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Volumn 9, Issue 4, 2009, Pages 461-483

Sturm sequences and random eigenvalue distributions

Author keywords

Hermite ensemble; Eigenvalue histogramming; Histogram variance; Largest eigenvalue distribution; Level densities; Random matrices; Shooting eigenvectors; Sturm sequences

Indexed keywords

HERMITE; HISTOGRAM VARIANCE; HISTOGRAMMING; LARGEST EIGENVALUE DISTRIBUTIONS; LEVEL DENSITY; RANDOM MATRICES; STURM SEQUENCES;

EID: 70349561091     PISSN: 16153375     EISSN: 16153383     Source Type: Journal    
DOI: 10.1007/s10208-008-9037-x     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 0031535563 scopus 로고    scopus 로고
    • The Calogero-Sutherland model and generalized classical polynomials
    • T. Baker, P.J. Forrester, The Calogero-Sutherland model and generalized classical polynomials, Commun. Math. Phys.188, 175-216 (1997).
    • (1997) Commun. Math. Phys. , vol.188 , pp. 175-216
    • Baker, T.1    Forrester, P.J.2
  • 2
    • 33646069301 scopus 로고    scopus 로고
    • Hermite and Laguerre β-ensembles: Asymptotic corrections to the eigenvalue density
    • P. Desrosiers, P.J. Forrester, Hermite and Laguerre β-ensembles: Asymptotic corrections to the eigenvalue density, Nucl. Phys. B743(3), 307-332 (2006).
    • (2006) Nucl. Phys. B , vol.743 , Issue.3 , pp. 307-332
    • Desrosiers, P.1    Forrester, P.J.2
  • 3
    • 0036850051 scopus 로고    scopus 로고
    • Matrix models for beta ensembles
    • I. Dumitriu, A. Edelman, Matrix models for beta ensembles, J. Math. Phys.43(11), 5830-5847 (2002).
    • (2002) J. Math. Phys. , vol.43 , Issue.11 , 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
    • I. Dumitriu, A. Edelman, Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models, J. Math. Phys.47(6), 063302 (2006).
    • (2006) J. Math. Phys. , vol.47 , Issue.6 , pp. 063302
    • Dumitriu, I.1    Edelman, A.2
  • 5
    • 34247596045 scopus 로고    scopus 로고
    • MOPS: Multivariate orthogonal polynomials (symbolically)
    • I. Dumitriu, A. Edelman, G. Shuman, MOPS: Multivariate orthogonal polynomials (symbolically), J. Symb. Comput.42(6), 587-620 (2007).
    • (2007) J. Symb. Comput. , vol.42 , Issue.6 , pp. 587-620
    • Dumitriu, I.1    Edelman, A.2    Shuman, G.3
  • 6
    • 84876660336 scopus 로고    scopus 로고
    • A. Edelman, Stochastic differential equations and random matrices
    • A. Edelman, Stochastic differential equations and random matrices. http://www-math.mit.edu/~edelman/homepage/talks/siam2003.ppt.
  • 7
    • 19844372999 scopus 로고    scopus 로고
    • Random matrix theory
    • A. Edelman, N.R. Rao, Random matrix theory, Acta Numer.14, 233-297 (2005).
    • (2005) Acta Numer. , vol.14 , pp. 233-297
    • Edelman, A.1    Rao, N.R.2
  • 8
    • 34249901791 scopus 로고    scopus 로고
    • From random matrices to stochastic operators
    • A. Edelman, B. Sutton, From random matrices to stochastic operators, J. Stat. Phys.127(6), 1121-1165 (2007).
    • (2007) J. Stat. Phys. , vol.127 , Issue.6 , pp. 1121-1165
    • Edelman, A.1    Sutton, B.2
  • 9
    • 0001459956 scopus 로고    scopus 로고
    • On fluctuations of eigenvalues of random hermitian matrices
    • K. Johansson, On fluctuations of eigenvalues of random hermitian matrices, Duke Math. J.91(1), 151-204 (1998).
    • (1998) Duke Math. J. , vol.91 , Issue.1 , pp. 151-204
    • Johansson, K.1
  • 11
    • 84876659941 scopus 로고    scopus 로고
    • J. Ramírez, B. Rider, B. Virag, Beta ensembles, stochastic airy spectrum, and a diffusion (2006). arXiv:math/0607331v2
    • J. Ramírez, B. Rider, B. Virag, Beta ensembles, stochastic airy spectrum, and a diffusion (2006). arXiv:math/0607331v2
  • 13
    • 0039990549 scopus 로고    scopus 로고
    • The distribution of the largest eigenvalue in the Gaussian ensembles, in Calogero-Moser-Sutherland models
    • C.A. Tracy, H. Widom, The distribution of the largest eigenvalue in the Gaussian ensembles, in Calogero-Moser-Sutherland models, CRM Ser. Math. Phys.4, 461-472 (2000).
    • (2000) CRM Ser. Math. Phys. , vol.4 , pp. 461-472
    • Tracy, C.A.1    Widom, H.2
  • 15
    • 0001560594 scopus 로고
    • On the distribution of the roots of certain symmetric matrices
    • E.P. Wigner, On the distribution of the roots of certain symmetric matrices, Ann. Math.67, 325-328 (1958).
    • (1958) Ann. Math. , vol.67 , pp. 325-328
    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.