Browsing School of Mathematics Faculty Publications by Title
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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 ... 
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 ... 
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 ...