메뉴 건너뛰기




Volumn 220, Issue 3, 2009, Pages 657-669

On the permanent of random Bernoulli matrices

Author keywords

Permanent; Random matrices

Indexed keywords


EID: 56949087479     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2008.09.006     Document Type: Article
Times cited : (27)

References (14)
  • 2
    • 56949084409 scopus 로고    scopus 로고
    • J. Bourgain, V. Vu, P. Wood, On the singularity probability of random discrete matrices, preprint
    • J. Bourgain, V. Vu, P. Wood, On the singularity probability of random discrete matrices, preprint
  • 3
    • 0010981220 scopus 로고
    • On a lemma of Littlewood and Offord
    • Erdo{combining double acute accent}s P. On a lemma of Littlewood and Offord. Bull. Amer. Math. Soc. 51 (1945) 898-902
    • (1945) Bull. Amer. Math. Soc. , vol.51 , pp. 898-902
    • Erdos, P.1
  • 4
    • 84974146770 scopus 로고
    • The number of spanning trees, Hamilton cycles, and perfect matchings in a random graph
    • Janson S. The number of spanning trees, Hamilton cycles, and perfect matchings in a random graph. Combin. Probab. Comput. 3 1 (1994) 97-126
    • (1994) Combin. Probab. Comput. , vol.3 , Issue.1 , pp. 97-126
    • Janson, S.1
  • 5
    • 84968494236 scopus 로고
    • On the probability that a random ±1 matrix is singular
    • Kahn J., Komlós J., and Szemerédi E. On the probability that a random ±1 matrix is singular. J. Amer. Math. Soc. 8 (1995) 223-240
    • (1995) J. Amer. Math. Soc. , vol.8 , pp. 223-240
    • Kahn, J.1    Komlós, J.2    Szemerédi, E.3
  • 6
    • 0004108913 scopus 로고
    • On the determinant of (0, 1) matrices
    • Komlós J. On the determinant of (0, 1) matrices. Studia Sci. Math. Hungar. 2 (1967) 7-22
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 7-22
    • Komlós, J.1
  • 7
    • 25544469014 scopus 로고
    • On the determinant of random matrices
    • Komlós J. On the determinant of random matrices. Studia Sci. Math. Hungar. 3 (1968) 387-399
    • (1968) Studia Sci. Math. Hungar. , vol.3 , pp. 387-399
    • Komlós, J.1
  • 8
    • 56949085106 scopus 로고    scopus 로고
    • Circulated note
    • reproduced as Theorem 14.11. Bollobás B. (Ed), Cambridge Univ. Press
    • Komlós J. Circulated note. reproduced as Theorem 14.11. In: Bollobás B. (Ed). Random Graphs. second ed. (2001), Cambridge Univ. Press
    • (2001) Random Graphs. second ed.
    • Komlós, J.1
  • 9
    • 56949104300 scopus 로고    scopus 로고
    • Some extensions of Girko's limit theorems for permanents of random matrices
    • Rempala G., and Gupta A. Some extensions of Girko's limit theorems for permanents of random matrices. Random Oper. Stochastic Equations 8 4 (2000) 305-318
    • (2000) Random Oper. Stochastic Equations , vol.8 , Issue.4 , pp. 305-318
    • Rempala, G.1    Gupta, A.2
  • 10
    • 0037683238 scopus 로고    scopus 로고
    • Asymptotic behavior of random permanents
    • Rempala G., and Wesołowski J. Asymptotic behavior of random permanents. Statist. Probab. Lett. 45 (1999) 149-158
    • (1999) Statist. Probab. Lett. , vol.45 , pp. 149-158
    • Rempala, G.1    Wesołowski, J.2
  • 11
    • 33645288547 scopus 로고    scopus 로고
    • On random ±1 matrices: Singularity and Determinant
    • Tao T., and Vu V. On random ±1 matrices: Singularity and Determinant. Random Structures Algorithms 28 1 (2006) 1-23
    • (2006) Random Structures Algorithms , vol.28 , Issue.1 , pp. 1-23
    • Tao, T.1    Vu, V.2
  • 12
    • 41049103477 scopus 로고    scopus 로고
    • On the singularity probability of random Bernoulli matrices
    • Tao T., and Vu V. On the singularity probability of random Bernoulli matrices. J. Amer. Math. Soc. 20 3 (2007) 603-628
    • (2007) J. Amer. Math. Soc. , vol.20 , Issue.3 , pp. 603-628
    • Tao, T.1    Vu, V.2
  • 13
    • 18844380989 scopus 로고    scopus 로고
    • Permanents of matrices of signed ones
    • Wanless I.M. Permanents of matrices of signed ones. Linear Multilinear Algebra 53 (2005) 427-433
    • (2005) Linear Multilinear Algebra , vol.53 , pp. 427-433
    • Wanless, I.M.1
  • 14
    • 0033070921 scopus 로고    scopus 로고
    • The permanent rank of a matrix
    • Yu Y. The permanent rank of a matrix. J. Combin. Theory Ser. A 85 (1999) 237-242
    • (1999) J. Combin. Theory Ser. A , vol.85 , pp. 237-242
    • Yu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.