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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)
The Strong Restricted Isometry Property of Sub-Gaussian Matrices and the Erasure Robustness Property of Gaussian Random FramesDownload
In this thesis we will study the robustness property of sub-gaussian 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 sub-gaussian matrix, and we will estimate the erasure ratio with a given small...
The Spread of the Mountain Pine Beetle: Challenges and Solutions in Large-scale Spatial Ecological ModelingDownload
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...
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...
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...
The Indiana Bat (Myotis sodalis) population had decreased by 56% between 1967 and 2006. In summer 2006, a mysterious disease called “White Nose Syndrome” was first identified. Since then, the disease killed almost one million bats in North America. Many Biologists believe that both the...
In this thesis we address several questions around mirror symmetry for Fano manifolds and Calabi-Yau varieties. Fano mirror symmetry is a relationship between a Fano manifold X and a pair (Y,w) called a Landau-Ginzburg model, which consists of a manifold Y and a regular function w on Y. The goal...
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 continuous-time 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 ApproachDownload
BACKGROUND: Despite the overall decline in tuberculosis (TB) incidence in Canada, rates among Indigenous peoples have not decreased since the late 1990s. On-going transmission associated with the time from the onset of symptoms to treatment have been identified as major contributor to the...
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...
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...