Browsing School of Mathematics Theses and Dissertations by Title
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The KnasterKuratowskiMazurkiewicz theorem and abstract convexities
(Georgia Institute of Technology, 200105) 
Lestimators used in CFAR detection
(Georgia Institute of Technology, 199608) 
The law of the iterated logarithm
(Georgia Institute of Technology, 197208) 
Legendrian and transverse knots and their invariants
(Georgia Institute of Technology, 20120814)In this thesis, we study Legendrian and transverse isotopy problem for cabled knot types. We give two structural theorems to describe when the (r,s) cable of a Legendrian simple knot type K is also Legendrian simple. We ... 
Level set model of microstructure evolution in the chemical vapor infiltration process
(Georgia Institute of Technology, 200212) 
The lifting and generalized extension problems
(Georgia Institute of Technology, 196908) 
Limit periodicity of sequences defined by certain recurrence relations; and Julia sets
(Georgia Institute of Technology, 198505) 
Limit theorems for a onedimensional system with random switchings
(Georgia Institute of Technology, 20101115)We consider a simple onedimensional random dynamical system with two driving vector fields and random switchings between them. We show that this system satisfies a one force  one solution principle and compute its unique ... 
Linear algorithms for graphs of treewidth at most four
(Georgia Institute of Technology, 199308) 
Linear operators and the equations of motion of infinite linear chains
(Georgia Institute of Technology, 197205) 
Linear systems on metric graphs and some applications to tropical geometry and nonarchimedean geometry
(Georgia Institute of Technology, 20140702)The divisor theories on finite graphs and metric graphs were introduced systematically as analogues to the divisor theory on algebraic curves, and all these theories are deeply connected to each other via tropical geometry ... 
Lorentz Lattice Gases on Graphs
(Georgia Institute of Technology, 20031126)The present work consists of three parts. In the first part (chapters III and IV), the dynamics of Lorentz lattice gases (LLG) on graphs is analyzed. We study the fixed scatterer model on finite graphs. A tight bound is ... 
Mahler's conjecture in convex geometry: a summary and further numerical analysis
(Georgia Institute of Technology, 20100809)In this thesis we study Mahler's conjecture in convex geometry, give a short summary about its history, gather and explain different approaches that have been used to attack the conjecture, deduce formulas to calculate the ... 
Markov chains at the interface of combinatorics, computing, and statistical physics
(Georgia Institute of Technology, 20120322)The fields of statistical physics, discrete probability, combinatorics, and theoretical computer science have converged around efforts to understand random structures and algorithms. Recent activity in the interface of ... 
Matching structure and Pfaffian orientations of graphs
(Georgia Institute of Technology, 20050720)The first result of this thesis is a generation theorem for bricks. A brick is a 3connected graph such that the graph obtained from it by deleting any two distinct vertices has a perfect matching. The importance of ... 
Mathematical approaches to digital color image denoising
(Georgia Institute of Technology, 20090914)Many mathematical models have been designed to remove noise from images. Most of them focus on grey value images with additive artificial noise. Only very few specifically target natural color photos taken by a digital ... 
A mathematical investigation of the occurrence of vortices in flow past irregular surfaces
(Georgia Institute of Technology, 195912) 
Mathematical Modeling of Fines Migration snd Clogging in Porous Media
(Georgia Institute of Technology, 20070802)Mathematical Modeling of Fines Migration and Clogging in Porous Media Guido Kampel 87 Pages Directed by Dr. Guillermo H. Goldsztein A porous medium is a material that contains regions filled with fluid embedded ... 
Mathematical models of physical phenomena
(Georgia Institute of Technology, 196308) 
A mathematical study of mimicry and opportunism
(Georgia Institute of Technology, 198908)