For an iterated function system (IFS), we investigate combinatorial issues relating to the use of random orbits and also we study stochastic properties of random orbits in topological dynamics of semigroup actions. Moreover, ...

Every quasi-attractor of an iterated function system (\\rom{IFS}) of continuous functions on a first-countable Hausdorff topological space is renderable by the probabilistic chaos game. By contrast, we prove that the ...

Abstract. Here, we study the kind of shadowing, limsup shadowing, with

ignoring a finite number of shadowing errors. It is shown that the limsup

shadowing property (Abbrev. LSSP) is stronger than the pseudo ...

Abstract. The article is devoted to exhibit some general properties of strong

chain recurrent set and strong chain transitive components for a continuous

map f on a compact metric space X. We investigate the ...

We construct iterated function systems on compact manifolds that are C1

robustly minimal. On the m-dimensional torus and on two dimensional compact

manifolds, examples are provided of C1 robustly minimal ...