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Volumn 109, Issue 5-6, 2002, Pages 1109-1120

Duality of orthogonal polynomials on a finite set

Author keywords

Discrete orthogonal polynomials; Orthogonal polynomial ensembles

Indexed keywords


EID: 0036390386     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020432812090     Document Type: Article
Times cited : (18)

References (21)
  • 1
    • 35549006412 scopus 로고
    • Statistical theory of the energy levels of complex systems I, II, III
    • F. J. Dyson, Statistical theory of the energy levels of complex systems I, II, III, J. Math. Phys. 3:140-156, 157-165, 166-175 (1962).
    • (1962) J. Math. Phys. , vol.3 , pp. 140-156
    • Dyson, F.J.1
  • 2
    • 0001865474 scopus 로고
    • Sur la loi limite de l'espacement de valuers propres d'une matrics aleatiore
    • M. Gaudin, Sur la loi limite de l'espacement de valuers propres d'une matrics aleatiore, Nucl. Phys. 25:447-458 (1961).
    • (1961) Nucl. Phys. , vol.25 , pp. 447-458
    • Gaudin, M.1
  • 3
    • 0001358033 scopus 로고
    • On the density of eigenvalues of a random matrix
    • M. Gaudin and M. L. Mehta, On the density of eigenvalues of a random matrix, Nucl. Phys. 18:420-427 (1960).
    • (1960) Nucl. Phys. , vol.18 , pp. 420-427
    • Gaudin, M.1    Mehta, M.L.2
  • 5
    • 0000817750 scopus 로고
    • Correlation functions of random matrix ensembles related to classical orthogonal polynomials
    • T. Nagao and M. Wadati, Correlation functions of random matrix ensembles related to classical orthogonal polynomials, J. Phys. Soc. Japan 60:3298-3322 (1991).
    • (1991) J. Phys. Soc. Japan , vol.60 , pp. 3298-3322
    • Nagao, T.1    Wadati, M.2
  • 6
    • 0034349003 scopus 로고    scopus 로고
    • Distributions on partitions, point processes, and the hypergeometric kernel
    • math/9904010
    • A. Borodin and G. Olshanski, Distributions on partitions, point processes, and the hypergeometric kernel, Commun. Math. Phys. 211:335-358 (2000); math/9904010.
    • (2000) Commun. Math. Phys. , vol.211 , pp. 335-358
    • Borodin, A.1    Olshanski, G.2
  • 7
    • 0012593006 scopus 로고    scopus 로고
    • z-Measures on partitions, Robinson Schensted Knuth correspondence, and β = 2 random matrix ensembles
    • MSRI Publications; math/9905189
    • A. Borodin and G. Olshanski, z-Measures on partitions, Robinson Schensted Knuth correspondence, and β = 2 random matrix ensembles, in Random Matrices and Their Applications, MSRI Publications, Vol. 40, 2001; math/9905189.
    • (2001) Random Matrices and Their Applications , vol.40
    • Borodin, A.1    Olshanski, G.2
  • 9
    • 0034340689 scopus 로고    scopus 로고
    • Shape fluctuations and random matrices
    • math/9903134
    • K. Johansson, Shape fluctuations and random matrices, Commun. Math. Phys. 209: 437-476 (2000); math/9903134.
    • (2000) Commun. Math. Phys. , vol.209 , pp. 437-476
    • Johansson, K.1
  • 10
    • 0035626398 scopus 로고    scopus 로고
    • Discrete orthogonal polynomial ensembles and the Plancherel measure
    • math/9906120
    • K. Johansson, Discrete orthogonal polynomial ensembles and the Plancherel measure, Ann. Math. 153:259-296 (2001); math/9906120.
    • (2001) Ann. Math. , vol.153 , pp. 259-296
    • Johansson, K.1
  • 12
    • 0141619569 scopus 로고
    • Finite sequences of orthogonal polynomials connected by a Jacobi matrix
    • C. de Boor and E. B. Saff, Finite sequences of orthogonal polynomials connected by a Jacobi matrix, Linear Algebra Appl. 75:43-55 (1986).
    • (1986) Linear Algebra Appl. , vol.75 , pp. 43-55
    • De Boor, C.1    Saff, E.B.2
  • 13
    • 0016486888 scopus 로고
    • The coincidence approach to stochastic point processes
    • O. Macchi, The coincidence approach to stochastic point processes, Adv. Appl. Prob. 7:83-122 (1975).
    • (1975) Adv. Appl. Prob. , vol.7 , pp. 83-122
    • Macchi, O.1
  • 15
    • 0034390399 scopus 로고    scopus 로고
    • Asymptotics of Plancherel measures for symmetric groups
    • math/9905032
    • A. Borodin, A. Okounkov, and G. Olshanski, Asymptotics of Plancherel measures for symmetric groups, J. Amer. Math. Soc. 13:481-515 (2000); math/9905032.
    • (2000) J. Amer. Math. Soc. , vol.13 , pp. 481-515
    • Borodin, A.1    Okounkov, A.2    Olshanski, G.3
  • 16
    • 0034556390 scopus 로고    scopus 로고
    • Determinantal random point fields
    • math/0002099
    • A. Soshnikov, Determinantal random point fields, Russian Math. Surveys 55:923-975 (2000); math/0002099.
    • (2000) Russian Math. Surveys , vol.55 , pp. 923-975
    • Soshnikov, A.1
  • 17
    • 0004074813 scopus 로고
    • Blaisdell Pub. Co., Waltham, Mass.
    • M. Hall, Combinatorial Theory (Blaisdell Pub. Co., Waltham, Mass., 1967).
    • (1967) Combinatorial Theory
    • Hall, M.1
  • 18
    • 0003362643 scopus 로고
    • AMS Colloquium Publications (Amer. Math. Soc., N.Y.)
    • G. Szegö, Orthogonal Polynomials, AMS Colloquium Publications XXIII (Amer. Math. Soc., N.Y., 1959).
    • (1959) Orthogonal Polynomials , vol.23
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.