Browsing School of Mathematics Theses and Dissertations by Title
Now showing items 320339 of 348

Testing planarity in linear time
(Georgia Institute of Technology, 199412) 
The colored Jones polynomial and its stability
(Georgia Institute of Technology, 20140512)This dissertation studies the colored Jones polynomial of knots and links, colored by representations of simple Lie algebras, and the stability of its coefficients. Chapter 1 provides an explicit formula for the second ... 
The Filippov moments solution on the intersection of two and three manifolds
(Georgia Institute of Technology, 20151118)In this thesis, we study the Filippov moments solution for differential equations with discontinuous righthand side. In particular, our aim is to define a suitable Filippov sliding vector field on a codimension $2$ ... 
Theorems on the realizability of physical systems having SturmLiouville secular polynomials
(Georgia Institute of Technology, 196708) 
Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices
(Georgia Institute of Technology, 20080505)In this thesis, we consider real matrix functions that depend on two parameters and study the problem of how to detect and approximate parameters' values where the singular values coalesce. We prove several results connecting ... 
Theory and application of expansion, contraction, and isometric mappings
(Georgia Institute of Technology, 196112) 
A theory of generalized moufang loops
(Georgia Institute of Technology, 196808) 
A theory of generalized splines with applications to nonlinear boundary value problems
(Georgia Institute of Technology, 197008) 
Thermostated Kac models
(Georgia Institute of Technology, 20151116)We consider a model of N particles interacting through a Kacstyle collision process, with m particles among them interacting, in addition, with a thermostat. When m = N, we show exponential approach to the equilibrium ... 
Timefrequency analysis of pseudodifferential operators
(Georgia Institute of Technology, 200008) 
Topics in airline crew scheduling and large scale optimization
(Georgia Institute of Technology, 199908) 
Topics in group methods for integer programming
(Georgia Institute of Technology, 20110615)In 2003, Gomory and Johnson gave two different threeslope Tspace facet constructions, both of which shared a slope with the corresponding Gomory mixedinteger cut. We give a new threeslope facet which is independent ... 
Topics in sequence analysis
(Georgia Institute of Technology, 20121112)This thesis studies two topics in sequence analysis. In the first part, we investigate the large deviations of the shape of the random RSK Young diagrams, associated with a random word of size n whose letters are independently ... 
Topics in spatial and dynamical phase transitions of interacting particle systems
(Georgia Institute of Technology, 20110819)In this work we provide several improvements in the study of phase transitions of interacting particle systems:  We determine a quantitative relation between nonextremality of the limiting Gibbs measure of a treebased ... 
Topological Analysis of Patterns
(Georgia Institute of Technology, 20050719)We use computational homology to characterize the geometry of complicated timedependent patterns. Homology provides very basic topological (geometrical) information about the patterns, such as the number of components ... 
Topological investigations of selfsimilarity
(Georgia Institute of Technology, 198908) 
Transformation theory for Lebesgue integrals
(Georgia Institute of Technology, 196308) 
Treebased decompositions of graphs on surfaces and applications to the traveling salesman problem
(Georgia Institute of Technology, 20071219)The treewidth and branchwidth of a graph are two wellstudied examples of parameters that measure how well a given graph can be decomposed into a tree structure. In this thesis we give several results and applications ... 
Two applications of difference methods to chains of linear oscillators
(Georgia Institute of Technology, 196905) 
Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian.
(Georgia Institute of Technology, 20110907)The presented work deals with two distinct problems in the field of Mathematical Physics. The first part is dedicated to an 'almost' solution of Villani's conjecture, a known conjecture related to a Statistical Mechanics ...