Mathematics electronic theses and dissertations (MU)
The items in this collection are the theses and dissertations written by students of the Department of Mathematics. Some items may be viewed only by members of the University of Missouri System and/or University of MissouriColumbia. Click on one of the browse buttons above for a complete listing of the works.
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Recent Submissions

Expectation of pnorm of random matrices with heavy tails
(University of MissouriColumbia, 2014)Mathematics 
On unimodality of Hilbert functions of Artinian level algebras of codimension 3 and type 2 and 3
(University of MissouriColumbia, 2014)Mathematics 
GENERATING SEQUENCES OF VALUATIONS AND APPLICATIONS
(University of MissouriColumbia, 2014)Mathematics 
Irrational behavior of algebraic discrete valuations
(University of MissouriColumbia, 2014)Mathematics 
Limit of many molecules dynamics with rigorous macroscopic results
(University of MissouriColumbia, 2013)The thesis builds on recent ideas that combine work by C.B. Morrey (1955) and D.W. Jepsen & D. ter Haar (1962) with more recent analytic techniques: measure disintegration, PDEs for measures, etc. (M.I. Vishik & A.V. ... 
Stability estimates for semigroups and partly parabolic reaction diffusion equations
(University of MissouriColumbia, 2013)The purpose of my dissertation is the application of the methods of abstract theory of strongly continuous operator semigroups (and of evolution semigroups in particular) to study of the spectral properties of a class of ... 
Frames and projections
(University of MissouriColumbia, 2013)In this dissertation we explore several ways in which the concept of projections arise infinite frame theory. In the first chapter we show that the Paulsen problem from frame theory is equivalent to a long standing open ... 
Groupoids and semigroupoids
(University of MissouriColumbia, 2013)The theory of semigroupoids and groupoids makes the transition between arbitrary sets and groups. The usefulness of developing theory stems from various applications where a group structure is lacking, yet there exists ... 
Stochastically perturbed NavierStokes system on the rotating sphere
(University of MissouriColumbia, 2013)We show the existence and uniqueness of an invariant measure for the kickforced NavierStokes system on the 2dimensional sphere, first without deterministic force and then with a timeindependent deterministic force. The ... 
Fusion frame constructions and frame partitions
(University of MissouriColumbia, 2013)Fusion frames consist of a sequence of subspaces from a Hilbert space and corresponding positive weights so that the sum of weighted orthogonal projections onto these subspaces is an invertible operator on the space. Despite ... 
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 ...