<p>We examine the Einstein equation coupled to the Klein-Gordon equation for a complex-valued scalar field. These two equations together are known as the Einstein-Klein-Gordon system. In the low-field, non-relativistic ...
<p>We calculate electromagnetic transmission through periodic gratings using a mode-matching method for solving Maxwell's equations. We record the derivation of the equations involved for several variations of the problem, ...
<p>This work deals with the problem of estimating the intrinsic dimension of noisy, high-dimensional point clouds. A general class of sets which are locally well-approximated by <italic>k</italic> dimensional planes but ...
We examine a host-pathogen model in which three types of species exist: empty sites, healthy hosts, and infected hosts. In this model six different transitions can occur: empty sites can be colonized by healthy hosts, ...
We examine a host-pathogen model in which three types of species exist: empty sites, healthy hosts, and infected hosts. In this model six different transitions can occur: empty sites can be colonized by healthy hosts, ...
<p>One of the key mechanisms that mediate renal autoregulation is the tubuloglomerular feedback (TGF) system, which is a negative feedback loop in the kidney that balances glomerular filtration with tubular reabsorptive ...
This report is an expository article that gathers and proves some of the results of a certain
unpublished paper (F. Chemotti, J. Min´aˇc, and J. Swallow. Galois module structure of square classes of units of Klein ...
<p>Noise-induced stabilization occurs when an unstable deterministic system is stabilized by the addition of white noise. Proving that this phenomenon occurs for a particular system is often manifested through the ...
<p>Gravitational lensing is the study of the bending of light by gravity. In such a scenario, light rays from a background star are deflected as they pass by a foreground galaxy (the lens). If the lens is massive enough, ...
My project, using both geometrical and statistical methods, nds an appropriate way of determining distances between scales, calculated using appropriate metrics, in the context of impressionist music.
<p>I study differential geometry of 6-manifolds endowed with various $SU(3)$ structures from three perspectives. The first is special Lagrangian geometry; The second is pseudo-Hermitian-Yang-Mills connections or more ...
<p>We consider complete asymptotically flat Riemannian manifolds that are the graphs of smooth functions over $\mathbb R^n$. By recognizing the scalar curvature of such manifolds as a divergence, we express the ADM mass ...
The Durham Center is the public agency in Durham County responsible for connecting
persons who are homeless or at risk of homelessness with the services that they need. In
February of 2008 the Durham Center began to perform ...
This paper applies several jump detection tests to intraday stock price data sampled at various
frequencies. It finds that the choice of sampling frequency has an effect on both the amount
of jumps detected by these tests, ...
<p>We introduce Hypoelliptic Diffusion Maps (HDM), a novel semi-supervised machine learning framework for the analysis of collections of anatomical surfaces. Triangular meshes obtained from discretizing these surfaces are ...
This paper investigates how changes in measures of sector and market variance affect equity variance by examining forecasts of equity variance over 1, 5, and 22 day time horizons. These forecasts were generated using ...
New mathematical models are presented for analysis of fluorescence recovery
after photobleaching (FRAP) data to account for the conical geometry of photobleaching,
for spatial variations in binding of fluorescent molecules, ...
This paper develops a theoretical model to show the effects of
simultaneously having both a competition between groups and one
among the individuals of a tournament. The players are divided up
among teams and compete for ...
<p>A GL(2,R)-structure on a smooth manifold of dimension n+1 corresponds to a distribution of non-degenerate rational normal cones over the manifold. Such a structure is called k-integrable if there exist many foliations ...