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- 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)
Despite the ubiquity of physical systems evolving on time-dependent spatial domains ranging from crystal growth, formation of patterns and shapes in biology and living organisms – animals skin patterns, tentacle patterns on Hydra, whorled leaves, teeth primordia in the alligator – to...
Spatial heterogeneity is an important characteristic of large-scale composting, however, only a few spatial models for composting exist to date. In this thesis, a novel spatial model for composting is developed. The model is applicable for any one-, two-, or three-dimensional pile geometry. It...
Piecewise affine functions as defined by Aliprantis and Tourky and denoted by the set S are those functions in C(R^m) that agree with a finite number of affine functions. In this thesis, we extend their study by introducing the set of locally piecewise affine functions denoted by S_lp. Unlike...
This thesis develops three major essays on Arbitrage Theory, Market’s Viabil- ity and Informational Markets. The first essay (Chapter 3) elaborates the exact connections among the No-Unbounded-Profit-with-Bounded-Risk (called NUPBR hereafter) condition, the existence of the numeraire portfolio,...
We discuss non-parametric shape constrained density estimation methods in univariate setting and their applications to the classic Gaussian compound decision problem. The original contribution of the thesis is establishing various important consistency results of the shape constrained density...
This thesis develops an optimal interpolation method that takes daily precipitation values collected from weather stations and produces precipitation estimates on a grid. The method, called Hybrid 2.0, combines EOF-based linear interpolation with the nearest-station method. Gridded monthly...
In this thesis, we construct a non-local transport model that describes the evolution of microtubules (MTs) as they interact with motor proteins. MTs, whose organization is crucial for normal cellular development, have been found to organize into various patterns in vitro and in vivo through...
BACKGROUND: Healthy dietary intake and appropriate weight gain are two key components of an ideal pregnancy. The objective of this thesis was to investigate the weight gain pattern of a large cohort of pregnant women and its association with dietary intakes, which may provide valuable information...
In this thesis a mathematical model of HIV transmission and diagnosis is used to estimate the total size of the HIV-positive population and the HIV incidence from HIV case report data for the Province of Alberta. Worldwide, estimates of the size of the HIV-positive population are used to...
When a semi-infinite body of homogeneous fluid initially at rest behind a vertical retaining wall is suddenly released by the removal of the barrier the resulting flow over a horizontal or sloping bed is referred to as a dam-break flow. When resistance to the flow is neglected the exact...