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Now showing items 21-30 of 30
Atomicity in Rings with Zero Divisors
(North Dakota State University, 2011)
In this dissertation, we examine atomicity in rings with zero divisions. We begin by examining the relationship between a ring’s level of atomicity and the highest level of irreducibility shared by the ring’s irreducible ...
Ideal Graphs
(North Dakota State University, 2014)
In this dissertation, we explore various types of graphs that can be associated to a commutative ring with identity. In particular, if R is a commutative ring with identity, we consider a number of graphs with the vertex ...
Modeling Swap and Geophysical Analysis using Barndorff-Nielson and Shephard Model
(North Dakota State University, 2015)
Video summarizing Ph.D. dissertation for a non-specialist audience.
L1 Approximation in De Branges Spaces
(North Dakota State University, 2015)
In this thesis we study bandlimited approximations to various functions. Bandlimited functions
have compactly supported Fourier transforms, which is a desirable feature in many applications.
In particular, we address the ...
Modeling Financial Swaps and Geophysical data Using the Barndorff-Nielsen and Shephard Model
(North Dakota State University, 2015)
This dissertation uses Barndoff-Nielsen and Shephard (BN-S) models to model swap, a type of financial derivative, and analyze geophysical data for estimation of major earthquakes. From empirical observation of the stock ...
Analysis of Variance Based Financial Instruments and Transition Probability Densities Swaps, Price Indices, and Asymptotic Expansions
(North Dakota State University, 2018)
This dissertation studies a couple of variance-dependent instruments in the financial market. Firstly, a number of aspects of the variance swap in connection to the Barndorff-Nielsen and Shephard model are studied. A partial ...
Homological Dimensions with Respect to a Semidualizing Complex
(North Dakota State University, 2015)
See Dissertation Document for Full Abstract (Mathematical Symbols Included)
The Game of Nim on Graphs
(North Dakota State University, 2011)
The ordinary game of Nim has a long history and is well-known in the area of combinatorial game theory. The solution to the ordinary game of Nim has been known for many years and lends itself to numerous other solutions ...
The First Exit-Time Analysis of an Approximate Barndorff-Nielsen and Shephard Model, with Data Science-Based Applications in the Commodity Market
(North Dakota State University, 2021)
In this dissertation, an approximate version of the Barndorff-Nielsen and Shephard model, driven by a Brownian motion and a Lévy subordinator, is formulated. The first-exit time of the log-return process for this model is ...
Ramification and Infinite Extensions of Dedekind Domains
(North Dakota State University, 2010)
This dissertation presents methods for determining the behavior of prime ideals
m an integral extension of a Dedekind domain. One tool used to determine this
behavior is an algorithm that computes which prime ideals ...