Journal of the Korean Mathematical Society vol. 36, no. 4, pp. 737 - 746
Indexed
SCIE; SCOPUS; KCI
Document Type
Article
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.