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- W2053342122 abstract "Abstract In this paper we extend results concerning conservativity and the existence of σ -finite measures to random transformations which admit a countable relative Markov partition. We consider random systems which are locally fibre-preserving and which admit a countable, relative Markov partition. If the system is relative irreducible and satisfies a relative distortion property we deduce that the system is either totally dissipative or conservative and ergodic. For conservative systems, we provide sufficient conditions for the existence of absolutely continuous σ -finite invariant measures." @default.
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- W2053342122 date "2008-02-01" @default.
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- W2053342122 title "Conservativity of random Markov fibred systems" @default.
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- W2053342122 doi "https://doi.org/10.1017/s0143385707000594" @default.
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