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math.DS2013★ 4 cited
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…
math.PR2013
Degenerate semigroups and stochastic flows of mappings in foliated manifolds
Paulo Henrique P da Costa, Paulo R. Ruffino
Let be a compact Riemannian foliated manifold. We consider a family of compatible Feller semigroups in associated to laws of the -point motion. Under…