• A class of Gorenstein Artin algebras of embedding dimension four 

    El Khoury, Sabine, 1978- (University of Missouri--Columbia, 2007)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Let R be a polynomial ring in n variables and I be a homogeneous ideal in R. Such an ideal I is called Gorenstein if the quotient R/I has a free ...
  • Trace formulae in finite von Neumann algebras 

    Skripka, Anna, 1979- (University of Missouri--Columbia, 2007)
    The dissertation is devoted to some aspects of spectral perturbation theory in the context of finite Von Neumann algebras. The central results are analogs of the Birman-Schwinger principle and the Birman-Krein formula for ...
  • Transference and Szego's theorem for measure preserving representations 

    Koucherik, Elena, 1962- (University of Missouri--Columbia, 2007)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] We prove analogues of the classical Szeg̈o's theorem concerning approximation by polynomials on the unit circle, and Jensen's inequality involving the ...
  • Volatility estimation and price prediction using a hidden Markov model with empirical study 

    Yin, Pei, 1978- (University of Missouri--Columbia, 2007)
    This work provides a solid development of a hidden Markov model (HMM) from the economic insight to the mathematic formulation. In this model, we assume both drift and volatility of the security return process are driven ...