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A formula for the Lyapunov numbers of a stochastic flow. Application to a perturbation theorem. (English) Zbl 0557.60048

See the preview in Zbl 0538.60069.

MSC:

60H25 Random operators and equations (aspects of stochastic analysis)
93E15 Stochastic stability in control theory

Citations:

Zbl 0538.60069
Full Text: DOI

References:

[1] Arnold L., In Probabilistic Analysis and Related Topics 3 (1981)
[2] Arnold V. I., Ordinary Differential Equations (1973) · Zbl 0296.34001
[3] Carverhill A. P., Sto-chastics
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[5] Crauel H., Stochastics
[6] Eliasson H., J. Diff. Geom 1 (1967)
[7] Elworthy K. D., Stochastic Differential Equations on Manifolds (1982) · Zbl 0514.58001 · doi:10.1017/CBO9781107325609
[8] Khas’minskii R. Z., Th. Prob. Appl 12 pp 144– (1967) · doi:10.1137/1112019
[9] Khas’minskii R. Z., Stochastic Stability of Differential Equations 1969 (1980)
[10] Kingman J. F. C., Introduction to Measure and Probability (1966) · Zbl 0171.38603 · doi:10.1017/CBO9780511897214
[11] Kliemann W., Lyapunov Exponents of Linear Stochastic Systems (1983) · Zbl 0521.92004
[12] Parry W., Cambridge Tracts in Mathematics 75 (1981)
[13] Ruelle D., Publ. Math. IHES 50 pp 275– (1979) · Zbl 0426.58014 · doi:10.1007/BF02684768
[14] Ventsel A. D., Russian Math. Surveys 25 pp 1– (1970) · Zbl 0297.34053 · doi:10.1070/RM1970v025n01ABEH001254
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