Conservativity of random Markov fibred systems

Manfred Denker, Yuri Kifer, Manuel Stadlbauer

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)67-85
Number of pages19
JournalErgodic Theory and Dynamical Systems
Volume28
Issue number1
DOIs
StatePublished - Feb 1 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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