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Skip to Search Results 7Frei, Christoph (Mathematical and Statistical Sciences)
 7Kong, Linglong (Mathematical and Statistical Sciences)
 7Lewis, Mark (Mathematical and Statistical Sciences)
 6Han, Bin (Mathematical and Statistical Sciences)
 6Hillen, Thomas (Mathematical and Statistical Sciences)
 6Mizera, Ivan (Mathematical and Statistical Sciences)

Fall 2022
This thesis concerns dynamical systems subject to small noise perturbations. Our purpose is to obtain a deep understanding of how small noise perturbations influence the original unperturbed dynamical system, especially over long but finite time intervals. We consider two special systems, the...

Fall 2021
Hydrogen fuel cells convert the chemical energy of hydrogen directly into electricity, with the only byproducts being heat and water. The high cost of hydrogen fuel cells due to the expensive platinum catalyst is one of the limiting factors to their global commercialization. Improving fuelcell...

Translation operators on group von Neumann algebras and Banach algebras related to locally compact groups
DownloadFall 2010
Let $G$ be a locally compact group, $G^$ be the set of all extreme points of the set of normalized continuous positive definite functions of $G$ and $a(G)$ be the closed subalgebra generated by $G^$ in $B(G)$. When $G$ is abelian, $G^$ is the set of dirac measures of the dual group of $G$. The...

Fall 2011
Cancer is one of the major causes of death in the world. In the field of Oncology, clinical trials form the crux of medical effort to find better treatment schedules. These trials are expensive, time consuming, and carry great risks for the patients involved. Mathematical models provide a...

Fall 2012
Cholera remains epidemic and endemic in the world, causing thousands of deaths annually in locations lacking adequate sanitation and water infrastructure. Yet its dynamics are still not fully understood. An indirectly transmitted infectious disease model, called an iSIR model, was recently...

Spring 2019
Atkin and SwinnertonDyer conjectured a simple characterization of those Fuchsian groups whose modular forms have integral Fourier coefficient. It has a natural and farreaching generalization, which we will call the vASD conjecture, to vectorvalued modular forms. We confirm vASD conjecture for...

Spring 2019
Suppose $X$ is a vector lattice and there is a notion of convergence $x{\alpha} \xrightarrow{\sigma} x$ in $X$. Then we can speak of an ``unbounded" version of this convergence by saying that $x{\alpha} \xrightarrow{u\sigma} x$ if $\lvert x\alphax\rvert \wedge u\xrightarrow{\sigma} 0$ for every...

Spring 2013
It has been known that for some physical problems, a small change in the system parameters or in the initial/boundary conditions could leas to a significant change in the system response. Hence, it is of importance to investigate the impact of uncertainty on dynamical system in order to fully...

Fall 2014
Two types of robust designs, robust design against a misspeciﬁed response function and robust design against autocorrelation, are reviewed in the ﬁrst chapter of this dissertation. Among robust designs against autocorrelation, this dissertation focuses on Vrobust designs. Chapter 2 reviews and...