Browsing Department of Mathematics (MU) by Thesis Department "Mathematics"
Now showing items 18 of 8

Asymptotic properties of deep water solitary waves with compactly supported vorticity
(University of MissouriColumbia, 2018)In this thesis, we consider two and threedimensional gravity and capillarygravity solitary waves propagating along the surface of a body of water with infinite depth.The waves are acted upon by gravity and we allow the ... 
Generalized littlewoodrichardson coefficients for branching rules of GL(n) and extremal weight crystals
(University of MissouriColumbia, 2018)This thesis is devoted to the combinatorial and geometric study of certain multiplicities, which we call generalized LittlewoodRichardson coefficients. These are sums of products of single LittlewoodRichardson coefficients, ... 
Generating sequences and semigroups of valuations on 2 dimensional normal local rings
(University of MissouriColumbia, 2018)In this thesis we develop a method for constructing generating sequences for valuations dominating the ring of a two dimensional quotient singularity. Suppose that K is an algebraically closed field of characteristic zero, ... 
On hydrodynamic equations and their relation to kinetic theory and statistical mechanics
(University of MissouriColumbia, 2017)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] We establish conditions on the Hamiltonian evolution of interacting molecules that imply hydrodynamic equations at the limit of infinitely many molecules ... 
On the Euler characteristics of certain moduli spaces of 1dimensional subschemes
(University of MissouriColumbia, 2017)Generalizing the ideas in [LQ] and using virtual Hodge polynomials as well as torus actions, we compute the Euler characteristics of some moduli spaces of 1dimensional closed subschemes when the ambient smooth projective ... 
Persistent homology : categorical structural theorem and stability through representations of quivers
(University of MissouriColumbia, 2018)The purpose of this thesis is to advance the study and application of the field of persistent homology through both categorical and quiver theoretic viewpoints. While persistent homology has its roots in these topics, there ... 
Radiation conditions and integral representations for Clifford algebravalued null solutions of the iterated perturbed Dirac operator
(University of MissouriColumbia, 2017)In 1912 Arnold Sommerfeld introduced a special decay condition at infinity to address uniqueness issues for certain boundary value problems involving the Helmholtz operator in an exterior domain. Examples of such boundary ... 
Sequences of rank1 projections and Gabor tight fusion frames
(University of MissouriColumbia, 2017)This dissertation provides new results in two areas. The first part concerns the particular properties that are inherited by a sequence of rank1 projections from the inducing sequence of unitnorm vectors. The second part ...