially attractive way to meet sustainability, energy security, and environmental goals. However, the high cost of processing using current technology has thus far prevented...
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...
Bradyrhizobium japonicum forms a nitrogen-fixing symbiosis with soybean. Signaling events, such as production of flavonoids and Nod factor, initiate the interaction, leading to formation of specialized root organs called nodules. A B. japonicum...
Understanding mercury (Hg) and lead (Pb) accumulation and retention in forest soils is needed to reduce their negative impacts on human and wildlife health. In addition, mercury and lead can be used to characterize the role of soil in terrestrial...
We provide a theoretical model for a design involving a dc voltage biased Josephson junction (JJ) that strongly drives a high quality factor microwave cavity via the ac Josephson effect. We explore the rich classical dynamics of the resultant...
'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...
The thesis is dedicated to the understanding and characterization of brittle compressive fracture of columnar S2 ice. The work quantifies the strength of fresh-water S2 ice and investigates its characteristic brittle failure modes under biaxial...
Free electron lasers -- Experiments. ; Resonators -- Experiments.
A Smith-Purcell Free Electron Laser test-facility has been developed. The structure is used to conduct detailed explorations that novel resonator designs will have on tunability, start current and other performance criteria. Emphasis is on sources...
Spectral theory is the subfield of differential geometry which provided the solution to Kac''s famous question, "Can you hear the shape of a drum?" That is, can we use the Laplace spectrum of a manifold to draw conclusions about its geometry or...
Chronic neuropathic pain is a debilitating condition that exacts an emotional and physical toll on its sufferers and their family as well as an enormous monetary toll on society. Neuropathic pain can arise following nerve injury induced by trauma,...
The Cerenkov Maser radiation is examined using linear and nonlinear theory. Linear theories for the gain in the single particle and the collective limits have been given previously. In this work, we show the connections between these two operating...