Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice

Journal of Physics A: Mathematical and General

Volumn 34, Issue 48, 2001, Pages 10627-10637

  Aptekarev, A I ^a   Van Assche, W ^b  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

^b UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035824491     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/48/326     Document Type: Article

References (17)

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3. Buyarov V S 1991 Logarithmic asymptotics of polynomials orthogonal on the real axis with nonsymmetric weight Mat. Zametki 50 28-36 (in Russian) (Engl. transl. Math. Notes 50 789-95)
4. Buyarov V S and Rakhmanov E A 1999 Families of equilibrium measures in an external field on the real axis Mat. Sb. 190 11-22 (in Russian) (Engl. transl. Sb. Math. 190 791-802)
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6. Deift P and McLaughlin K T-R 1998 A continuum limit of the Toda lattice Mem. Am. Math. Soc. vol 624 (Providence, RI: American Mathematical Society)
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9. ∞ initial data Commun. Math. Phys. 221 305-33
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13. Moser J 1975 Finitely many mass points on the line under the influence of an exponential potential - an integrable system Dynamical Systems, Theory and Applications (Rencontres, Battelle Research Institute, Seattle, WA, 1974) (Springer Lecture Notes in Physics vol 38) (Berlin: Springer) pp 467-97
14. Rakhmanov E A 1996 Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable Mat. Sb. 187 109-24 (in Russian) (Engl. transl. Sb. Math. 187 1213-28)
15. Rakhmanov E A 1996 Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable Mat. Sb. 187 109-24 (in Russian) (Engl. transl. Sb. Math. 187 1213-28)
16. Rakhmanov E A 1977 On the asymptotics of the ratio of orthogonal polynomials Mat. Sb. 103 237-52 (in Russian) (Engl. transl. Math. USSR Sb. 32 199-214)
17. Rakhmanov E A 1977 On the asymptotics of the ratio of orthogonal polynomials Mat. Sb. 103 237-52 (in Russian) (Engl. transl. Math. USSR Sb. 32 199-214)