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Universality Limits for Exponential Weights

✍ Scribed by Eli Levin; Doron S. Lubinsky

Publisher
Springer
Year
2008
Tongue
English
Weight
556 KB
Volume
29
Category
Article
ISSN
0176-4276

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πŸ“œ SIMILAR VOLUMES

Bounds for orthogonal polynomials for ex
Bounds for orthogonal polynomials for exponential weights
✍ A.L. Levin; D.S. Lubinsky πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 801 KB

Orthogonal polynomials pn(W2,x) for exponential weights W 2 =e -2Q on a finite or infinite interval I, have been intensively studied in recent years. We discuss efforts of the authors to extend and unify some of the theory; our deepest result is the bound Ip,(m2,x)lm(x)l(x -a\_,)(x-a,,)l TM <~ c, xE

Uniform asymptotics for polynomials orth
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
✍ P. Deift; T. Kriecherbauer; K. T-R McLaughlin; S. Venakides; X. Zhou πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 475 KB πŸ‘ 1 views

We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n β†’ ∞. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the