Abstract
We consider a class of discrete parameter processes on a locally compact Banach space S arising from successive compositions of strictly stationary random maps with state space C(S,S), where C(S,S) is the collection of continuous functions on S into itself. Sufficient conditions for stationary solutions are found. Existence of pth moments and convergence of empirical distributions for trajectories are proved.
Original language | English |
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Pages (from-to) | 737-746 |
Number of pages | 10 |
Journal | Journal of the Korean Mathematical Society |
Volume | 36 |
Issue number | 4 |
State | Published - 1999 |
Keywords
- Convergence in distribution
- Iteration of random maps
- Lipschitz maps
- Stationary process