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References
L. Arnold, (1984). A formula connecting sample and moment stability of linear stochastic systems, SIAM Journal on Applied Mathematics, 44, 793–802.
L. Arnold, W. Kliemann & E. Oeljeklaus, (1985). Lyapunov exponents of linear stochastic systems. In Lecture Notes in mathematics, 1186, Lyapunov Exponents, Ed. L. Arnold & V. Wihstutz, 85–126. Springer-Verlag, New York.
L. Arnold, E. Oeljeklaus & E. Pardoux, (1985). Almost-sure and moment stability for linear Ito systems. In Lecture Notes in Mathematics, 1186, Lyapunov Exponents, Ed. L. Arnold & V. Wihstutz, 129–159. Springer-Verlag, New York.
L. Arnold, G. Papanicolaou & V. Wihstutz, (1986). Asymptotic analysis of the Lyapunov exponent and rotation number of the random oscillator and applications. SIAM Journal on Applied Mathematics, 46, 427–450.
P.H. Baxendale, (1987). Moment stability and large deviations for linear stochastic differential equations. In Proceedings of the Taniguchi Symposium on Probabilistic Methods in Mathematics. Katata & Kyoto 1985, Ed. N. Ikeda, 31–54.
G.L. Blankenship & C.W. Li, (1986). Almost-sure stability of linear stochastic systems with Poisson coefficients. SIAM Journal on Applied Mathematics, 46, 875–911.
H. Crauel, (1984). Lyapunov numbers of Markov solutions of linear stochastic systems, Stochastics, 14, 1–18.
R.Z. Has'minskii, (1967). Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems, Theory of Probability & Applications, 12, 144–147.
R.Z. Has'minskii, (1980). Stochastic Stability of Differential Equations. Sijthoff & Noordhoof, Alphan aan den Rijn, the Netherland.
V. Wihstutz, (1985). Parameter dependence of the Lyapunov exponent for linear stochastic systems. A survey. In Lecture Notes in Mathematics, Lyapunov Exponents. Ed. L. Arnold & V. Wihstutz, 200–215. Springer-Verlag, New York.
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© 1991 Springer-Verlag
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Leizarowitz, A. (1991). Eigenvalue representation for the Lyapunov exponents of certain Markov processes. In: Arnold, L., Crauel, H., Eckmann, JP. (eds) Lyapunov Exponents. Lecture Notes in Mathematics, vol 1486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086657
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DOI: https://doi.org/10.1007/BFb0086657
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