Geodesic
Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 328-368.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Mhaskar-Saff found a kind of universal behavior for the bulk structure of the zeros of orthogonal polynomials for large . Motivated by two plots, we look at the finer structure for the case of random Verblunsky $\textcent $coefficients and for what we call the BLS condition: ### ### . In the former case, we describe $\sterling $########$${\S}$$###$\copyright \ddot $ "! ! results of Stoiciu. In the latter case, we prove asymptotically equal spacing for the bulk of zeros.
Classification : 42C05, 30C15, 60G55
Keywords: OPUC, clock behavior, Poisson zeros, orthogonal polynomials 
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     author = {Simon, Barry},
     title = {Fine structure of the zeros of orthogonal polynomials. {I:} {A} tale of two pictures},
     journal = {Electronic transactions on numerical analysis},
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     volume = {25},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a10/}
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Simon, Barry. Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 328-368. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a10/