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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)
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Fall 2013
When computing the essential dimension of an algebraic group G defined over a field k, finding lower bounds is generally a much more difficult problem than finding upper bounds. For simple algebraic groups G of adjoint type, Chernousov-Serre developed a general method for computing lower bounds...
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Fall 2018
Metastasis - the spread of cancer from a primary to a distant secondary location - is implicated in over 90% of all cancer related deaths. Despite its importance in patient outcome, a full understanding of the metastatic process remains elusive, largely because of the difficulty in studying the...
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Marcinkiewicz Strong Law of Large Numbers for Products of Long Range Dependent and Heavy Tailed Linear Processes
DownloadFall 2019
Classical methods of inference are often rendered inapplicable while dealing with data exhibiting heavy tails, which gives rise to infinite variance and frequent extremes, and long memory, which induces inertia in the data. In this thesis, we develop the Marcinkiewicz Strong Law of Large Numbers...
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Market with transaction costs: optimal shadow state-price densities and exponential utility maximization
DownloadFall 2009
This thesis discusses the financial market model with proportional transaction costs considered in Cvitanic and Karatzas (1996) (hereafter we use CK (1996)). For a modified dual problem introduced by Choulli (2009), I discuss solutions under weaker conditions than those of CK (1996), and...
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Mathematical modeling of HIV-1 therapeutic initiatives: shock and kill strategy in the brain and the natural control of the virus in the plasma
DownloadSpring 2024
This thesis is based on four main studies. The first two studies present a detailed methodology for completing dynamical system parameter estimation using Bayesian inference. The next two studies are about using this methodology to investigate critical human immunodeficiency virus-1 therapeutic...
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Spring 2023
Since the COVID-19 outbreak in Wuhan City in December 2019, numerous model predictions on the COVID-19 epidemics in Wuhan have been reported. These model predictions have shown a wide range of variations. In our first study, we demonstrate that nonidentifiability in model calibrations using the...
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Fall 2014
Glioblastoma Multiforme (GBM) is a grade IV brain tumour. It is the most common brain malignancy and is extremely aggressive. Ionizing radiation plays a vital role in the treatment of this tumour. Growth of the GBM is sustained by a subpopulation of the tumour cells often called the glioma stem...