메뉴 건너뛰기




Volumn 262, Issue 2, 2006, Pages 317-341

Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel

Author keywords

[No Author keywords available]

Indexed keywords


EID: 31144434870     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1493-4     Document Type: Article
Times cited : (81)

References (18)
  • 1
    • 0000038422 scopus 로고
    • The theory of the G-function
    • Barnes, E.B.: The theory of the G-function. Quart. J. Pure Appl. Math. XXXI, 264-313 (1900)
    • (1900) Quart. J. Pure Appl. Math. , vol.31 , pp. 264-313
    • Barnes, E.B.1
  • 2
    • 31244437804 scopus 로고    scopus 로고
    • Some identities for determinants of structured matrices
    • Basor, E.L., Ehrhardt, T.: Some identities for determinants of structured matrices. Linear Algebra Appl. 343/344, 5-19 (2002)
    • (2002) Linear Algebra Appl. , vol.343-344 , pp. 5-19
    • Basor, E.L.1    Ehrhardt, T.2
  • 3
    • 21344461446 scopus 로고    scopus 로고
    • On the asymptotics of certain Wiener-Hopf-plus-Hankel determinants
    • Basor, E.L., Ehrhardt, T.: On the asymptotics of certain Wiener-Hopf-plus-Hankel determinants. New York J. Math. 11, 171-203 (2005)
    • (2005) New York J. Math. , vol.11 , pp. 171-203
    • Basor, E.L.1    Ehrhardt, T.2
  • 4
    • 0002403941 scopus 로고
    • Asymptotics of level-spacing distributions for random matrices
    • Basor, E.L., Tracy, C.A., Widom, H.: Asymptotics of level-spacing distributions for random matrices. Phys. Rev. Lett. 69(1), 5-8 (1992)
    • (1992) Phys. Rev. Lett. , vol.69 , Issue.1 , pp. 5-8
    • Basor, E.L.1    Tracy, C.A.2    Widom, H.3
  • 6
    • 0031493906 scopus 로고    scopus 로고
    • A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
    • Deift, P.A., Its, A.R., Zhou, X.: A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics. Ann. Math. 146, 149-235 (1997)
    • (1997) Ann. Math. , vol.146 , pp. 149-235
    • Deift, P.A.1    Its, A.R.2    Zhou, X.3
  • 7
    • 0039430299 scopus 로고
    • Fredholm determinants and inverse scattering problems
    • Dyson, F.J.: Fredholm determinants and inverse scattering problems. Commun. Math. Phys. 47, 171-183 (1976)
    • (1976) Commun. Math. Phys. , vol.47 , pp. 171-183
    • Dyson, F.J.1
  • 8
    • 0038872813 scopus 로고    scopus 로고
    • Approximate identities and stability of discrete convolution operators with flip
    • Ehrhardt, T., Silbermann, B.: Approximate identities and stability of discrete convolution operators with flip. Operator Theory: Adv. Appl., Vol. 110, 103-132 (1999)
    • (1999) Operator Theory: Adv. Appl. , vol.110 , pp. 103-132
    • Ehrhardt, T.1    Silbermann, B.2
  • 9
    • 0003401596 scopus 로고
    • Introduction to the theory of linear nonselfadjoint operators in Hubert space
    • Providence, R.I.: Amer. Math. Soc.
    • Gohberg, I., Krein, M.G.: Introduction to the theory of linear nonselfadjoint operators in Hubert space. Trans. Math. Monographs 18. Providence, R.I.: Amer. Math. Soc., 1969
    • (1969) Trans. Math. Monographs , vol.18
    • Gohberg, I.1    Krein, M.G.2
  • 10
    • 0004163932 scopus 로고
    • San Diego: Academic Press
    • th ed., San Diego: Academic Press, 1994
    • (1994) th Ed.
    • Metha, M.L.1
  • 11
    • 2342488264 scopus 로고
    • Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
    • Jimbo, M., Miwa, T., Môri, Y. Sato, M.: Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Phys. D 1(1), 80-158 (1980)
    • (1980) Phys. D , vol.1 , Issue.1 , pp. 80-158
    • Jimbo, M.1    Miwa, T.2    Môri, Y.3    Sato, M.4
  • 12
    • 2442427555 scopus 로고    scopus 로고
    • Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle
    • Krasovsky, I. V.: Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle. Int. Math. Res. Not. (25), 1249-1272 (2004)
    • (2004) Int. Math. Res. Not. , Issue.25 , pp. 1249-1272
    • Krasovsky, I.V.1
  • 13
    • 0039207910 scopus 로고
    • The essential spectrum of a Hankel operator with piecewise continuous symbol
    • Power, S.: The essential spectrum of a Hankel operator with piecewise continuous symbol. Michigan Math. J. 25(1), 117-121 (1978)
    • (1978) Michigan Math. J. , vol.25 , Issue.1 , pp. 117-121
    • Power, S.1
  • 14
    • 0012610461 scopus 로고
    • C*-algebras generated by Hankel operators and Toeplitz operators
    • Power, S.: C*-algebras generated by Hankel operators and Toeplitz operators. J. Funct. Anal. 31(31), 52-68 (1979)
    • (1979) J. Funct. Anal. , vol.31 , Issue.31 , pp. 52-68
    • Power, S.1
  • 15
    • 0000649044 scopus 로고
    • Introduction to random matrices
    • Berlin: Springer
    • Tracy, C.A., Widom, H.: Introduction to random matrices. In: Lecture Notes in Physics, Vol. 424, Berlin: Springer, 1993, pp. 103-130
    • (1993) Lecture Notes in Physics , vol.424 , pp. 103-130
    • Tracy, C.A.1    Widom, H.2
  • 16
    • 0039014465 scopus 로고
    • The strong Szegö limit theorem for circular arcs
    • Widom, H.: The strong Szegö limit theorem for circular arcs. Indiana Univ. Math. J. 21, 277-283 (1971/1972)
    • (1971) Indiana Univ. Math. J. , vol.21 , pp. 277-283
    • Widom, H.1
  • 17
    • 38149146573 scopus 로고
    • The asymptotics of a continuous analogue of orthogonal polynomials
    • Widom, H.: The asymptotics of a continuous analogue of orthogonal polynomials. J. Appr. Theory 77, 51-64 (1994)
    • (1994) J. Appr. Theory , vol.77 , pp. 51-64
    • Widom, H.1
  • 18
    • 21844526023 scopus 로고
    • Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals
    • Widom, H.: Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals. Commun. Math. Phys. 171, 159-180 (1995)
    • (1995) Commun. Math. Phys. , vol.171 , pp. 159-180
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.