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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)

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
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...

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...

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...

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...

Spring 2014
This thesis deals with the TrotterKato approximation in utility maximization. The TrotterKato approximation is a method to split a differential equation into two parts, which are then solved iteratively over small time intervals. In the context of utility maximization, this procedure was...