20 citations · 98 across the 10 of their papers we have counts for
10 papers
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…
Geometric properties of disintegration of measures
Renata Possobon, Christian S. Rodrigues
In this paper, we study a connection between disintegration of measures and geometric properties of probability spaces. We prove a disintegration theorem, addressing disintegration…
On the regular representation of measures
Jürgen Jost, Rostislav Matveev, Jacobus W. Portegies +1
We give sufficient conditions for a parametrised family of probability measures on a Riemannian manifold with boundary to be represented by random maps of class . The conditio…
Diffusion in randomly perturbed dissipative dynamics
Christian S. Rodrigues, Aleksei V. Chechkin, Alessandro P. S. de Moura +2
Dynamical systems having many coexisting attractors present interesting properties from both fundamental theoretical and modelling points of view. When such dynamics is under bound…
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…