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Limited information strategies for topological games
(2015-04-08)
A topological game G(X) is a two-player game which characterizes
properties of a topological space X based upon the existence of winning
perfect-information
strategies for players in the game. If the property P is ...
Inequalities Involving Generalized Matrix Functions
(2015-07-17)
Given a set \(F\) of functions that have their domain and codomain in common, if the codomain is ordered we may partially order \(F\) by choosing a subset \(S\) of their domain and saying that for \(f,g \in F\), \(f \leq ...
Asymptotic Dynamics of Competition Systems with Immigration and/or Time Periodic Dependence
(2015-05-08)
This dissertation is devoted to the study of the asymptotic dynamics, in particular, coexistence states and convergence of nonnegative solutions to the competition systems with immigration and time periodic dependence. ...
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 ...
On the Countable Dense Homogeneity of Euclidean Spaces
(2015-04-20)
A countable dense homogeneous space, in a general sense, is a topological space in which any two countable dense subsets of the space are "dispersed" the same way. In this thesis, we will show that some very well-known ...
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 ...
Bounded Complete Embedding Graphs
(2015-07-21)
In the study of graph embeddings, there is particular interest in small embeddings and in bounds on the minimum number of vertices that must be added in order to achieve an embedding of a particular design. We introduce ...
Robust Variable Selection Methods for Grouped Data
(2015-07-23)
When predictor variables possess an underlying grouping structure in multiple regression, selecting important groups of variables is an essential component of building a meaningful regression model. Some methods exist to ...
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 ...
Geometry of Zeros and Bernstein Type Inequalities concerning Growth for Polynomials
(2015-12-08)
In this dissertation, we study the problems related to geometry of zeros and Bernstein type inequalities concerning growth for polynomials. The dissertation consists of three chapters followed by list of references used ...