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- 5Frei, Christoph (Mathematical and Statistical Sciences)
- 5Kong, Linglong (Mathematical and Statistical Sciences)
- 5Mizera, Ivan (Mathematical and Statistical Sciences)
- 4Han, Bin (Mathematical and Statistical Sciences)
- 4Karunamuni, Rohana (Mathematical and Statistical Sciences)
- 4Lau, Anthony To-Ming (Mathematical and Statistical Sciences)
Solar updraft towers offers a simple and alternative method of generating electricity. However, it is unclear on how to build a tall, free standing structure that can withstand the unpredictable and destructive force of the wind. A tower consisting of stacked inflatable toroidal elements have...
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...
The first part of this thesis presents an exposition of some of the links between integrability, matrix models and Airy structures. We first introduce the notion of an integrable hierarchy and a tau function. We then probe tau functions further by considering matrix integrals. These are...
Movement ecology thrives from a successful synergy of data and models. In a field where experiments are difficult or impossible, linking field data with mathematical and statistical models allows us to test hypotheses and increase our quantitative understanding of movement processes. Owing to...
Ferrofluids are liquids with a magnetic colloid suspended by Brownian motion which become magnetized in the presence of an external magnetic field. They have recently garnered a lot of interest due to their wide range of applications in industry and biomedicine. For example, ferrofluids are used...
This thesis introduces a new temporally second-order accurate direction-splitting scheme for implicitly solving parabolic or elliptic partial differential equations in complex-shaped domains. While some other splitting schemes can be unstable in such domains, numerical evidence suggests that the...
In this thesis, we study the partial quantile regression methods in functional data analysis. In the first part, we propose a prediction procedure for the functional linear quantile regression model by using partial quantile covariance techniques and develop a simple partial quantile regression...
For matched-pair data with a multinomial reponse, the Stuart-Maxwell test (1955, 1970) and the Bhapkar test (1966) are commonly used to test the marginal homogeneity. However, in medical research, many studies for assess- ing safety consider multiple multinomial endpoints to detect the treatment...
In this thesis we organize the contents in three parts. The first part is about portfolio rebalancing with changing benchmarks and the second part is about modeling of fractional Brownian motion in financial market while the last part is the conclusion. In the first part, we introduce...