Browsing 2012 MU dissertations  Freely available online by Thesis Department "Mathematics (MU)"
Now showing items 16 of 6

Constant proportion portfolio insurance and related topics with empirical study
(University of MissouriColumbia, 2012)The concept of Constant Proportion Portfolio Insurance (CPPI) in terms of jumpdiffusion, as well as the associated meanvariance hedging problem, has been studied. Three types of risk related to: the probability of loss, ... 
The Evans function, the WeylTitchmarsh function, and the BirmanSchwinger operators
(University of MissouriColumbia, 2012)We focus on the spectral stability of travelling wave solutions of partial differential equations. First, we use the GohbergRouche Theorem to prove equality of the algebraic multiplicity of an isolated eigenvalue of an ... 
Generalized local Tb theorem and applications
(University of MissouriColumbia, 2012)The Tb theorem, like its predecessor, the T1 Theorem, is an L2 boundedness criterion, originally established by McIntosh and Meyer, and by David, Journé and Semmes in the context of singular integrals, but later extended ... 
Geometric and nonlinear limit theorems in probability theory
(University of MissouriColumbia, 2012)The concentration of measure phenomenon is a nonlinear equivalent of the law of large numbers that deals with real valued Lipschitz functions and includes linear functionals such as the sample mean. In the first part of ... 
On projective morphisms of varieties with nef anticanonical divisor
(University of MissouriColumbia, 2012)We shall study and discuss some important properties of the projective varieties with nef anticanonical bundles and nef tangent bundles. And we shall review some background and history about the subject. Then we shall use ... 
Statistical and stochastic results for three dimensional fluids
(University of MissouriColumbia, 2012)In part I, we show that the longitudinal correlation function for homogeneous and isotropic turbulence remains negative in an interval of time, up to Galerkin approximation. Part II covers the existence and uniqueness of ...