• Absolute continuity of parabolic measure and the initial-dirichlet problem 

    Genschaw, Alyssa (University of Missouri--Columbia, 2019)
    This thesis is devoted to the study of parabolic measure corresponding to a divergence form parabolic operator. We first extend to the parabolic setting a number of basic results that are well known in the elliptic case. ...
  • Applied problems in frame theory 

    Botelho-Andrade, Sara (University of Missouri--Columbia, 2019)
    This thesis is a study of two applied problems in frame theory: phase retrieval and quantum detection. These problems are inspired by engineering applications in signal processing and information theory. ... The goal of ...
  • Shapley-like values without symmetry 

    Clark, Jacob North (University of Missouri--Columbia, 2019)
    Following the work of Shapley on the Shapley value [16], and further work of Owen [14], we offer an alternative formulation of and path to and through the work of Weber in his paper on efficient but not symmetric cooperative ...
  • The vanishing of the chow cohomology ring for affine toric varieties and additional results 

    Richey, Ryan Matthew (University of Missouri--Columbia, 2019)
    From the recent work of Edidin and Satriano, given a good moduli space morphism between a smooth Artin stack and its good moduli space X, they prove that the Chow cohomology ring of X embeds into the Chow ring of the stack. ...
  • Weak phase retrieval and phaseless reconstruction 

    Ghoreishi, Dorsa (University of Missouri--Columbia, 2019)
    Phase retrieval and phaseless reconstruction for Hilbert space frames is a very active area of research. Recently, it was shown that these concepts are equivalent. In this thesis, we make a detailed study of a weakening ...