Invariant measures for higher dimensional Markov ...
|Title||Invariant measures for higher dimensional Markov switching position dependent random maps|
|Author(s)||M. D. S. ISLAM|
|Journal||International Journal of Bifurcation and Chaos|
|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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