For a local field K, we study the affine buildings Ξ n and Δ n naturally associated to SL n ( K ) and Sp n ( K ), respectively. Since Sp n ( K ) is a subgroup of SL 2 n ( K ), we investigate properties of a natural embedding of Δ n in Ξ 2 n ....
A polynomial is a product of distinct cyclotomic polynomials if and only if it is a divisor over [Special characters omitted.] [x ] of xn - 1 for some positive integer n. In this thesis, we will examine two natural questions concerning the divisors...
We examine variations of cops and robbers games on graphs. Our goals are to introduce some randomness into their study, and to estimate (expected) capture time. We show that a cop chasing a random walker can capture him in expected time n + o(n)....
This thesis presents two-fluid simulations of forced magnetic reconnection with finite electron inertia in two and three dimensional periodic systems. Reconnection in the system is driven by a spatially localized forcing function, added to the ion...
The image of a child standing at the side of a creek and skipping stones across it exemplifies how we tend to mentally separate aquatic habitats from dry land. But there is a constant exchange of materials from land to streams, and vice-versa....
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)....
We present a number of findings concerning groupoid dynamical systems and groupoid crossed products. The primary result is an identification of the spectrum of the groupoid crossed product when the groupoid has continuously varying abelian...
The ability to forecast the weather of the geospace environment depends critically on the ability to accurately model the dynamics of the coupled magnetosphere-ionosphere (MI) system. The MI interaction involves a set of electrodynamic and plasma...
The ionosphere is the primary source for heavy ions which are ubiquitous in the terrestrial magnetosphere. Low-altitude energization in the auroral ionosphere results in bulk heating and transverse acceleration of ions, which begin to upwell and/or...
Coronary artery bypass graft (CABG) surgery is a leading treatment option for extending and/or improving the quality of life for patients suffering from heart disease. While we have witnessed improvements in mortality and morbidity secondary to...
Shape modeling is an important area in computer vision and medical imaging. Shape models have proved valuable in the tasks of object representation, recognition, and classification. This thesis focuses on shape models of 3D surfaces extracted from...
Microwave imaging (MI) is based on recovering dielectric properties (permittivity and conductivity) of materials. Over the last two decades, MI has attracted increasing interests in biomedical applications, in particular, for breast cancer...
Gene set testing has become a critical tool for interpreting the results of high-throughput genomic experiments. Despite the development of robust statistical methods and extensive gene set collections, however, the results from gene set testing...
In a variety of applications spanning mobile devices, performance computing, and even renewable energy and automotive, power management and power delivery are an increasing bottleneck in reducing size and cost, improving reliability, and even...
We start by introducing avoidance coupling of Markov chains, with an overview of existing results. We then introduce and motivate a new notion, uniform coupling. We show that the only Markovian avoidance coupling on a cycle is of this type, and...
Results from a new apparatus that records high resolution FTIR spectra in parahydrogen under 3 K are reported. A modified two-stage closed cycle refrigeration system cools a novel chamber into which gaseous helium can be condensed. The sample...
We have created an E. coli based platform for protein modification by coupling an engineered glycosylation pathway with a subsequent chemoenzymatic labeling strategy in which the glycans are oxidized to provide a bioorthogonal aldehyde group that...
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...
DAM Nov. '83 1937 Cape Ann MI Reunion Summer 1983 L to R Katie Brooks Doug Buma Jean Gray Hal Putnam Larry Brooks Al Gray Jane Brown Photo taken by Marlene Putnam