메뉴 건너뛰기




Volumn 252, Issue 1-3, 2004, Pages 149-166

On the moments of traces of matrices of classical groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 11244278766     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1231-3     Document Type: Article
Times cited : (30)

References (23)
  • 1
    • 0000254742 scopus 로고
    • Polynomials, defined by a difference system
    • Baxter, G.: Polynomials, defined by a difference system. J. Math. Anal. Appl. 2, 223-263 (1961)
    • (1961) J. Math. Anal. Appl. , vol.2 , pp. 223-263
    • Baxter, G.1
  • 3
    • 0030511354 scopus 로고    scopus 로고
    • Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
    • Brouwer, P., Beenakker, C.: Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems. J. Math. Phys. 37, 4904-4934 (1996)
    • (1996) J. Math. Phys. , vol.37 , pp. 4904-4934
    • Brouwer, P.1    Beenakker, C.2
  • 4
    • 23044525294 scopus 로고    scopus 로고
    • Linear functionals of eigenvalues of random matrices
    • Diaconis, P., Evans, S.: Linear functionals of eigenvalues of random matrices. Trans. of AMS 353, 2615-2633 (2001)
    • (2001) Trans. of AMS , vol.353 , pp. 2615-2633
    • Diaconis, P.1    Evans, S.2
  • 5
    • 0001891773 scopus 로고
    • On the eigenvalues of random matrices
    • Diaconis, P., Shahshahani, M.: On the eigenvalues of random matrices. J. Appl. Probab. 31A, 49-62 (1994)
    • (1994) J. Appl. Probab. , vol.31 A , pp. 49-62
    • Diaconis, P.1    Shahshahani, M.2
  • 6
    • 35549006412 scopus 로고
    • Statistical theory of energy levels of complex systems. I
    • Dyson, F.J.: Statistical theory of energy levels of complex systems. I. J. Math. Phys. 3, 1191-1198 (1962)
    • (1962) J. Math. Phys. , vol.3 , pp. 1191-1198
    • Dyson, F.J.1
  • 7
    • 0035981784 scopus 로고    scopus 로고
    • Integrals of monomials over the orthogonal group
    • Gorin, T.: Integrals of monomials over the orthogonal group. J. Math. Phys. 43, 3342-3351 (2002)
    • (2002) J. Math. Phys. , vol.43 , pp. 3342-3351
    • Gorin, T.1
  • 8
    • 0033536523 scopus 로고    scopus 로고
    • Fluctuations and ergodicity of the form factor of quantum propagators and random unitary matrices
    • Haake, F., Sommers, H.-J., Weber, J.: Fluctuations and ergodicity of the form factor of quantum propagators and random unitary matrices. J. Phys.: Math. Gen. A32, 6903-6913 (1999)
    • (1999) J. Phys.: Math. Gen. , vol.A32 , pp. 6903-6913
    • Haake, F.1    Sommers, H.-J.2    Weber, J.3
  • 9
    • 0037471288 scopus 로고    scopus 로고
    • Mock-Gaussian behaviour for linear statistics of classical compact groups
    • Hughes, C.P., Rudnick, Z.: Mock-Gaussian behaviour for linear statistics of classical compact groups. J. Phys. A: Math. Gen. 36, 2919-2932 (2003)
    • (2003) J. Phys. A: Math. Gen. , vol.36 , pp. 2919-2932
    • Hughes, C.P.1    Rudnick, Z.2
  • 10
    • 0142026313 scopus 로고    scopus 로고
    • Linear statistics of low lying zeros of L-functions
    • Hughes, C.P., Rudnick, Z.: Linear statistics of low lying zeros of L-functions. Quarterly J. of Math. 54, 309-333 (2003)
    • (2003) Quarterly J. of Math. , vol.54 , pp. 309-333
    • Hughes, C.P.1    Rudnick, Z.2
  • 11
    • 0031525857 scopus 로고    scopus 로고
    • On random matrices from the compact groups
    • Johansson, K.: On random matrices from the compact groups. Ann. of Math. 145, 519-545 (1997)
    • (1997) Ann. of Math. , vol.145 , pp. 519-545
    • Johansson, K.1
  • 14
    • 0035981712 scopus 로고    scopus 로고
    • Integration over matrix spaces with unique invariant measure
    • Prosen, T., Seligman, T.A., Weidenmuller, H.A.: Integration over matrix spaces with unique invariant measure. J. Math. Phys. 43, 5135-5144 (2002)
    • (2002) J. Math. Phys. , vol.43 , pp. 5135-5144
    • Prosen, T.1    Seligman, T.A.2    Weidenmuller, H.A.3
  • 15
    • 0031074932 scopus 로고    scopus 로고
    • High powers of random elements of compact Lee groups
    • Rains, E.: High powers of random elements of compact Lee groups. Prob. Theory and Related Fields 107, 219-241 (1997)
    • (1997) Prob. Theory and Related Fields , vol.107 , pp. 219-241
    • Rains, E.1
  • 16
    • 84972571821 scopus 로고
    • Characters of Brauer's algebras
    • Ram, A.: Characters of Brauer's algebras. Pacific J. Math. 169, 173-200 (1995); A "second orthogonality relation" for characters of Brauer's algebras. European J. Combinat. 18, 685-706 (1997)
    • (1995) Pacific J. Math. , vol.169 , pp. 173-200
    • Ram, A.1
  • 17
    • 21744441714 scopus 로고    scopus 로고
    • A "second orthogonality relation" for characters of Brauer's algebras
    • Ram, A.: Characters of Brauer's algebras. Pacific J. Math. 169, 173-200 (1995); A "second orthogonality relation" for characters of Brauer's algebras. European J. Combinat. 18, 685-706 (1997)
    • (1997) European J. Combinat. , vol.18 , pp. 685-706
  • 19
    • 36749105566 scopus 로고
    • U(N) Integrals, 1/N, and de Witt-t'Hooft anomalies
    • Samuel, S.: U(N) Integrals, 1/N, and De Witt-t'Hooft anomalies. J. Math. Phys. 21, 2695-2703 (1980)
    • (1980) J. Math. Phys. , vol.21 , pp. 2695-2703
    • Samuel, S.1
  • 20
    • 0034214587 scopus 로고    scopus 로고
    • The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities
    • Soshnikov, A.: The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities. Ann. Probab. 28, 1353-1370 (2000)
    • (2000) Ann. Probab. , vol.28 , pp. 1353-1370
    • Soshnikov, A.1
  • 22
    • 36749112217 scopus 로고
    • Asymptotic behavior of group integrals in the limit of infinite rank
    • Weingarten, D.: Asymptotic behavior of group integrals in the limit of infinite rank. J. Math. Phys. 19, 999-1001 (1977)
    • (1977) J. Math. Phys. , vol.19 , pp. 999-1001
    • Weingarten, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.