메뉴 건너뛰기




Volumn 23, Issue 4, 2010, Pages 945-950

Circular Law for Noncentral Random Matrices

Author keywords

Circular law; Random matrices

Indexed keywords


EID: 78149501031     PISSN: 08949840     EISSN: 15729230     Source Type: Journal    
DOI: 10.1007/s10959-010-0285-8     Document Type: Article
Times cited : (12)

References (20)
  • 1
    • 0025421872 scopus 로고
    • Eigenvalues and singular values of certain random matrices
    • Andrew, A. L.: Eigenvalues and singular values of certain random matrices. J. Comput. Appl. Math. 30(2), 165-171 (1990).
    • (1990) J. Comput. Appl. Math. , vol.30 , Issue.2 , pp. 165-171
    • Andrew, A.L.1
  • 2
    • 0031534271 scopus 로고    scopus 로고
    • Circular law
    • Bai, Z. D.: Circular law. Ann. Probab. 25(1), 494-529 (1997).
    • (1997) Ann. Probab. , vol.25 , Issue.1 , pp. 494-529
    • Bai, Z.D.1
  • 3
    • 0347989448 scopus 로고    scopus 로고
    • Methodologies in spectral analysis of large-dimensional random matrices, a review
    • With comments by G.J. Rodgers and J.W. Silverstein; and a rejoinder by the author
    • Bai, Z. D.: Methodologies in spectral analysis of large-dimensional random matrices, a review. Stat. Sin. 9(3), 611-677 (1999). With comments by G. J. Rodgers and J. W. Silverstein; and a rejoinder by the author.
    • (1999) Stat. Sin. , vol.9 , Issue.3 , pp. 611-677
    • Bai, Z.D.1
  • 5
    • 0001758959 scopus 로고
    • Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix
    • Bai, Z. D., Yin, Y. Q.: Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix. Ann. Probab. 21(3), 1275-1294 (1993).
    • (1993) Ann. Probab. , vol.21 , Issue.3 , pp. 1275-1294
    • Bai, Z.D.1    Yin, Y.Q.2
  • 7
    • 70450193509 scopus 로고    scopus 로고
    • Aspects of large random Markov kernels
    • MR MR2549497
    • Chafaï, D.: Aspects of large random Markov kernels. Stochastics 81(3-4), 415-429 (2009). MR MR2549497.
    • (2009) Stochastics , vol.81 , Issue.3-4 , pp. 415-429
    • Chafaï, D.1
  • 8
    • 72549087149 scopus 로고    scopus 로고
    • The Dirichlet Markov ensemble
    • Chafaï, D.: The Dirichlet Markov ensemble. J. Multivar. Anal. 101, 555-567 (2010).
    • (2010) J. Multivar. Anal. , vol.101 , pp. 555-567
    • Chafaï, D.1
  • 9
    • 0031068715 scopus 로고    scopus 로고
    • The probability that a random real Gaussian matrix has k real eigenvalues, related distributions, and the circular law
    • Edelman, A.: The probability that a random real Gaussian matrix has k real eigenvalues, related distributions, and the circular law. J. Multivar. Anal. 60(2), 203-232 (1997).
    • (1997) J. Multivar. Anal. , vol.60 , Issue.2 , pp. 203-232
    • Edelman, A.1
  • 10
    • 0039799159 scopus 로고
    • The circular law
    • Girko, V. L.: The circular law. Teor. Veroyatn. Primen. 29(4), 669-679 (1984).
    • (1984) Teor. Veroyatn. Primen. , vol.29 , Issue.4 , pp. 669-679
    • Girko, V.L.1
  • 12
    • 0010884799 scopus 로고
    • A brief survey on the spectral radius and the spectral distribution of large random matrices with i.i.d. entries
    • Brunswick, Maine1984Contemp. Math.MR MR841088 (87m:60080), Providence: Am. Math. Soc
    • Hwang, C.-R.: A brief survey on the spectral radius and the spectral distribution of large random matrices with i. i. d. entries. In: Random Matrices and Their Applications, Brunswick, Maine, 1984. Contemp. Math., vol. 50, pp. 145-152. Am. Math. Soc., Providence (1986). MR MR841088 (87m: 60080).
    • (1986) Random Matrices and Their Applications , vol.50 , pp. 145-152
    • Hwang, C.-R.1
  • 14
    • 72549096261 scopus 로고    scopus 로고
    • Circular law, extreme singular values and potential theory
    • Pan, G., Zhou, W.: Circular law, extreme singular values and potential theory. J. Multivar. Anal. 101, 645-656 (2010).
    • (2010) J. Multivar. Anal. , vol.101 , pp. 645-656
    • Pan, G.1    Zhou, W.2
  • 15
    • 41049114969 scopus 로고    scopus 로고
    • The Littlewood-Offord problem and invertibility of random matrices
    • MR MR2407948
    • Rudelson, M., Vershynin, R.: The Littlewood-Offord problem and invertibility of random matrices. Adv. Math. 218(2), 600-633 (2008). MR MR2407948.
    • (2008) Adv. Math. , vol.218 , Issue.2 , pp. 600-633
    • Rudelson, M.1    Vershynin, R.2
  • 16
    • 33847058040 scopus 로고
    • The spectral radii and norms of large-dimensional non-central random matrices
    • Silverstein, J. W.: The spectral radii and norms of large-dimensional non-central random matrices. Commun. Stat. Stoch. Models 10(3), 525-532 (1994).
    • (1994) Commun. Stat. Stoch. Models , vol.10 , Issue.3 , pp. 525-532
    • Silverstein, J.W.1
  • 17
    • 0037143983 scopus 로고    scopus 로고
    • Random regularization of Brown spectral measure
    • Śniady, P.: Random regularization of Brown spectral measure. J. Funct. Anal. 193(2), 291-313 (2002).
    • (2002) J. Funct. Anal. , vol.193 , Issue.2 , pp. 291-313
    • Śniady, P.1
  • 18
    • 44249125025 scopus 로고    scopus 로고
    • Random matrices: The circular law
    • MR MR2409368 (2009d:60091)
    • Tao, T., Vu, V.: Random matrices: the circular law. Commun. Contemp. Math. 10(2), 261-307 (2008). MR MR2409368 (2009d: 60091).
    • (2008) Commun. Contemp. Math. , vol.10 , Issue.2 , pp. 261-307
    • Tao, T.1    Vu, V.2
  • 19
    • 77957124985 scopus 로고    scopus 로고
    • Random matrices: Universality of ESDs and the circular law
    • to appear). arXiv: 0807. 4898 [math. PR]
    • Tao, T., Vu, V.: Random matrices: Universality of ESDs and the circular law. Ann. Probab. (2010, to appear). arXiv: 0807. 4898 [math. PR].
    • (2010) Ann. Probab.
    • Tao, T.1    Vu, V.2
  • 20
    • 0016896723 scopus 로고
    • The behavior of eigenvalues and singular values under perturbations of restricted rank
    • Collection of articles dedicated to Olga Taussky Todd
    • Thompson, R. C.: The behavior of eigenvalues and singular values under perturbations of restricted rank. Linear Algebra Appl. 13(1/2), 69-78 (1976). Collection of articles dedicated to Olga Taussky Todd.
    • (1976) Linear Algebra Appl. , vol.13 , Issue.1-2 , pp. 69-78
    • Thompson, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.