메뉴 건너뛰기




Volumn 220, Issue 2, 2001, Pages 429-451

On the characteristic polynomial of a random unitary matrix

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035535736     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100453     Document Type: Article
Times cited : (151)

References (33)
  • 2
    • 0040052023 scopus 로고    scopus 로고
    • Finite-N fluctuations formulas for random matrices
    • 2. Baker, T.H. and Forrester, P.J.: Finite-N fluctuations formulas for random matrices. J. Stat. Phys. 88, nos. 5/6, 1371-1386 (1997)
    • (1997) J. Stat. Phys. , vol.88 , Issue.5-6 , pp. 1371-1386
    • Baker, T.H.1    Forrester, P.J.2
  • 3
    • 0000038422 scopus 로고
    • The theory of the G-function
    • 3. Barnes, E.W.: The theory of the G-function. Quart. J. Pure Appl. Math. 31, 264-314 (1899)
    • (1899) Quart. J. Pure Appl. Math. , vol.31 , pp. 264-314
    • Barnes, E.W.1
  • 4
    • 84968468541 scopus 로고
    • Asymptotic formulas for Toeplitz determinants
    • 4. Basor, E.: Asymptotic formulas for Toeplitz determinants. Trans. Am. Math. Soc. 239, 33-65 (1978)
    • (1978) Trans. Am. Math. Soc. , vol.239 , pp. 33-65
    • Basor, E.1
  • 5
    • 0031499009 scopus 로고    scopus 로고
    • Large deviations for Wigner's law and Voiculescu's non-commutative entropy
    • 5. Ben Arous, G. and Guionnet, A.: Large deviations for Wigner's law and Voiculescu's non-commutative entropy. Probab. Theor. Rel. Fields 108, no. 4, 517-542 (1997)
    • (1997) Probab. Theor. Rel. Fields , vol.108 , Issue.4 , pp. 517-542
    • Ben Arous, G.1    Guionnet, A.2
  • 10
    • 0002542182 scopus 로고
    • Gaussian fluctuation in random matrices
    • 10. Costin, O. and Lebowitz, J.L.: Gaussian fluctuation in random matrices. Phys. Rev. Lett. 75, 69-72 (1995)
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 69-72
    • Costin, O.1    Lebowitz, J.L.2
  • 13
    • 0001891773 scopus 로고
    • On the eigenvalues of random matrices
    • 13. Diaconis, P. and Shahshahani, M.: On the eigenvalues of random matrices. J. Appl. Probab. A 31, 49-62 (1994)
    • (1994) J. Appl. Probab. A , vol.31 , pp. 49-62
    • Diaconis, P.1    Shahshahani, M.2
  • 17
    • 0004052864 scopus 로고
    • Berlin-Heidelberg-New York: Springer
    • 17. Hida, T.: Brownian Motion. Berlin-Heidelberg-New York: Springer, 1980
    • (1980) Brownian Motion
    • Hida, T.1
  • 18
    • 0031525857 scopus 로고    scopus 로고
    • On random matrices from the classical compact groups
    • 18. Johansson, K.: On random matrices from the classical compact groups. Ann. Math. 145, 519-545 (1997)
    • (1997) Ann. Math. , vol.145 , pp. 519-545
    • Johansson, K.1
  • 19
    • 0001459956 scopus 로고    scopus 로고
    • On fluctuations of eigenvalues of random Hermitian matrices
    • 19. Johansson, K.: On fluctuations of eigenvalues of random Hermitian matrices. Duke J. Math. 91, 151-204 (1998)
    • (1998) Duke J. Math. , vol.91 , pp. 151-204
    • Johansson, K.1
  • 20
    • 0000069473 scopus 로고
    • On limit processes for a class of additive functionals of recurrent diffusion processes
    • 20. Kasahara, Y. and Kotani, S.: On limit processes for a class of additive functionals of recurrent diffusion processes. Z. Wahrsch. verw. Gebiete. 49, 133-153 (1979)
    • (1979) Z. Wahrsch. Verw. Gebiete. , vol.49 , pp. 133-153
    • Kasahara, Y.1    Kotani, S.2
  • 21
    • 0034288949 scopus 로고    scopus 로고
    • Random matrix theory and ζ(1/2+it)
    • 21. Keating, J.P. and Snaith, N.C.: Random matrix theory and ζ(1/2+it). Commun. Math. Phys. 214, 57-89 (2000)
    • (2000) Commun. Math. Phys. , vol.214 , pp. 57-89
    • Keating, J.P.1    Snaith, N.C.2
  • 23
  • 25
    • 0031074932 scopus 로고    scopus 로고
    • High powers of random elements of compact Lie groups
    • 25. Rains, E.: High powers of random elements of compact Lie groups. Prob. Th. Rel. Fields 107, 219-241 (1997)
    • (1997) Prob. Th. Rel. Fields , vol.107 , pp. 219-241
    • Rains, E.1
  • 30
    • 22244446790 scopus 로고
    • Spectral functions, special functions and the Selberg zeta function
    • 30. Voros, A.: Spectral functions, special functions and the Selberg zeta function. Commun. Math. Phys. 110, 439-465 (1987)
    • (1987) Commun. Math. Phys. , vol.110 , pp. 439-465
    • Voros, A.1
  • 31
    • 0004109271 scopus 로고
    • Princeton, NJ: Princeton University Press
    • 31. Weyl, H.: Classical Groups. Princeton, NJ: Princeton University Press, 1946
    • (1946) Classical Groups
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.