Browsing by Department "Mathematics and Statistics"
Now showing items 201-220 of 283
Orthogonal bases of certain symmetry classes of tensors associated with Brauer characters
(2013-07-17)
The main focus of this dissertation is on the existence of an orthogonal basis consisting of standard symmetrized tensors (o-basis for short) of a symmetry class of tensors associated with a Brauer character of a finite ...
Palm Measure Invariance and Exchangeability for Marked Point Processes
(2008-12-15)
A random measure $\xi$ on a real interval $I$ is known to be exchangeable iff suitably reduced versions of the Palm distributions $Q_{t}$ are independent of $t \in I$. In this dissertation we prove a corresponding result ...
Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity
(2022-07-25)
Chemotaxis describes the movement of biological cells or organisms in response to certain chemicals in their environments and occupies an essential role in coordinating cell movement in many biological circumstances such ...
Path and Cycle Decompositions
(2008-08-15)
A $G$-design is a partition of edge set of K_v in which each element induces a copy of G. The existence of G-designs with the additional property that they contain no proper subsystems has been
previously settled when G ...
Path Curvature on a Convex Roof
(2007-12-15)
Given a set of rectangles, R1 through Rk, where Ri and Ri+1 share a common
edge and these common edges are congruent and parallel to each other. The resulting
”roof” is part of the surface of a convex body. We’ll consider ...
Path Decompositions of the Kneser Graph
(2013-04-22)
Necessary and sufficient conditions are given for the existence of a graph decomposition of the Kneser Graph $KG_{n,2}$ into paths of length three and four, and of the Generalized Kneser Graph $GKG_{n,3,1}$ into paths of ...
A Peano Continuum which is Homogeneous but not Bihomogeneous
(2006-12-15)
The author describes in detail the construction of a Peano continuum which is homogeneous and non-bihomogeneous. This continuum was originally constructed by G. Kuperberg in the paper Another homogeneous, non-bihomogeneous ...
Phase transition for fractional stochastic partial differential equations in a bounded domain
(2019-07-18)
In this dissertation, we study several stochastic partial differential equations (SPDEs) in the open and bounded domain $D$, subset of $\mathbb{R}^d$ for $d\geq 1$, driven by a multiplicative noise. We are interested in ...
Phenomenal Three-Dimensional Objects
(2011-03-29)
Original thesis project: By studying the literature, collect and write a survey paper on special three-dimensional polyhedra and bodies. Read and understand the results, to which these polyhedra and bodies are related.
Although ...
Poroelasticity
(2007-08-15)
Poroelasticity is the study of elastic deformation of porous materials saturated with a fluid and the coupling between the fluid pressure and the solid deformation.
Considerable progress has been made in formulating ...
Predictive Text Analytics and Text Classification Algorithms
(2016-05-23)
In this dissertation, there are three research studies that are mainly based on text analysis. In the first study, a sentiment analysis is performed for extracting and identifying the general rating of the customer reviews ...
Principal Eigenvalue Theory for Time Periodic Nonlocal Dispersal Operators and Applications
(2014-07-02)
The dissertation is concerned with the
spectral theory, in particular, the principal eigenvalue theory for
nonlocal dispersal operators with time periodic dependence, and its
applications. Nonlocal and random dispersal ...
Probabilistic schemes for semi-linear nonlocal diffusion equations with application in predicting runaway electron dynamics
(2019-12-05)
In this work, we focus on developing and analyzing novel probabilistic numerical approaches for solving several types of semi-linear nonlocal diffusion equations in both unbounded and bounded high dimensional spaces. First, ...
Probability Equivalent Level of Value at Risk and Expected Shortfall
(2023-05-02)
Probability Equivalent Level of Value at Risk and Expected Shortfall (PELVE) is a novel risk measure proposed and explored by Li and Wang (2020), in [16]. It is motivated by the transition from 99% Value-at-Risk (VaR) to ...
Products of positive definite symplectic matrices
(2020-07-15)
We show that every symplectic matrix is a product of five positive definite symplectic
matrices and five is the best in the sense that there are symplectic matrices which are not product
of less.
Progress on the Marcus-de Oliveira Determinantal Conjecture
(2017-04-12)
We discuss the well known conjecture of Marcus and de Oliveira of the determinant of the sum of normal matrices. We present the motivation of this conjecture, along with detailed history of its origin. Then we compile ...
Properties of Nonmetric Hereditarily Indecomposable Subcontinua of Finite Products of Lexicographic Arcs
(2009-11-09)
Nonmetric hereditarily indecomposable subcontinua of finite products of Lexicographic arcs are examined. It is shown that these subcontinua cannot intersect certain subsets of the products. Then nonmetric hereditarily ...
A Property of GO-Topologies on the Reals
(2019-04-04)
In 1981 Peter de Caux proved that finite powers of the Sorgenfrey line are hereditarily D-spaces. In this paper we build on de Caux's technique to show that any subspace of a finite power of the reals with a generalized ...
q-Steiner Systems and their Automorphisms
(2017-11-30)
The q-analog of t-designs and Steiner systems arises canonically from replacing sets of
conventional t-designs by vector spaces over GF(q) and their orders with the dimensions.
Thomas introduced these generalizations ...
The QR Algorithm for Eigenvalue Estimation: Theory and Experiments
(2008-12-15)
In this thesis, we explore one of the most important numerical algorithms ever invented,
the QR algorithm for computing matrix eigenvalues. First, we describe out notations and
mathematical symbols used throughout the ...