Geodesic
Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices
Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 233-260 
A. I. Aptekarev. Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices. Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 233-260. http://geodesic.mathdoc.fr/item/SM_1986_53_1_a11/
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     title = {Asymptotic properties of polynomials orthogonal on a~system of contours, and periodic motions of {Toda} lattices},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An expression in the form of a Riemann theta-function is obtained for the asymptotic behavior of polynomials orthogonal on a system of contours. Properties of a limit-periodic discrete Sturm–Liouville operator and the dynamics of a periodic Toda lattice are considered as a consequence of the asymptotic formulas obtained. Figures: 2. Bibliography: 21 titles.

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