20 citations · 98 across the 10 of their papers we have counts for
4 papers · 1 filter
On shadowing and Stochastic Stability
Hector Suni Puma, Christian S. Rodrigues
In this paper, we study stochastic stability of a dynamical system with shadowing property, which evolves under small random perturbation. We prove that time averages along the pse…
A family of rotation numbers for discrete random dynamics on the circle
Christian S. Rodrigues, Paulo R. C. Ruffino
We revisit the problem of well-defining rotation numbers for discrete random dynamical systems on the circle. We show that, contrasting with deterministic systems, the topological…
Representation of Markov chains by random maps: existence and regularity conditions
Jürgen Jost, Martin Kell, Christian S. Rodrigues
We systematically investigate the problem of representing Markov chains by families of random maps, and which regularity of these maps can be achieved depending on the properties o…
Topological bifurcations of minimal invariant sets for set-valued dynamical systems
Jeroen S. W. Lamb, Martin Rasmussen, Christian S. Rodrigues
We discuss the dependence of set-valued dynamical systems on parameters. Under mild assumptions which are often satisfied for random dynamical systems with bounded noise and contro…