Browsing School of Mathematics Theses and Dissertations by Title
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Parabolic systems and an underlying Lagrangian
(Georgia Institute of Technology, 20090707)In this thesis, we extend De Giorgi's interpolation method to a class of parabolic equations which are not gradient flows but possess an entropy functional and an underlying Lagrangian. The new fact in the study is that ... 
Paths, sampling, and markov chain decomposition
(Georgia Institute of Technology, 200112) 
Pattern formation in cellular automata and three dimensional lattice dynamical systems
(Georgia Institute of Technology, 199605) 
The peakcrossing bifurcation in lattice dynamical systems
(Georgia Institute of Technology, 199608) 
Periodic orbits of a dynamical system
(Georgia Institute of Technology, 197008) 
Periodic solutions of a nonlinear second order differential equation
(Georgia Institute of Technology, 196108) 
Pfaffian orientations, flat embeddings, and Steinberg's conjecture
(Georgia Institute of Technology, 20140428)The first result of this thesis is a partial result in the direction of Steinberg's Conjecture. Steinberg's Conjecture states that any planar graph without cycles of length four or five is three colorable. Borodin, Glebov, ... 
Physical concepts associated with two infinite differential systems and their truncated forms
(Georgia Institute of Technology, 196805) 
Planar and hamiltonian cover graphs
(Georgia Institute of Technology, 20111216)This dissertation has two principal components: the dimension of posets with planar cover graphs, and the cartesian product of posets whose cover graphs have hamiltonian cycles that parse into symmetric chains. Posets of ... 
Planar covers of graphs : Negami's conjecture
(Georgia Institute of Technology, 199908) 
Polar  legendre duality in convex geometry and geometric flows
(Georgia Institute of Technology, 20080710)This thesis examines the elegant theory of polar and Legendre duality, and its potential use in convex geometry and geometric analysis. It derives a theorem of polar  Legendre duality for all convex bodies, which is ... 
Predicting the asymptotic behavior for differential equations with a quadratic nonlinearity
(Georgia Institute of Technology, 199508) 
Pricing of Game Options in a market with stochastic interest rates
(Georgia Institute of Technology, 20050330)An in depth study of the pricing of Game contingent claims under a general diffusion market model, in which interest rate is non constant, is presented. With the idea of providing a few numerical examples ... 
Problems and results in partially ordered sets, graphs and geometry
(Georgia Institute of Technology, 20080626)The thesis consist of three independent parts. In the first part, we investigate the height sequence of an element of a partially ordered set. Let $x$ be an element of the partially ordered set $P$. Then $h_i(x)$ is the ... 
Problems in classical banach spaces
(Georgia Institute of Technology, 198812) 
Problems in combinatorial number theory
(Georgia Institute of Technology, 20140402)The dissertation consists of two parts. The first part is devoted to results in Discrepancy Theory. We consider geometric discrepancy in higher dimensions (d > 2) and obtain estimates in Exponential Orlicz Spaces. We ... 
Product integral solutions of stochastic VolterraStieltjes integral equations with discontinuous integrators
(Georgia Institute of Technology, 197612) 
Projection methods for nonlinear boundary value problems
(Georgia Institute of Technology, 197105) 
Projective iterative schemes for solving systems of linear equations
(Georgia Institute of Technology, 196612) 
Properties which are invariant under certain mappings
(Georgia Institute of Technology, 196508)