Browsing by Author "Alex Powell"

Now showing items 1-3 of 3

    • Applications of Modular Forms to Geometry and Interpolation Problems 
      Feigenbaum, Ahram Samuel (2019-10-23)
      Department: Mathematics
      The sphere packing problem asks for the densest collection of non-overlapping con- gruent spheres in Rn. In 2016, Viazovska proved that the E8 lattice is optimal for n = 8. Subsequently, she with Cohn, Kumar, Miller, and ...
    • Dynamical Sampling 
      Tang, Sui (2016-05-31)
      Department: Mathematics
      Let f ∈ l^2(I) be a signal at time t = 0 of an evolution process controlled by a bounded linear operator A that produces the signals A f , A^2 f , · · · at times t = 1, 2, · · · . Let Y = { f (i), Af (i), · · · , A^(l_i ...
    • Node Generation on Surfaces and Bounds on Minimal Riesz Energy 
      Michaels, Timothy Joseph (2017-12-04)
      Department: Mathematics
      Discretizing a manifold is a far reaching subject throughout the mathematical and physical sciences. This thesis has two principal foci. We present and analyze a variety of algorithms for generating point configurations ...