Browsing School of Mathematics Theses and Dissertations by Title
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Estimating the maximum probability of categorical classes with applications to biological diversity measurements
(Georgia Institute of Technology, 20120705)The study of biological diversity has seen a tremendous growth over the past few decades. Among the commonly used indices capturing both the richness and evenness of a community, the BergerParker index, which relates to ... 
Evolution system approximations of solutions to closed linear operator equations
(Georgia Institute of Technology, 197505) 
Exact probabilities of the KolmogorovSmirnov statistic
(Georgia Institute of Technology, 196008) 
Examples of topological spaces
(Georgia Institute of Technology, 197008) 
Existence and bounds of solutions to ordinary differential equations in a banach space
(Georgia Institute of Technology, 197008) 
Existence and uniqueness theorems for solutions of some two point boundary value problems for y''=(x,y,y')
(Georgia Institute of Technology, 197408) 
Existence of solutions to degenerate parabolic equations via the MongeKantorovich theory
(Georgia Institute of Technology, 200205) 
Existence of traveling waves and applications
(Georgia Institute of Technology, 199812) 
Exploring global dynamics : a numerical algorithm based on the Conley index theory
(Georgia Institute of Technology, 199508) 
Expotential decay of resolvents of banded matrices and asymptotics of solutions of linear difference equations
(Georgia Institute of Technology, 199005) 
An extension of KAM theory to quasiperiodic breather solutions in Hamiltonian lattice systems
(Georgia Institute of Technology, 20071114)We prove the existence and linear stability of quasiperiodic breather solutions in a 1d Hamiltonian lattice of identical, weaklycoupled, anharmonic oscillators with general onsite potentials and under the effect of ... 
Extensions of sturmliouville theory : nodal sets in both ordinary and partial differential equations
(Georgia Institute of Technology, 199508) 
Extensions of the concept of derivative to all monotone functions
(Georgia Institute of Technology, 198308) 
Extremal Functions for Contractions of Graphs
(Georgia Institute of Technology, 20040708)In this dissertation, a problem related to Hadwiger's conjecture has been studied. We first proved a conjecture of Jakobsen from 1983 which states that every simple graphs on $n$ vertices and at least (11n35)/2 edges ... 
Extremal Functions for Graph Linkages and Rooted Minors
(Georgia Institute of Technology, 20051128)Extremal Functions for Graph Linkages and Rooted Minors Paul Wollan 137 pages Directed by: Robin Thomas A graph G is klinked if for any 2k distinct vertices s_1,..., s_k,t_1,..., t_k there exist k vertex ... 
Finite Field Models of Roth's Theorem in One and Two Dimensions
(Georgia Institute of Technology, 20060605)Recent work on many problems in additive combinatorics, such as Roth's Theorem, has shown the usefulness of first studying the problem in a finite field environment. Using the techniques of Bourgain to give a result in ... 
Forbidden subgraphs and 3colorability
(Georgia Institute of Technology, 20120626)Classical vertex coloring problems ask for the minimum number of colors needed to color the vertices of a graph, such that adjacent vertices use different colors. Vertex coloring does have quite a few practical applications ... 
The form of a solution to the inhomogeneous heat equation
(Georgia Institute of Technology, 196705) 
Fractal functions, splines, and wavelet
(Georgia Institute of Technology, 199508) 
A fractal theory of iterated Markov operators with applications to digital image coding
(Georgia Institute of Technology, 198908)