Browsing School of Mathematics by Title
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Validated Continuation for Infinite Dimensional Problems
(Georgia Institute of Technology, 20070807)Studying the zeros of a parameter dependent operator F defined on a Hilbert space H is a fundamental problem in mathematics. When the Hilbert space is finite dimensional, continuation provides, via predictorcorrector ... 
Variance of Lipschitz Functions and an Isoperimetric Problem for a Class of Product Measures
(Georgia Institute of Technology, 19950710)The maximal variance of Lipschitz functions (with respect to the \ell_1distance) of independent random vectors is found. This is then used to solve the isoperimetric problem, uniformly in the class of product probability ... 
Variations on Newton's method in finite dimensional spaces
(Georgia Institute of Technology, 196912) 
Vertical integration of research and education in the mathematical sciences  VIGRE: VIGRE/GT: vertical integration of research & education at Georgia Tech
(Georgia Institute of Technology, 20080616) 
Viscosity solutions of second order equations in a separable Hilbert space and applications to stochastic optimal control
(Georgia Institute of Technology, 200205) 
The volume conjecture, the aj conjectures and skein modules
(Georgia Institute of Technology, 20120621)This dissertation studies quantum invariants of knots and links, particularly the colored Jones polynomials, and their relationships with classical invariants like the hyperbolic volume and the Apolynomial. We consider ... 
Wave Train of Monotone Travelling Waves for Generic CompetitionDiffusion Systems
(Georgia Institute of Technology, 1994)In this paper, we consider monotone travelling waves for the generic competitiondiffusion system which satisfies the following property: The system has a finite number of equilibrium points in the first quadrant, and each ... 
Weak extensions of operators with emphasis on integrals
(Georgia Institute of Technology, 197008) 
WKB and Turning Point Theory for Second Order Difference Equations: External Fields and Strong Asymptotics for Orthogonal Polynomials
(Georgia Institute of Technology, 200905)A LGWKB and Turning point theory is developed for three term recurrence formulas associated with monotonic recurrence coefficients. This is used to find strong asymptotics for certain classical orthogonal polynomials ...