Geodesic
Universality Under Szegő’s Condition
Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 211-224

Voir la notice de l'article provenant de la source Cambridge University Press

This paper presents a theoremon universality on orthogonal polynomials/randommatrices under a weak local condition on the weight function $w$ . With a new inequality for polynomials and with the use of fast decreasing polynomials, it is shown that an approach of D. S. Lubinsky is applicable. The proof works at all points that are Lebesgue-points for both the weight function $w$ and $\log \,w$ .
DOI : 10.4153/CMB-2015-043-5
Mots-clés : 42C05, 60B20, 30C85, 31A15, universality, random matrices, Christoòel functions, asymptotics, potential theory 
Totik, Vilmos. Universality Under Szegő’s Condition. Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 211-224. doi: 10.4153/CMB-2015-043-5
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