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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 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...

Spring 2014
Let G be a locally compact group. It is wellknown that G^LUC, the spectrum of the algebra of left uniformly continuous functions on G, the socalled LUCcompactification of G, is a semigroup with product restricted from the Arens product on LUC(G)^*. Now consider the algebra of weighted left...

Theoretical and Computational Aspects of Mixture Models, with Applications to Empirical Bayes Methods
DownloadFall 2018
This thesis studies mixture models, in particular the estimation of mixing distributions and their applications to empirical Bayes prediction. The objectives are twofold: to study the largesample property of empirical Bayes estimators; to develop algorithms for the nonparametric estimation of...

Theory of Spectral Sequences of Exact Couples: Applications To Countably And Transfinitely Filtered Modules
DownloadFall 2013
This thesis has two parts. In the first part we start from an arbitrary exact couple of Rmodules and describe completely how the Einfinity terms of the associated spectral sequence relate to adjacent filtration stages of the universal (co)augmenting objects of the exact couple. This advances...

Fall 2017
In this thesis, we formulate and prove the theorem of quadratic reciprocity for an arbitrary number field. We follow Hecke and base our argument on analytic techniques and especially on an identity of theta functions called theta inversion. From this inversion formula and a limiting argument, we...