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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)

The Strong Restricted Isometry Property of SubGaussian Matrices and the Erasure Robustness Property of Gaussian Random Frames
DownloadSpring 2016
In this thesis we will study the robustness property of subgaussian random matrices. We first show that the nearly isometry property will still hold with high probability if we erase a certain portion of rows from a subgaussian matrix, and we will estimate the erasure ratio with a given small...

The Spread of the Mountain Pine Beetle: Challenges and Solutions in Largescale Spatial Ecological Modeling
DownloadSpring 2020
The mountain pine beetle (MPB) is among the most destructive eruptive forest pests in North America. A recent increase in the frequency and severity of oubtreaks, combined with an eastward range expansion towards untouched boreal pine forests, has spurred a great interest by government, industry...

Fall 2012
In this thesis, we generalize the notion of asymptotically hyperbolic mass (first introduced by Wang in 2001) to manifolds with toroidal ends. Using this generalized definition, we show that under a normalized Ricci flow with asymptotically hyperbolic, conformally compact initial data with a...

Fall 2014
In this work we will construct the table of irreducible characters for the group of unitary 2 x 2 matrices over a finite field. The table and the methods for its construction will show interesting connections to the table and methods of construction of the table of irreducible characters for the...

Spring 2016
In this thesis we address several questions around mirror symmetry for Fano manifolds and CalabiYau varieties. Fano mirror symmetry is a relationship between a Fano manifold X and a pair (Y,w) called a LandauGinzburg model, which consists of a manifold Y and a regular function w on Y. The goal...

Fall 2014
This thesis focuses on characterizing the optimal consumption and investment strategy for an investor, in a simple financial market, when his consumption habit is considered in the utility formulation. We consider a continuoustime market model for which we maximize the overall utility within an...

The Effectiveness of Tuberculosis Control Strategies that Target Social Determinants of Health in Three First Nations and Métis Communities: A Mathematical Modeling Approach
DownloadFall 2017
BACKGROUND: Despite the overall decline in tuberculosis (TB) incidence in Canada, rates among Indigenous peoples have not decreased since the late 1990s. Ongoing transmission associated with the time from the onset of symptoms to treatment have been identified as major contributor to the...

Spring 2023
Credit risk management, which deals with mitigating losses from lending activities, is crucial for financial institutions. Hence, credit risk modelling can be employed to reduce potential losses and avoid financial crises. There are sometimes monotonic relationships in credit risk models, which...

Spring 2015
For matchedpair data with a multinomial reponse, the StuartMaxwell 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...