Keywords
- Invariant Measure
- Stationary Sequence
- Jacobi Matrice
- Positive Lebesgue Measure
- Herglotz Function
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References
H. FURSTENBERG: Non-commuting random products. Trans. Amer. Math. Soc. 108 (1963) p. 377–428.
Y. GUIVARC'H: Marches aléatoires à pas markovien. C.R.A.S. Paris 289 (1979) p. 211–213.
M. de GUZMAN: Differentiation of integrals in Rn. Springer Lect. Notes in Maths. 481 (1975).
S. KOTANI: Lyapunov indices determine absolutely continuous spectra of stationary random one-dimensional Schrödinger operators. Proc. Kyoto Stoch. Conference (1982).
S. KULLBACK: Information theory and Statistics. Wiley-New-York (1959).
F. LEDRAPPIER: Quelques propriétés des exposants caractéristiques Ecole d'Eté de Probabilités XII Saint-Flour 1982 Springer Lect. Notes in Maths. 1097 (1984).
F. LEDRAPPIER, G. ROYER: Croissance exponentielle de certains produits aléatoires de matrices. C.R.A.S. Paris 290 (1980) p. 49–62.
F. LEDRAPPIER, L.S. YOUNG: The metric entropy of diffeomorphisms I, II. Preprints M.S.R.I. 1984.
V. A. ROHLIN: On the fundamental ideas of measure theory. Amer. Math. Trans. (1) 10 (1962) p. 1–52.
G. ROYER: Croissance exponentielle de produits markoviens de matrices aléatoires. Ann. I.H.P. 16 (1980) p. 49–62.
B. SIMON: Kotani theory for One-dimensional Stochastic Jacobi Matrices. Commun. Math. Phys. 89 (1983) p. 227–234.
A. D. VIRTSER: On products of random matrices and operators. Th. Prob. Appl. 24 (1979) p. 367–377.
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© 1986 Springer-Verlag
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Ledrappier, F. (1986). Positivity of the exponent for stationary sequences of matrices. In: Arnold, L., Wihstutz, V. (eds) Lyapunov Exponents. Lecture Notes in Mathematics, vol 1186. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076833
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DOI: https://doi.org/10.1007/BFb0076833
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