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Fall 2019
This thesis focuses on the measure algebra M(S) of a locally compact semitopological semigroup S. In particular, we consider the analog of the group algebra L1(G) of a locally compact group G on S and the topological amenability of S. Among other results which shall be explained further in...
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Fall 2019
In the Journal of Algebra 323(2010) R. Barrington Leigh et al. derive the characters of the group of invertible 2 x 2 matrices over the integers modulo a power of an odd prime. We will generalize to certain local rings, and take quadratic extensions of this ring , by adjoining the root of a...
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Fall 2019
In the framework of topological recursion (TR), the quantum curve conjecture relates the initial spectral curve to a differential equation – the quantum curve – satisfied by the TR wave-function. Several admissibility conditions have been put forward to explain which input of spectral curve...
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Fall 2019
Recently, a new accounting standard was established, namely the International Financial Reporting Standard 9, requiring banks to build provisions using forward-looking expected loss models. When there is a significant increase in credit risk of a loan, additional provisions must be charged to the...
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Fall 2019
BACKGROUND: Achieving an appropriate gestational weight gain (GWG) is important during pregnancy. Inadequate and excessive GWG have been linked to various negative pregnancy outcomes and future health issues for both the mother and fetus. One useful intervention is to provide individualized...
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Fall 2019
One of the main difficulties in extending Macdonald’s theory of spherical functions from p-adic Chevalley groups to p-adic Kac-Moody groups is the absence of Haar measure in the infinite dimensional case. Related to this problem is the question of how to generalize the integral defining...
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Fall 2019
High dimensional classification has drawn massive attention due to its increasing application in genetic diagnosis, image or speech recognition and financial analysis. Traditional methods such as Linear Discriminant Analysis (LDA) and Quadratic Discriminant Analysis (QDA), which are optimal Bayes...
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Fall 2019
Integrodifference equations are a common tool used in ecology to model the spread of populations. In this thesis, I explore the neutral genetic patterns formed by range expansions and how dispersal-reproduction trade-offs impact the spread of populations. In Chapter 2, we investigate the inside...
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Fall 2019
Prostate cancer is one of the most common cancers among men in the world (excluding non-melanoma skin cancers). According to the statistics from the Canadian Cancer Society, it is the third leading cause of death from cancer in men in Canada. In general, prostate cancer is treatable with 5-year...
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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...