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Now showing items 1-9 of 9

#### Exponential random graph models for multilevel networks

(Northern Illinois University, 2014)

This master's thesis investigates the use of exponential random graph models for multilevel networks. It begins by describing some basic ideas in network analysis and then moves into the use of models to describe observed ...

#### Characterization of table algebras by their multiplicities

(Northern Illinois University, 2014)

The structure of a standard integral table algebra can sometimes be determined by the multiplicities of the irreducible characters for that table algebra. In particular, it has been shown that a standard table algebra ...

#### A classification of class two and class three nilpotent table algebras

(Northern Illinois University, 2014)

Table algebras are generalizations of adjacency algebras, and of the character ring of a finite group. Extensions of groups by groups have been well studied, and Hirasaka and Bang have generalized this to the study of ...

#### Blaschke products and parameter spaces

(Northern Illinois University, 2014)

In this thesis, we discuss certain aspects of complex dynamics. We will introduce the important concepts in iteration theory, discuss examples of families of holomorphic mappings, and their dynamics. In particular, we will ...

#### Nodal solutions of nonlocal integral boundary value problems

(Northern Illinois University, 2014)

In this dissertation, we study the nonlinear, non-local boundary value problem consisting of the second order equation -( p(t)y') ' + q(t) = w( t)f(y) on [a,b] and one of two boundary conditions involving a Riemann-Stieltjes ...

#### A computational model for switch surfaces

(Northern Illinois University, 2015)

Computation of contact points between the wheel and rail is a fundamental problem in dynamic simulation of trains. For this purpose, an accurate model of a switch surface is needed. The objective of this study is to develop ...

#### Combinatorial interpretations of continued fractions with multiple limit points

(Northern Illinois University, 2015)

This dissertation establishes an Euler-Minding type theorem for the continued fraction with numerator elements --1 and denominator elements 1 + bi, where bi is a sequence of indeterminants. This theorem is employed to ...

#### A divide-and-conquer split Schur algorithm

(Northern Illinois University, 2015)

Positive definite Toeplitz systems of equations arise in a number of applications in pure and applied mathematics. Methods of solution specifically designed to exploit the symmetry of such linear systems have been studied ...

#### Fusion rings with degrees 1 and 4

(Northern Illinois University, 2015)

Fusion rings are a class of table algebras that generalize group rings with basis the group and character rings of a finite group with basis the irreducible characters. Examples are the Grothendieck rings of fusion categories, ...