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Volumn 144, Issue 1-2, 2009, Pages 179-220

General tridiagonal random matrix models, limiting distributions and fluctuations

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EID: 60449111966     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-008-0145-y     Document Type: Article
Times cited : (30)

References (15)
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    • Methodologies in spectral analysis of large dimensional random matrices: A review
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    • Z.D. Bai 1999 Methodologies in spectral analysis of large dimensional random matrices: a review Stat. Sin. 9 3 611 661
    • (1999) Stat. Sin. , vol.9 , pp. 611-661
    • Bai, Z.D.1
  • 3
    • 0036850051 scopus 로고    scopus 로고
    • Matrix models for beta ensembles
    • 11
    • I. Dumitriu A. Edelman 2002 Matrix models for beta ensembles J. Math. Phys. 43 11 5830 5847
    • (2002) J. Math. Phys. , vol.43 , pp. 5830-5847
    • Dumitriu, I.1    Edelman, A.2
  • 4
    • 33745683206 scopus 로고    scopus 로고
    • Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models
    • 11
    • I. Dumitriu A. Edelman 2006 Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models J. Math. Phys. 47 11 5830 5847
    • (2006) J. Math. Phys. , vol.47 , pp. 5830-5847
    • Dumitriu, I.1    Edelman, A.2
  • 5
    • 0042309538 scopus 로고
    • Combinatorial aspects of continued fractions
    • P. Flajolet 1980 Combinatorial aspects of continued fractions Discrete Math. 32 125 161
    • (1980) Discrete Math. , vol.32 , pp. 125-161
    • Flajolet, P.1
  • 6
    • 0004163930 scopus 로고
    • 2 Academic Press London
    • Mehta, M.L.: Random Matrices, 2nd edn. Academic Press, London (1991)
    • (1991) Random Matrices
    • Mehta, M.L.1
  • 8
    • 0033473406 scopus 로고    scopus 로고
    • Universality at the edge of the spectrum in wigner random matrices
    • 3
    • A. Soshnikov 1999 Universality at the edge of the spectrum in wigner random matrices Commun. Math. Phys. 207 3 697 733
    • (1999) Commun. Math. Phys. , vol.207 , pp. 697-733
    • Soshnikov, A.1
  • 9
    • 27144550468 scopus 로고    scopus 로고
    • Central limit theorem for traces of large symmetric matrices with independent matrix elements
    • A. Soshnikov Y. Sinai 1998 Central limit theorem for traces of large symmetric matrices with independent matrix elements Bol. Soc. Bras. Mat. 29 1 24
    • (1998) Bol. Soc. Bras. Mat. , vol.29 , pp. 1-24
    • Soshnikov, A.1    Sinai, Y.2
  • 14
    • 0000840166 scopus 로고
    • Characteristic vectors of bordered matrices with infinite dimensions
    • E.P. Wigner 1955 Characteristic vectors of bordered matrices with infinite dimensions Ann. Math. 62 548 564
    • (1955) Ann. Math. , vol.62 , pp. 548-564
    • Wigner, E.P.1
  • 15
    • 0001560594 scopus 로고
    • On the distribution of the roots of certain symmetric matrices
    • E.P. Wigner 1958 On the distribution of the roots of certain symmetric matrices Ann. Math. 67 325 327
    • (1958) Ann. Math. , vol.67 , pp. 325-327
    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.