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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)

Fall 2016
There is an increasing interest in extreme value analysis for financial and climate data. Various statistical methods have been developed for estimating extreme value dependence in time series data sets and the field continues to grow. In this work we consider four statistical methods for...

Fall 2014
This thesis presents recent developments in direct numerical simulations of fluidstructure interaction occurring in biological systems, with particular interest in the modeling of particle deposition within the human respiratory system. Two numerical techniques are proposed. The first one is...

Fall 2017
One main goal of this thesis is to bring forth a systematic and simple construction of a multiwavelet basis on a bounded interval. The construction that we present possesses orthogonality in the derivatives of the multiwavelet basis among all scale levels. Since we are mainly interested in Riesz...

Fall 2020
The kinetic chemotaxis equations have long been used to model biological processes. We will analyze a volume filling variant of the kinetic chemotaxis equations on the torus. Since the kinetic chemotaxis systems have well known blowup solutions, we spend a considerable amount of time showing...

Periodic solutions and bistability in a model for cytotoxic Tlymphocyte (CTL) response to human Tcell lymphotropic virus type I (HTLVI)
DownloadFall 2009
HTLVI is the first discovered human retrovirus and a causative agent of both adult Tcell leukemia (ATL) and HTLVIassociated myelopathy (or tropical spastic paraparesis) (HAM/TSP). Previous models have been successful in providing insight into the progression of HTLVI infection. The...

Amenability and fixed point properties of semitopological semigroups of nonexpansive mappings in Banach spaces
DownloadFall 2016
In this thesis we are interested in fixed point properties of representations of semitopological semigroups of nonexpansive mappings on weak and weak* compact convex sets in Banach or dual spaces. More particularly, we study the following problems : Problem 1 : Let F be any commuting family of...

Fall 2015
This thesis concentrates on the construction of directional tensor product complex tight framelets. It uses a complex tight framelet filter bank in one dimension and the tensor product of the onedimensional filter bank to obtain highdimensional filter bank. It has a number of advantages over...

Fall 2010
When a semiinfinite body of homogeneous fluid initially at rest behind a vertical retaining wall is suddenly released by the removal of the barrier the resulting flow over a horizontal or sloping bed is referred to as a dambreak flow. When resistance to the flow is neglected the exact...

Categories of Weight Modules for Unrolled Quantum Groups and Connections to Vertex Operator Algebras
DownloadFall 2020
Recently, numerous connections between the categories of modules $\mathrm{Rep}{\langle s \rangle} \mcM(r)$ for the singlet vertex operator algebra $\mcM(r)$ and $\mathrm{Rep}{wt}\overline{U}q^H(\mathfrak{sl}2)$ for the unrolled restricted quantum group $\overline{U}q^H(\mathfrak{sl}2)$ at $2r$th...