22 citations · 44 across the 12 of their papers we have counts for
10 papers · 1 filter
(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…
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…
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…
Random actions of homeomorphisms of Cantor sets embedded in a line and Tits alternative
Dominique Malicet, Emmanuel Militon
In 2000, Margulis proved that any group of homeomorphisms of the circle either preserves a probabilty measure on the circle or contains a free subgroup in two generators, which is…
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications
Sébastien Alvarez, Pablo G. Barrientos, Dmitry Filimonov +4
In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of r…