메뉴 건너뛰기




Volumn 30, Issue 19, 1997, Pages 6633-6654

Thermodynamic relations of the Hermitian matrix ensembles

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031558522     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/19/006     Document Type: Article
Times cited : (61)

References (33)
  • 2
    • 0000032737 scopus 로고
    • Über die Sturm-Liouvillesche Polynomsysteme
    • Bochner S 1929 Über die Sturm-Liouvillesche Polynomsysteme Math. Zeit. 29 730-6
    • (1929) Math. Zeit. , vol.29 , pp. 730-736
    • Bochner, S.1
  • 3
    • 38249018616 scopus 로고
    • Estimates of asmmetric Freud polynomials
    • Bauldry W C 1990 Estimates of asmmetric Freud polynomials J. Approx. Th. 63 225-37 Bonan S S and Clark D S 1990 Estimates of the Hermite and the Freud polynomials J. Approx. Th. 63 210-24 Tracy C A and Widom H 1994 Fredholm determinants, differential equations and matrix models Commun. Math. Phys. 163 33-72
    • (1990) J. Approx. Th. , vol.63 , pp. 225-237
    • Bauldry, W.C.1
  • 4
    • 38249017227 scopus 로고
    • Estimates of the Hermite and the Freud polynomials
    • Bauldry W C 1990 Estimates of asmmetric Freud polynomials J. Approx. Th. 63 225-37 Bonan S S and Clark D S 1990 Estimates of the Hermite and the Freud polynomials J. Approx. Th. 63 210-24 Tracy C A and Widom H 1994 Fredholm determinants, differential equations and matrix models Commun. Math. Phys. 163 33-72
    • (1990) J. Approx. Th. , vol.63 , pp. 210-224
    • Bonan, S.S.1    Clark, D.S.2
  • 5
    • 0003025563 scopus 로고
    • Fredholm determinants, differential equations and matrix models
    • Bauldry W C 1990 Estimates of asmmetric Freud polynomials J. Approx. Th. 63 225-37 Bonan S S and Clark D S 1990 Estimates of the Hermite and the Freud polynomials J. Approx. Th. 63 210-24 Tracy C A and Widom H 1994 Fredholm determinants, differential equations and matrix models Commun. Math. Phys. 163 33-72
    • (1994) Commun. Math. Phys. , vol.163 , pp. 33-72
    • Tracy, C.A.1    Widom, H.2
  • 6
    • 0010060808 scopus 로고
    • Gap formation probability of the α-ensemble
    • Chen Y and Eriksen K J 1995 Gap formation probability of the α-ensemble Int. J. Mod. Phys. B 9 1205-25
    • (1995) Int. J. Mod. Phys. B , vol.9 , pp. 1205-1225
    • Chen, Y.1    Eriksen, K.J.2
  • 7
    • 36149032364 scopus 로고
    • Largest eigenvalue distribution in the double scaling limit of matrix models: A Coulomb fluid approach
    • Chen Y, Eriksen K J and Tracy C A 1995 Largest eigenvalue distribution in the double scaling limit of matrix models: a Coulomb fluid approach J. Phys. A: Math. Gen. 28 L207-11
    • (1995) J. Phys. A: Math. Gen. , vol.28
    • Chen, Y.1    Eriksen, K.J.2    Tracy, C.A.3
  • 8
    • 0040363543 scopus 로고    scopus 로고
    • Some distribution functions of the Laguerre ensembles
    • Chen Y and Manning S M 1996 Some distribution functions of the Laguerre ensembles J. Phys. A: Math. Gen. 29 1-19
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 1-19
    • Chen, Y.1    Manning, S.M.2
  • 10
    • 0039706635 scopus 로고    scopus 로고
    • Hermitian matrix ensembles and orthogonal polynomials
    • to appear 1997
    • Chen Y and Ismail M E H 1997 Hermitian matrix ensembles and orthogonal polynomials Stud. Appl. Math. to appear 1997.
    • (1997) Stud. Appl. Math.
    • Chen, Y.1    Ismail, M.E.H.2
  • 12
    • 0031237588 scopus 로고    scopus 로고
    • Asymptotics of extreme zeros of Meixner-Pollaczek polynomials
    • to appear
    • Chen Y and Ismail M E H 1997 Asymptotics of extreme zeros of Meixner-Pollaczek polynomials J. Comput. Appl. Math. to appear
    • (1997) J. Comput. Appl. Math.
    • Chen, Y.1    Ismail, M.E.H.2
  • 13
    • 0345774143 scopus 로고    scopus 로고
    • Tau-function constructions of the recurrence coefficients of orthogonal polynomials
    • Chen Y, Ismail M E H and Van Assche W 1997 Tau-function constructions of the recurrence coefficients of orthogonal polynomials Adv. Appl. Math.
    • (1997) Adv. Appl. Math.
    • Chen, Y.1    Ismail, M.E.H.2    Van Assche, W.3
  • 14
    • 35549006412 scopus 로고
    • Statistical theory of energy levels of complex systems I
    • Dyson F J 1962 Statistical theory of energy levels of complex systems I J. Math. Phys. 3 140-156 Dyson F J 1962 Statistical theory of energy levels of complex systems II J. Math. Phys. 3 157-165 Dyson F J 1962 Statistical theory of energy levels of complex systems III J. Math. Phys. 3 166-175
    • (1962) J. Math. Phys. , vol.3 , pp. 140-156
    • Dyson, F.J.1
  • 15
    • 0141913605 scopus 로고
    • Statistical theory of energy levels of complex systems II
    • Dyson F J 1962 Statistical theory of energy levels of complex systems I J. Math. Phys. 3 140-156 Dyson F J 1962 Statistical theory of energy levels of complex systems II J. Math. Phys. 3 157-165 Dyson F J 1962 Statistical theory of energy levels of complex systems III J. Math. Phys. 3 166-175
    • (1962) J. Math. Phys. , vol.3 , pp. 157-165
    • Dyson, F.J.1
  • 16
    • 0242436583 scopus 로고
    • Statistical theory of energy levels of complex systems III
    • Dyson F J 1962 Statistical theory of energy levels of complex systems I J. Math. Phys. 3 140-156 Dyson F J 1962 Statistical theory of energy levels of complex systems II J. Math. Phys. 3 157-165 Dyson F J 1962 Statistical theory of energy levels of complex systems III J. Math. Phys. 3 166-175
    • (1962) J. Math. Phys. , vol.3 , pp. 166-175
    • Dyson, F.J.1
  • 19
    • 0000283311 scopus 로고
    • On the coefficients in the recursion formula of orthogonal polynomials
    • Freud G 1976 On the coefficients in the recursion formula of orthogonal polynomials Proc. Roy. Irish Acad. 76 1-6
    • (1976) Proc. Roy. Irish Acad. , vol.76 , pp. 1-6
    • Freud, G.1
  • 22
    • 0003282810 scopus 로고
    • Toda orbits of Laguerre polynomials and representations of the virasoro algebra
    • Haine L 1993 Toda orbits of Laguerre polynomials and representations of the virasoro algebra Bull. Sci. Math. 117 485-518
    • (1993) Bull. Sci. Math. , vol.117 , pp. 485-518
    • Haine, L.1
  • 23
    • 0002596515 scopus 로고
    • Monotonicity of zeros of orthogonal polynomials
    • ed D Stanton (New York: Springer)
    • Ismail M E H 1989 Monotonicity of zeros of orthogonal polynomials q-Series and Partitions ed D Stanton (New York: Springer) pp 177-90
    • (1989) q-Series and Partitions , pp. 177-190
    • Ismail, M.E.H.1
  • 24
    • 0000625846 scopus 로고
    • A survey of general orthogonal polynomials for weights on finite and infinite intervals
    • Lubinsky D S 1987 A survey of general orthogonal polynomials for weights on finite and infinite intervals Acta Appl. Math. 10 237-96
    • (1987) Acta Appl. Math. , vol.10 , pp. 237-296
    • Lubinsky, D.S.1
  • 26
    • 0001071858 scopus 로고
    • An update on orthogonal polynomials and weighted approximation on the real line
    • Lubinsky D S 1993 An update on orthogonal polynomials and weighted approximation on the real line Acta Appl. Math. 33 121-64
    • (1993) Acta Appl. Math. , vol.33 , pp. 121-164
    • Lubinsky, D.S.1
  • 27
    • 84966243762 scopus 로고
    • On the largest zeros of orthogonal polynomials for certain weights
    • Lubinsky D S and Sharif A 1983 On the largest zeros of orthogonal polynomials for certain weights Math. Comp. 41 199-202
    • (1983) Math. Comp. , vol.41 , pp. 199-202
    • Lubinsky, D.S.1    Sharif, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.