Some stochastic Property of topological action semigroups

TL;DR

This paper investigates the probabilistic behavior of topological action semigroups generated by random iterated function systems, demonstrating that certain properties hold almost surely under specific conditions.

Contribution

It establishes conditions under which topological action semigroups satisfy particular properties with probability one, advancing understanding of their stochastic behavior.

Findings

Certain properties hold almost surely for the system

Conditions for the properties are explicitly characterized

The results apply to a class of random iterated function systems

Abstract

Under suitable conditions, with respect to some property on a random iterated function system(RIFS), it is shown how the system satisfies in this property almost surely.