Abstract
We consider contractive Markov systems, a generalization due to Werner of iterated function systems that contract on average. We study a transfer operator for such systems and determine an appropriate function space on which this operator acts quasi-compactly and has good spectral perturbation properties. We discuss how these results apply to the stochastic stability of the invariant measure. © 2013 Copyright Taylor and Francis Group, LLC.
Original language | English |
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Pages (from-to) | 34-47 |
Number of pages | 13 |
Journal | Dynamical Systems: an international journal |
Volume | 28 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Mar 2013 |
Keywords
- contractive Markov systems
- iterated function schemes
- stochastic stability
- transfer operators