1,128 research outputs found
On the existence of absolutely continuous σ-finite invariant measures for random dynamical systems (Research on the Theory of Random Dynamical Systems and Fractal Geometry)
Get PDFσ-finite acims for weakly expanding random maps with uniformly contractive branches (Problems on mathematical science and new development in the theory of dynamical systems)
Get PDFRandom invariant densities for Markov operator cocycles and random mean ergodic theorem
Full text linkIn the present paper, we consider random invariant densities and the mean
ergodic theorem for Markov operator cocycles which are applicable to quenched
type random dynamical systems. We give necessary and sufficient conditions for
the existence of random invariant measures for Markov operator cocycles and
establish the mean ergodic theorem for generalized linear operator cocycles
over arbitrary Banach spaces. The advantage of the result is that we show the
implication of weak precompactness for almost every environments to strong
convergence in the global sense
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