Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces

Abstract

Pointwise and mean ergodic theorems under dierent assumptions for subadditive super- stationary families of random sets whose values are weakly (or strongly) compact convex subsets of a separable Banach space are presented. The results generalize the results of [14], where random sets in Rd are considered. Techniques used here are inspired by [3].