5 papers
Concentration inequalities for random dynamical systems
Graccyela Salcedo
We establish concentration inequalities for random dynamical systems (RDSs), assuming that the observables of interest are separately Lipschitz. Under a weak average contraction co…
A version of Oseledets for proximal random dynamical System on the circle
Jamerson Bezerra, Graccyela Salcedo
We study proximal random dynamical systems of homeomorphisms of the circle without a common fixed point. We prove the existence of two random points that govern the behavior of the…
Random Dynamical Systems on the circle without a finite orbit
Dominique Malicet, Graccyela Salcedo
In this paper, we study Random Dynamical Systems (RDSs) of homeomorphisms on the circle without a finite orbit. We characterize the topological dynamics of the associated semigroup…
Synchronization rates and limit laws for random dynamical systems
Katrin Gelfert, Graccyela Salcedo
We study general random dynamical systems of continuous maps on some compact metric space. Assuming a local contraction condition and uniqueness of the stationary measure, we estab…
Contracting on average iterated function systems by metric change
Katrin Gelfert, Graccyela R. Salcedo
We study contraction conditions for an iterated function system of continuous maps on a metric space which are chosen randomly, identically and independently. We investigate metric…