Conservativity of random Markov fibred systems
2008 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- DENKER, MANFRED; KIFER, YURI; STADLBAUER, MANUEL
- Abstract
- In this paper we extend results concerning conservativity and the existence of -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 -finite invariant measures.
- Issue Date
- 2008
- Journal
- Ergodic Theory and Dynamical Systems
- Organization
- Fakultät für Mathematik und Informatik
- ISSN
- 1469-4417; 0143-3857
- Language
- English