5 papers
(co)Quasi-irreducible and (co)expanding random maps
Pablo G. Barrientos, Isaia Nisoli, Dominique Malicet
We study quasi-irreducibility, expansion, and their cotangent duals for random (local) diffeomorphisms on compact invariant sets of a Riemannian manifold. Quasi-irreducibilit…
Mostly contracting random maps
Pablo G. Barrientos, Dominique Malicet
We study the long-term behavior of independent random iterations of Lipschitz transformations on a compact metric space. Such a random map is said to be mostly contracting if all L…
Finitude of physical measures for Markovian random maps
Pablo G. Barrientos, Dominique Malicet, Fumihiko Nakamura +2
We study the finiteness of physical measures for skew-product transformations associated with discrete-time random dynamical systems driven by ergodic Markov chains. We develop…
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…
Limit distributions for polynomials with independent and identically distributed entries
Ronan Herry, Dominique Malicet, Guillaume Poly
We characterize the limiting distributions of random variables of the form , where: (i) is a sequence of multivariate polynomia…