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Volumn 148, Issue , 2005, Pages 331-346

The Thouless formula for random non-Hermitian Jacobi matrices

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EID: 32544446284     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02775442     Document Type: Article
Times cited : (26)

References (22)
  • 1
    • 84972566320 scopus 로고
    • Almost periodic Schrödinger operators II. The integrated density of states
    • J. Avron and B. Simon, Almost periodic Schrödinger operators II. The integrated density of states, Duke Mathematical Journal 50 (1983), 369-391.
    • (1983) Duke Mathematical Journal , vol.50 , pp. 369-391
    • Avron, J.1    Simon, B.2
  • 2
    • 0003250795 scopus 로고
    • Products of random matrices with applications to Schrödinger operators
    • Birkhäuser, Boston-Basel-Stuttgart
    • P. Bougerol and J. Lacroix, Products of random matrices with applications to Schrödinger operators, Progress in Probability and Statistics, Vol. 8, Birkhäuser, Boston-Basel-Stuttgart, 1985.
    • (1985) Progress in Probability and Statistics , vol.8
    • Bougerol, P.1    Lacroix, J.2
  • 4
    • 84972546484 scopus 로고
    • Subharmonicity of the Lyapunov index
    • W. Craig and B. Simon, Subharmonicity of the Lyapunov Index, Duke Mathematical Journal 50 (1983), 551-560.
    • (1983) Duke Mathematical Journal , vol.50 , pp. 551-560
    • Craig, W.1    Simon, B.2
  • 5
    • 0034341433 scopus 로고    scopus 로고
    • Lyapunov exponent and density of states of a one-dimensional non-Hermitian Schrodinger equation
    • B. Derrida, J. L. Jacobsen and R. Zeitak, Lyapunov exponent and density of states of a one-dimensional non-Hermitian Schrodinger equation, Journal of Statistical Physics 08 (2000), 31-55.
    • (2000) Journal of Statistical Physics , vol.8 , pp. 31-55
    • Derrida, B.1    Jacobsen, J.L.2    Zeitak, R.3
  • 6
    • 0009371751 scopus 로고
    • The positivity of the Lyapunov exponent and the absence of the absolutely continuous spectrum for almost-Mathieu equation
    • A. L. Figotin and L. A. Pastur, The positivity of the Lyapunov exponent and the absence of the absolutely continuous spectrum for almost-Mathieu equation, Journal of Mathematical Physics 25 (1984), 774-777.
    • (1984) Journal of Mathematical Physics , vol.25 , pp. 774-777
    • Figotin, A.L.1    Pastur, L.A.2
  • 11
    • 0041742512 scopus 로고    scopus 로고
    • Regular spacings of complex eigenvalues in the one-dimensional non-Hermitian Anderson model
    • I. Ya. Goldsheid and B. A. Khoruzhenko, Regular spacings of complex eigenvalues in the one-dimensional non-Hermitian Anderson model, Communications in Mathematical Physics 238 (2003), 505-524.
    • (2003) Communications in Mathematical Physics , vol.238 , pp. 505-524
    • Goldsheid, I.Ya.1    Khoruzhenko, B.A.2
  • 13
    • 3342992472 scopus 로고    scopus 로고
    • Localization transitions in non-Hermitian quantum mechanics
    • N. Hatano and D. R. Nelson, Localization transitions in non-Hermitian quantum mechanics, Physical Review Letters 77 (1996), 570-573.
    • (1996) Physical Review Letters , vol.77 , pp. 570-573
    • Hatano, N.1    Nelson, D.R.2
  • 14
    • 0000600130 scopus 로고    scopus 로고
    • Vortex pinning and non-Hermitian quantum mechanics
    • N. Hatano and D. R. Nelson, Vortex pinning and non-Hermitian quantum mechanics, Physical Review B56 (1997), 8651-8673.
    • (1997) Physical Review , vol.B56 , pp. 8651-8673
    • Hatano, N.1    Nelson, D.R.2
  • 18
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems
    • V. I. Oseledec, A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems, Transactions of the Moscow Mathematical Society 19 (1968), 197-221.
    • (1968) Transactions of the Moscow Mathematical Society , vol.19 , pp. 197-221
    • Oseledec, V.I.1
  • 21
    • 0011052989 scopus 로고
    • Eigenvalue distribution of nonselfadjoint Toeplitz matrices and the asymptotics of the Toeplitz determinants in the case of nonvanishing index
    • H. Widom, Eigenvalue distribution of nonselfadjoint Toeplitz matrices and the asymptotics of the Toeplitz determinants in the case of nonvanishing index, Operator Theory: Advances and Applications 48 (1990), 387-421.
    • (1990) Operator Theory: Advances and Applications , vol.48 , pp. 387-421
    • Widom, H.1
  • 22
    • 0002638049 scopus 로고
    • Eigenvalue distribution for nonselfadjoint Toeplitz matrices
    • H. Widom, Eigenvalue distribution for nonselfadjoint Toeplitz matrices, Operator Theory: Advances and Applications 71 (1994), 1-8.
    • (1994) Operator Theory: Advances and Applications , vol.71 , pp. 1-8
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.