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Ph.D. Theses (Mathematics)

DSpace/Manakin Repository

Ph.D. Theses (Mathematics)

 

Recent Submissions

  • Kvarda, Robert Edward (1965-08-26)
    This report presents a characterization of the quantum mechanical analog of the Gibbs canonical density. The approach is based on a method developed by D.S. Carter for the case of classical statistical mechanics, whic ...
  • Barrett, Johnner (2013-11-08)
    The nonlinear Schrödinger equation is a well-known partial differential equation that provides a successful model in nonlinear optic theory, as well as other applications. In this dissertation, following a survey of mat ...
  • Bradford, Kyle B. (2013-05-15)
    While the stability of time-homogeneous Markov chains have been extensively studied through the concept of mixing times, the stability of time-inhomogeneous Markov chains has not been studied as in depth. In this manuscr ...
  • Daowsud, Katthaleeya (2013-04-25)
    We use the theory of continued fractions over function fields in the setting of hyperelliptic curves of equation y²=f(x), with deg(f)=2g+2. By introducing a new sequence of polynomials defined in terms of the partial quo ...
  • Gelbaum, Zachary A. (2013-04-17)
    This dissertation presents some results from various areas of probability theory, the unifying theme being the use of functional analytic intuition and techniques. We first give a result regarding the existence of certai ...