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Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. II. Finite-dimensional systems. (English) Zbl 1320.37027
The authors’ results from [Trans. Am. Math. Soc. 365, No. 10, 5329–5365 (2013; Zbl 1350.37061)], on what the authors call principal Lyapunov exponents and principal Floquet subspaces, are specialized for positive linear random dynamical systems on finite-dimensional ordered normed vector spaces. Conditions are given for systems generated by products of non-negative matrices and by strongly co-operative or by type-$$K$$ strongly monotone linear differential equations to admit measurable families of generalized principal Floquet subspaces, generalized principal Lyapunov exponents, and generalized exponential splittings.

##### MSC:
 37H15 Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents 34D08 Characteristic and Lyapunov exponents of ordinary differential equations
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