Universality Limits for Exponential Weights

作者：Levin Eli; Lubinsky Doron S^*

来源：Constructive Approximation, 2009, 29(2): 247-275.

DOI：10.1007/s00365-008-9020-4

• Universality limits
• Orthogonal polynomials
• Exponential weights

We establish universality in the bulk for fixed exponential weights on the whole real line. Our methods involve first-order asymptotics for orthogonal polynomials and localization techniques. In particular, we allow exponential weights such as |x|(2 beta) g(2) (x) exp(-2Q(x)), where beta > -1/2, Q is convex and Q '' satisfies some regularity conditions, while g is positive, and has a uniformly continuous and slowly growing or decaying logarithm.

• 出版日期2009-4