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  • A special Riemann surface with application to the hyperelliptic case 

    Conwell, Herman Henry (University of Kansas, 1915)
  • The principle of duality in a projective space of N dimensions 

    Flinn, Ruby Vee (University of Kansas, 1922.)
  • Euclidean proofs of projective geometry theorems / 

    Farner, Elmer Franklin (University of Kansas, 1922.)
  • The Arbelos 

    Welch, Gertrude (University of Kansas, 1949-08-01)
  • Coordinate Systems in One and Two Dimensions 

    Wood, Frank Edwin (University of Kansas, 1914-06-01)
  • On the Kalman Filter and Its Variations 

    Lindsey, Theodore S. (University of Kansas, 2014-05-31)
    The objective of this paper is to explore the standard Kalman filter and two non-linear variations. Additionally, we will discuss the derivation of the Kalman filter using Newton's method. Next we will consider the ...
  • Limit Domains in Several Complex Variables 

    Console, Alexander (University of Kansas, 2013-12-31)
    In this thesis we demonstrated the existence of domains in C^2 evidencing both intrinsic phenomena of C^n, n 1, and different types of boundary smoothness. We constructed these domains by taking limits of preimages of ...
  • Finding Eigenvalues of Unitary Matrices 

    Gu, Peidi (University of Kansas, 2013-12-31)
    The study introduces methods of finding eigenvalues for unitary matrices and pencils. Bunse-Gerstner and Elsner ([2]) proposed an algorithm of using the Schur parameter pencil to solve eigenproblems for unitary matrices ...
  • Bilinear Littlewood-Paley Square Functions and Singular Integrals 

    Hart, Jarod Victor (University of Kansas, 2013-05-31)
    In this dissertation we further develop the bilinear theory of vector valued Calderoón-Zygmund operators, Littlewood-Paley square functions, and singu- lar integral operators. These areas of harmonic analysis are motivated ...
  • Some application of Malliavin calculus to SPDE and convergence of densities 

    Lu, Fei (University of Kansas, 2013-05-31)
    Some applications of Malliavin calculus to stochastic partial differential equations (SPDEs) and to normal approximation theory are studied in this dissertation. In Chapter 3, a Feynman-Kac formula is established for a ...
  • Dynamics of Poisson-Nernst-Planck systems and applications to ionic channels 

    Zhang, Mingji (University of Kansas, 2013-08-31)
    Dynamics of Poisson-Nernst-Planck systems and its applications to ion channels are studied in this dissertation. The Poisson-Nernst-Planck systems serve as basic electro-diffusion equations modeling, for example, ion flow ...
  • Central Limit Theorems for Some Symmetric Stochastic Integrals 

    Harnett, Daniel M. (University of Kansas, 2013-08-31)
    The problem of stochastic integration with respect to fractional Brownian motion (fBm) with H 1/4, but not in general if H 1/2. This result approximates an fBm version of Spitzer's theorem for planar Brownian motion.
  • Simulation Methods Comparison and Parameter Estimation for a Fractional Stochastic Volatility Model with Application in Stock Price Analysis 

    Wu, Fengmei (University of Kansas, 2013-08-31)
    This paper studies continuous-time stock pricing models with stochastic volatility driven by fractional Brownian motion. We compare two ways for simulating the paths of stochastic volatility and stock price when the Hurst ...
  • The Rebate Value Process with Some Applications 

    Welch, Nathan M. (University of Kansas, 2013-08-31)
    In the pricing of credit derivatives default is modelled as a stopping time and prices are typically determined by separation of cash-flows before and at default. In a general risk-neutral valuation setting, this technique ...
  • Numerical Methods for Parameter Estimation in Stochastic Systems 

    Clifton, Cody Edward (University of Kansas, 2013-05-31)
    The objective of this work is to provide numerical simulations in support of a collection of existing results on estimation in two distinct types of stochastic systems. In the first chapter, we consider a linear time-invariant ...
  • Quotients of Metric Spaces 

    Herman, Robert A. (The University of Kansas, 1968)
    The question of when a given property of a topological space is preserved under mappings is one of the most familiar problems of general topology. Among the properties of greatest interest for general spaces is, without ...
  • Neutral Equations of Mixed Type 

    Lamb, Charles (University of Kansas, 2012-12-31)
    In this dissertation we consider neutral equations of mixed type. In particular, we con- sider the associated linear Fredholm theory and nerve fiber models that are written as systems of neutral equations of mixed type. ...
  • Super-Stretched and Countable Cohen-Macaulay Type 

    Stone, Branden (University of Kansas, 2012-08-12)
    This dissertation defines what it means for a Cohen-Macaulay ring to to be super-stretched. In particular, a super-stretched Cohen-Macaulay ring of positive dimension has h-vector (1), (1,n), or (1,n,1). It is shown that ...
  • Normal form approach for dispersive equations with low-regularity data 

    Oh, Seungly (University of Kansas, 2012-01-01)
    In this dissertation, we examine applications of the normal form technique to nonlinear dispersive equations with rough initial data. Working within the framework of Bourgain spaces, the normal form method often produces ...
  • Shearing Flows in Liquid Crystal Models 

    Dorn, Timothy (University of Kansas, 2012-05-31)
    The liquid crystal phase is a phase of matter between the solid and liquid phase whose flow is characterized by a velocity field and a director field which describes locally the orientation of the liquid crystal. In this ...

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