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# Browsing by Degree "Mathematics"

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• (Wake Forest University, 2013)
This thesis studies deterministic movement over toroidal grids (and more generally, Cayley graphs on groups), integrating local information, bounded memory and choice at individual nodes. The research is motivated by recent ...
• (Wake Forest University, 2009-05-08)
In 1954, Shephard and Todd showed that if $A$ is a polynomial ring and $G$ is a finite group acting as automorphisms on $A$, then the ring of invariants $A^G=\{a\in A : g\cdot a = a, \forall g\in G\}$ is again a polynomial ...
• (Wake Forest University, 2013)
Falls that occur during the human gait cycle are the cause of numerous injuries among the elderly and those suffering from neuropathy. These falls can arise from postural sway and instability in the gait cycle, and therefore, ...
• (Wake Forest University, 2011)
This thesis studies the behavior of positive solutions of the recursive equation $y_n=\left(\frac{e_{i,k}}{e_{j,k}}\right)(y_{n-t_1},y_{n-t_2},\dots,y_{n-t_k}), 0\leq i, j \leq k$, where $e_{m,k}$ is the $m^{th}$ elementary ...
• (2008)
We are interested in formulating conditions on the kernel of the Toeplitz integral operator which allow the determination of the asymptotic behavior of the eigenvalues of the operator.
• (Wake Forest University, 2011)
In this thesis we introduce a local limit theorem for probability
• (Wake Forest University, 2012)
Biological experiments of proteins and genes often involve the collection of multiple replicates of sparse time-course data. From such time-course data, protein (or gene) interaction posterior probabilities are computed ...
• (Wake Forest University, 2015)
This paper shows how variational methods may be used to describe an eigencurve
• (Wake Forest University, 2010-05-06)
In this thesis, we study dynamics of systems evolving according to choice functions; such scenarios have the potential of being applicable in data and network processing, decision theory, and sampling. In particular, ...
• (Wake Forest University, 2015)
Most problems in number theory are exceedingly simple to state, yet many continue to elude mathematicians even centuries after they were originally posed. Such
• (Wake Forest University, 2013)
Given a chain of the partially ordered set of weighted games, it is currently unknown if weights can be assigned to each of the $n$ voters so that the chain is weighted. We conjecture that every consistent chain $C$ through ...
• (Wake Forest University, 2010-03-26)
The commutativity degree of a group is the probability that two randomly selected (with replacement) elements of the group commute. We find bounds on the commutativity degree of a finite group, equate restricted values ...
• (Wake Forest University, 2015)
The standard definition of a Schur symmetric function, is as a quotient of a determinant
• (Wake Forest University, 2016)
Ecologists have been spearheading the Snapshot Serengeti project in Tanzania's Serengeti National Park for the past few years, a large camera trap project with the intent of discovering more about how animals interact with ...
• (Wake Forest University, 2008-12-20)
The purpose of this paper is to discuss the survival analysis techniques for continuous time multi-state models. It explores homogeneous Markov models, homogeneous semi-Markov models, non-homogeneous Markov models, and ...
• (Wake Forest University, 2015)
This paper serves as an extension of Eigencurves for Two-Parameter Sturm-Liouville Equations by Binding and Volkmer. Facts about specific sequences of eigenvalues of linear equations developed in Bases and Comparison Results ...
• (Wake Forest University, 2010-05-05)
We present an exposition of various results dealing with the total curvature of curves in Euclidean 3-space. There are two primary results: Fenchel's theorem and the theorem of Fary and Milnor. Fenchel's theorem states ...
• (Wake Forest University, 2011)
We investigate the topological, similarity and Hausdorff dimensions of self-similar fractals that are the invariant sets of iterated function systems. We start with the Contraction Mapping Theorem, which will give us a ...
• (Wake Forest University, 2014)
We explore the concept of dimension using mathematical tools. We start by providing definitions, examples, and basic properties for two types of topological dimension: small inductive dimension and large inductive dimension. ...
• (Wake Forest University, 2016)
The fibonomial triangle has been shown by Chen and Sagan to have a fractal nature mod 2 and 3. Both these primes have the property that the Fibonacci entry point of $p$ is $p+1$. We study the fibonomial triangle mod 5, ...