Invariant measures for higher dimensional Markov ...
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Citation
| Title | Invariant measures for higher dimensional Markov switching position dependent random maps |
| Author(s) | M. ISLAM |
| Journal | International Journal of Bifurcation and Chaos |
| Date | 2009 |
| Volume | 19 |
| Issue | 1 |
| Start page | 409 |
| End page | 417 |
| Abstract | A higher dimensional Markov switching position dependent random map is a random map where the probabilities of switching from one higher dimension transformation to another are the entries of a stochastic matrix and the entries of stochastic matrix are functions of positions. In this note, we prove sufficient conditions for the existence of absolutely continuous measures for a class of higher dimensional Markov switching position dependent random maps. Our result is a generalization of the result in [Bahsoun & Góra, 2005; Bahsoun et al., 2005]. |
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