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Browsing by Degree "Mathematics and Statistics"

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Browsing by Degree "Mathematics and Statistics"

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  • Annunziata, Michael Thomas (Wake Forest University, 2017)
    The set of all polynomials in a collection of variables with coefficients in a given field is an important mathematical object, called the polynomial ring. The primary objects of study in this theory are sets of polynomials ...
  • Martin, Colin Eldridge (Wake Forest University, 2019)
    The study of Hopf algebras is a relatively new field of modern algebra with many
  • Feng, Fan (Wake Forest University, 2018)
    In this thesis we consider price dynamics on an $n$-node graph, with particular emphasis on population distribution and movement. We propose a general model wherein at each time step population distributes to adjacent nodes ...
  • McConkey, Robert (Wake Forest University, 2018)
    In this thesis we will focus on the topic of helicity. Helicity gives us a way to measure the coiling of flow lines in a vector field, computed by the formula [see formula in PDF file] . To start our ...
  • Lee, Woo Hyung (Wake Forest University, 2018)
    In this paper, we will define and prove various properties of abelian categories, monoidal categories and tensor categories. Then, we will show how to define a ring that represents a tensor category, which will be ...
  • Zanetell, Jessica (Wake Forest University, 2018)
    In this thesis, we study noise-induced tipping in a piecewise-smooth, linear, one-dimensional periodically forced system perturbed by weak additive noise. This problem is motivated by a recent model of energy flux in Arctic ...
  • Melvin, Ryan Lee (Wake Forest University, 2018)
    In this thesis, we explore in depth a unified measure of community-based proximity between network nodes, relative to a given subset of interest. In addition, we develop a novel measure of local centrality for data and ...
  • Harris, Richard Trafford (Wake Forest University, 2018)
    In this thesis, I work with camera trap data from the Snapshot Serengeti project in Serengeti National Park in Tanzania Africa. This data consists of the time and location where species were observed during the year 2012. ...
  • Newman, Maisie Jann (Wake Forest University, 2018)
    In this thesis, we seek to model the dynamics of violent political revolutions using adaptations of mathematical biology models. Existing models of similar social phe- nomena either lack recruitment terms from one ...