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Volumn 28, Issue 4, 2000, Pages 1563-1587

Eigenvalue distributions of random permutation matrices

Author keywords

Permutations; Random matrices

Indexed keywords


EID: 0034562132     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1019160498     Document Type: Article
Times cited : (31)

References (19)
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  • 2
    • 0006032034 scopus 로고
    • The cycle structure of random permutations
    • ARRATIA, R. and TAVARÉ, S. (1992). The cycle structure of random permutations. Ann. Probab. 20 1567-1591.
    • (1992) Ann. Probab. , vol.20 , pp. 1567-1591
    • Arratia, R.1    Tavaré, S.2
  • 3
    • 84990663493 scopus 로고
    • Limit theorems for combinatorial structures via discrete process approximations
    • ARRATIA, R. and TAVARÉ, S. (1992). Limit theorems for combinatorial structures via discrete process approximations. Random Structures Algorithms 3 321-345.
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    • Arratia, R.1    Tavaré, S.2
  • 4
    • 0033443150 scopus 로고    scopus 로고
    • On the distribution of the length of the longest increasing subsequence of random permutations
    • BAIK, J., DEIFT, P. and JOHANSSON, K. (1998). On the distribution of the length of the longest increasing subsequence of random permutations. J. Amer. Math. Soc. 12 1119-1178.
    • (1998) J. Amer. Math. Soc. , vol.12 , pp. 1119-1178
    • Baik, J.1    Deift, P.2    Johansson, K.3
  • 6
    • 0002542182 scopus 로고
    • Gaussian fluctuation in random matrices
    • COSTIN, O. and LEBOWITZ, J. (1995). Gaussian fluctuation in random matrices. Phys. Rev. Lett. 75 69-72.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 69-72
    • Costin, O.1    Lebowitz, J.2
  • 7
    • 0001891773 scopus 로고
    • On the eigenvalues of random matrices
    • DIACONIS, P. and SHAHSHAHANI, M. (1994). On the eigenvalues of random matrices. J. Appl. Probab. 31 49-61.
    • (1994) J. Appl. Probab. , vol.31 , pp. 49-61
    • Diaconis, P.1    Shahshahani, M.2
  • 9
    • 84860869690 scopus 로고
    • The fundamental limit theorems in probability
    • FELLER, W. (1945). The fundamental limit theorems in probability. Bull. Amer. Math. Soc. 51 800-832.
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    • Feller, W.1
  • 15
    • 0031074932 scopus 로고    scopus 로고
    • High powers of random elements of compact lie groups
    • RAINS, E. (1997). High powers of random elements of compact lie groups. Probab. Theory Related Fields 107 219-241.
    • (1997) Probab. Theory Related Fields , vol.107 , pp. 219-241
    • Rains, E.1
  • 17
    • 84968490734 scopus 로고
    • Ordered cycle lengths in a random permutation
    • SHEPP, L. A. and LLOYD, S. P. (1966). Ordered cycle lengths in a random permutation. Trans. Amer. Math. Soc. 121 340-357.
    • (1966) Trans. Amer. Math. Soc. , vol.121 , pp. 340-357
    • Shepp, L.A.1    Lloyd, S.P.2
  • 18
    • 0032285810 scopus 로고    scopus 로고
    • Level spacings distribution for large random matrices: Gaussian fluctuations
    • SOSHNIKOV, A. (1998). Level spacings distribution for large random matrices: Gaussian fluctuations. Ann. Math. 148 573-617.
    • (1998) Ann. Math. , vol.148 , pp. 573-617
    • Soshnikov, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.