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Subharmonicity of the Lyaponov index
W. Craig and B. Simon
Source: Duke Math. J. Volume 50, Number 2
(1983), 551-560.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077303209
Mathematical Reviews number (MathSciNet): MR705040
Zentralblatt MATH identifier: 0518.35027
Digital Object Identifier: doi:10.1215/S0012-7094-83-05025-1
References
[1] J. Avron and B. Simon, Almost periodic Schrödinger operators. II. The integrated density of states, Duke Math. J. 50 (1983), no. 1, 369–391.
Mathematical Reviews (MathSciNet): MR85i:34009a
Zentralblatt MATH: 0544.35030
Digital Object Identifier: doi:10.1215/S0012-7094-83-05016-0
Project Euclid: euclid.dmj/1077303014
[2] R. Carmona, Exponential localization in one-dimensional disordered systems, Duke Math. J. 49 (1982), no. 1, 191–213.
Mathematical Reviews (MathSciNet): MR84j:82082
Zentralblatt MATH: 0491.60058
Digital Object Identifier: doi:10.1215/S0012-7094-82-04913-4
Project Euclid: euclid.dmj/1077315080
[3] F. Delyon, H. Kunz, and B. Souillard, One dimensional wave equations in disordered media, Ecole Polytechnique preprint.
Mathematical Reviews (MathSciNet): MR700179
Zentralblatt MATH: 0512.60052
Digital Object Identifier: doi:10.1088/0305-4470/16/1/012
[4] I. Goldsheid, S. Molchanov, and L. Pastur, A pure point spectrum of the stochastic one dimensional Schrödinger equation, Func. Anal. Appl. 11 (1977), 1–10.
Zentralblatt MATH: 0368.34015
[5] M. Hermann, A method for majorizing the Lyaponov exponent and several examples showing the local character of a theorem of Arnold and Moser on the torus of dimension $2$, Ecole Polytechnique preprint.
[6] R. Johnson, Lyaponov exponents for the almost periodic Schrödinger equation, U.S.C. preprint.
[7] R. Johnson and J. Moser, The rotation number for almost periodic potentials, Comm. Math. Phys. 84 (1982), no. 3, 403–438.
Mathematical Reviews (MathSciNet): MR83h:34018
Zentralblatt MATH: 0497.35026
Digital Object Identifier: doi:10.1007/BF01208484
Project Euclid: euclid.cmp/1103921211
[8] H. Kunz and B. Souillard, Sur le spectre des opérateurs aux différences finies aléatoires, Comm. Math. Phys. 78 (1980/81), no. 2, 201–246.
Mathematical Reviews (MathSciNet): MR83f:39003
Zentralblatt MATH: 0449.60048
Digital Object Identifier: doi:10.1007/BF01942371
Project Euclid: euclid.cmp/1103908590
[9] S. Molchanov, The structure of eigenfunctions of one dimensional unordered structures, Math. USSR Ivz. 12 (1978), 69–101.
Zentralblatt MATH: 0401.34023
[10] R. Nevanlinna, Analytic Functions, Springer, 1970.
Mathematical Reviews (MathSciNet): MR279280
[11] V. I. Oseledec, A multiplicative ergodic theorem. Characteristic Ljapunov, exponents of dynamical systems, Trudy Moskov. Mat. Obšč. 19 (1968), 179–210.
Mathematical Reviews (MathSciNet): MR39:1629
Zentralblatt MATH: 0236.93034
[12] B. Simon, Almost periodic Schrödinger operators: A review, Adv. Appl. Math., to appear.
Mathematical Reviews (MathSciNet): MR682631
Digital Object Identifier: doi:10.1016/S0196-8858(82)80018-3
[13] D. Thouless, A relation between the density of states and range of localization for one dimensional random systems, J. Phys. C5 (1972), 77–81.
[14] B. Aupetit, Propriétés spectrales des algèbres de Banach, Lecture Notes in Mathematics, vol. 735, Springer, Berlin, 1979.
Mathematical Reviews (MathSciNet): MR81i:46055
Zentralblatt MATH: 0409.46054
[15] J. D. Newburgh, The variation of spectra, Duke Math. J. 18 (1951), 165–176.
Mathematical Reviews (MathSciNet): MR14,481b
Zentralblatt MATH: 0042.12302
Digital Object Identifier: doi:10.1215/S0012-7094-51-01813-3
Project Euclid: euclid.dmj/1077476396
[16] E. Vesentini, On the subharmonicity of the spectral radius, Boll. Un. Mat. Ital. (4) 1 (1968), 427–429.
Mathematical Reviews (MathSciNet): MR39:6080
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