Riemannian manifolds. Singularities (Mathematics). Laplacian operator. Spectral theory (Mathematics). Riemann surfaces. Curves on surfaces. Geometry
Historically, inverse spectral theory has been concerned with the relationship between the geometry and the spectrum of compact Riemannian manifolds, where spectrum means the eigenvalue spectrum of the Laplace operator as it acts on smooth...
Magnetic resonance elastography (MRE) is a technique to produce images of the mechanical properties of tissue, which are indicative of a variety of diseases. Tissue motions measured using MRI are used to solve an inverse problem to recover...
Laser speckle monitoring is a way to measure the motion of an optically rough surface without making physical contact to that surface. Laser speckle is inherently sensitive to motion in the plane of the reflecting surface, which gives speckle...
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...
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...
Predictive control. Adaptive control systems -- Design. Airplanes -- Control systems.
A direct method to design data-based model predictive controllers is presented. The design method uses system identification techniques to identify model predictive controller gains directly from a set of excitation input and disturbance corrupted...
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...
Telecommunication -- Traffic -- Measurement -- Statistical methods. IEEE 802.11 (Standard). Universities and colleges -- Computer networks -- New Hampshire -- Hanover -- Case studies.
The edge of the Internet is increasingly wireless. Enterprises large and small, homeowners, and even whole cities have deployed Wi-Fi networks for their users, and many users never need to--or never bother to--use the wired network. With the advent...
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)....
Agent-based policy learning in complex and uncertain environments is challenged by escalating computational complexity with the size of the task space (action choices and environmental states) as well as the number of agents. Nonetheless, there is...
Epistasis (Genetics) Bioinformatics -- Methodology. Genetics -- Data processing. Medical Term Computational Biology -- methods.
A goal of human genetics is the prediction of an individual's risk of common human diseases from their genome sequence. Currently genome-wide methods to measure genetic variation across individuals exist, but methods to effectively analyze these...
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...
Brain tissue mechanics are an important biomarker for neurological disorders, yet methods to obtain tissue information yield inconsistent conclusions. These techniques can be invasive or require excised tissue, where tissue function is altered from...
Robots -- Control systems -- Design and construction. Mobile robots. Robots -- Dynamics.
This thesis examines the issues of vehicle and information dynamics in the control of a multi-robot system using a radial-basis potential function controller. Distributed control of multi-robot systems requires each robot to communicate state...
Computer input-output equipment. ; Computational grids (Computer systems). ; High performance computing. ; Electronic data processing -- Distributed processing.
High-performance computing increasingly occurs on computational grids composed of heterogeneous and geographically distributed systems of computers, networks, and storage devices that collectively act as a single virtual computer. A key challenge...
This thesis centers around a generalization of the classical discrete Fourier transform. We first present a general diagrammatic approach to the construction of efficient algorithms for computing the Fourier transform of a function on a finite...
This thesis investigates a notion of Turing reducibility introduced by Winkler [8] that is total on all computably enumerable oracles. Groszek and Weber show in [7] that this is a new notion of reducibility and it is not transitive. They give su...
In this thesis I present analyses of optical and X-ray data of early-type galaxies in nearby rich clusters as part of the NOAO Fundamental Plane Survey. Spectroscopic parameters, including linestrengths and velocity dispersions are measured for...
Automatic control -- Sensitivity. Structural control (Engineering). Strains and stresses -- Computer simulation. Structural analysis (Engineering). Engineering models.
Autonomous damage detection in engineering structures is critically important as the demands placed upon those structures are increased. It has been well established that damage detection can be done through monitoring the modal frequencies of the...
This thesis characterized the solubilities of sugar monomers and xylooligomers in water and explored the potential role of solubility for pretreatment of cellulosic Biomass by hemicellulose hydrolysis in only water. A novel apparatus was developed...
Sensor networks are used in many realtime applications for collecting information from monitored environments and objects, such as moving vehicle tracking, battlefield reconnaissance, and habitat monitoring. Sensor networks are often deployed in...
Two localized spectroscopic imaging methods were investigated to detect and discriminate microscopic pathologies at the surface of excised breast tissues in order to improve resection completeness during breast conserving surgery. A scanning in...
We present designs, theory and the results of fabrication and testing for a novel parallel microrobotic assembly scheme using stress-engineered MEMS microrobots. The robots are 240-280 Î¼m Ã— 60 Î¼m Ã— 7-20 Î¼m in size, each robot consist of a...
This thesis investigates the embedding theory of orders in central simple algebras, placing a particular emphasis on the role that the phenomenon known as selectivity plays in the theory. Although the notion of selectivity is completely algebraic,...
Self-reconfiguring (SR) robots are modular systems that can autonomously change shape, or reconfigure , for increased versatility and adaptability in unknown environments. In this thesis, we investigate planning and control for systems of...
We present new forensic tools that are capable of detecting traces of tampering in digital images without the use of watermarks or specialized hardware. These tools operate under the assumption that images contain natural properties from a variety...
Recent years have witnessed a new class of monitoring applications that need to continuously collect information from remote data sources. Those data sources, such as web click-streams, stock quotes, and sensor data, are often characterized as...
In utero exposure to maternal malnutrition is associated with increase offspring susceptibility to cardiometabolic and neuropsychiatric disease. Epigenetic mechanisms mediate, at least in part, fetal adaptations to adverse in utero environments...
Metabolic engineering of the catabolic end-product metabolism of Thermoanaerobacterium saccharolyticum was initiated. T. saccharolyticum is an anaerobic, thermophilic bacterium that utilizes xylans and xylose, the second most prominent sugar after...