Universality Limits involving Orthogonal Polynomials on an Arc of the Unit Circle

Author:

Lubinsky Doron S.,Nguyen Vy

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Analysis

Reference24 articles.

1. Akhiezer, N.I.: On polynomials orthogonal on a circular arc, Dokl. Akad. Nauk SSSR, 130, 247–250 (1960)[in Russian]; Soviet Math. Dokl., 1, 31–34 (1960)

2. Baik, J., Kriecherbauer, T., McLaughlin, T.-R., Miller, P.D.: Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles. Princeton Ann. Math. Stud. (2006)

3. Deift, P.: Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach, Courant Institute Lecture Notes, vol. 3. New York University Pres, New York (1999)

4. Deift, P., Kriecherbauer, T., McLaughlin, K.T-R., Venakides, S., Zhou, X.: Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Commun. Pure Appl. Maths 52, 1335–1425 (1999)

5. Freud, G.: Orthogonal polynomials. Akademiai Kiado, Budapest (1971)

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