Browsing Mathematics by Author "Benson, Chal"

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  • Eigenvalues for Sums of Hermitian Matrices 

    Taylor, James M. (East Carolina University, 2015)
    In this thesis we explore how the eigenvalues of nxn Hermitian matrices A,B relate to the eigenvalues of their sum C=A+B. We mainly focus on inequalities bounding sums of r eigenvalues for C by sums of r eigenvalues for A ...

  • Fourier Analysis on SU(2) 

    Leaser, Tyler (East Carolina University, 2012)
    The set SU(2) of 2x2 unitary matrices with determinant one forms a compact non-abelian Lie group diffeomorphic to the three dimensional sphere. This thesis surveys general theory concerning analysis on compact Lie groups ...

  • Random Walks on Finite Fields and Heisenberg Groups 

    Zhu, Yi (East Carolina University, 2011)
    Let H be a finite group and [mu] a probability measure on H. This data determines an invariant random walk on H beginning from the identity element. The probability distribution for the state of the random walk after n ...