Browsing by Department "Mathematics and Statistics"
Now showing items 81-100 of 283
An example of movable approximations of a minimal set in a continuous flow
(2006-05-15)
In the present dissertation the study of flows on n-manifolds in particular in dimension three, e.g., R^3, is motivated by the following question. Let A be a compact invariant set in a flow on X. Does every neighbourhood ...
Existence of L_d(n) and ML_d(n,k)
(2023-04-28)
We are given an n x n array, ML(n,k), with integers n, d, k > 0 such that n=mk and each symbol in {0, ..., m-1} appears in each row and column of the ML(n,k) exactly k times. We aim to construct an ML_d(n,k) with the ...
Existence of TP(d,k,n)
(2019-04-24)
Given a square grid of land, which has n rows and n columns. It is required to plant trees on the land so that there are k trees in every row and column and there is at most 1 tree in any small square part of the land with ...
Explicit Time Integration Methods Based on Simplified Stochastic Computational Singular Perturbation
(2018-07-26)
The research presented in this dissertation focuses on the development of efficient explicit time integration schemes for the chemical Langevin equations (CLEs). Due to the presence of multiple time scales in complex ...
Extensions of Monotonicity Results to Semisimple Lie Groups
(2016-05-05)
We extend a monotonicity result of Wang and Gong on the product of powers of positive definite matrices. This result concerns the eigenvalues of such products which written as vectors have a log majorization relationship. ...
Factor Pair Latin Squares
(2015-05-05)
Sudoku has risen in popularity over the past few years. The rules are simple, yet the solutions are often less than trivial. Mathematically, these puzzles are interesting in their own right. This dissertation will use ...
Factorwise Rigidity Involving Hereditarily Indecomposable Spaces
(2008-12-15)
The Cartesian product of two spaces is called factorwise rigid if any self homeomorphism is a product homeomorphism. In 1983, D. Bellamy and J. Lysko proved that the Cartesian product of two pseudo-arcs is factorwise rigid. ...
Fair Factorizations of the Complete Multipartite Graphs and Related Edge-colorings
(2015-05-12)
In this dissertation, first the technique of vertex amalgamations is used to extend known results on graph decompositions, and in particular on decompositions of the complete multipartite graph K(n,p) with p parts, each ...
Fast and well-conditioned boundary integral equation solvers for the numerical simulation of graphene plasmon
(2018-07-18)
Surface plasmonic polaritons (SPPs) are evanescent electromagnetic waves coupled to free electron plasma oscillations.
It was first observed in metallic gratings in 1902 by Wood. Modern plasmonics gained renewed interest ...
Finitely Generated Modules Over Noncommutative Chain Rings
(2011-10-26)
The notion of a right chain ring, a ring whose lattice of right ideals is linearly ordered by inclusion, is a generalization of a valuation ring. In this work we investigate properties of right chain rings and the structure ...
Fixed Points and Periodic Points of Orientation Reversing Planar Homeomorphisms
(2010-07-20)
Topological dynamics on surfaces is studied. The primary objects of study are orientation reversing homeomorphisms of the plane, but most of the results apply also to the orientation reversing homeomorphisms of the 2-sphere. ...
Forbidding Monchromatic and Rainbow Cycles and Families of Cycles
(2023-05-01)
In this dissertation, we avoid certain cycles and families of cycles in complete graphs. Introduced by Axenovich and Choi \cite{2011NoteMonotonicity}, the mixed Ramsey spectrum, $\mrs{F}{H}$,
is the set of numbers $k$ ...
The Fractional Chromatic Number and the Hall Ratio
(2016-07-29)
All graphs in this paper are both finite and simple. α(G) is the vertex independence of a graph, G. The Hall ratio of G is defined as ρ(G) = max[n(H) /α(H) |n(H) = |V (H)|and H ⊆ G] where H ⊆ G means that H is a subgraph of ...
Generalization of Ky Fan-Amir-Moez-Horn-Mirsky's result on the eigenvalues and real singular values of a matrix
(2005-12-15)
Ky Fan's result states that the real part of the eigenvalues of an n by n com-
plex matrix A is majorized by the eigenvalues of the Hermitian part of A. The
converse was established by Amir-Moez and Horn, and Mirsky, ...
A Generalization of Special Atom Spaces with Arbitrary Measure
(2010-12-08)
A brief historical account of the development of special atom spaces is presented followed
by the introduction of two new function spaces, A ( ; ) and B ( ; ), which are generalizations
of previous special atom spaces ...
Generalizations of Various Results in Quantum Computation Theory to Mixed-Dimensional Quantum Systems
(2021-04-05)
The majority of the research in quantum computation theory is based on quantum mechanical systems consisting of quantum subsystems that are all of the same dimension. Following and expanding on the research conducted by ...
Generalized LASSO Problem with Equality and Inequality Constraints Using ADMM
(2019-12-05)
With the development of technology, the volume of the data has gradually become much larger and attracting much more attention in data science. Statisticians nowadays need to consider the case when the dataset is extremely ...
Generalized Signed-Rank Estimation for Certain Complex Regression Models
(2015-05-07)
This dissertation is mainly concerned with the Generalized signed-rank estimation of model parameters in complex regression models, specially nonlinear models with multidimensional indices and two-phase linear models. First ...
Generalizing Clatworthy Group Divisible Designs
(2011-07-28)
Clatworthy described the eleven group divisible designs with three groups, block size four, and replication number at most 10. Each of these can be generalized in natural ways. In this dissertation neat constructions are ...
Genuine Sequential Estimation Procedures for Gamma Populations using Exact Evaluation Criteria
(2009-12-09)
In this dissertation, we develop genuine two-stage sequential procedures for bounded-risk and fixed-width confidence interval estimation for Gamma distributed populations, based on exact evaluation criteria. The term ...