6 citations · 9 across the 6 of their papers we have counts for
9 papers
Some Probabilistic Properties of General Topological Markov Chains
Eduardo A. Silva, Elis G. Mesquita, Edgar Matias
In this paper, we utilize the framework of Markov processes to attain a more probabilistic perspective on the theory of transfer operators. In doing so, we establish a functional c…
Random iterations of paracontraction maps and applications to feasibility problems
Edgar Matias, Majela Pentón Machado
In this paper, we consider the problem of finding an almost surely common fixed point of a family of paracontraction maps indexed on a probability space, which we refer to as the s…
Random iterations of maps on : asymptotic stability, synchronization and functional central limit theorem
Edgar Matias, Eduardo Silva
We study independent and identically distributed random iterations of continuous maps defined on a connected closed subset of the Euclidean space . We assume th…
Markovian Random Iterations of Maps
Edgar Matias
In this paper, we study Markovian random iterations of maps on standard measurable spaces. We establish a one-to-one correspondence between stationary measures and a certain class…
Non-hyperbolic Iterated Function Systems: semifractals and the chaos game
Lorenzo J. Díaz, Edgar Matias
We consider iterated functions systems (IFS) on compact metric spaces and introduce the concept of target sets. Such sets have very rich dynamical properties and play a similar rol…
Random products of maps synchronizing on average
Edgar Matias, Ítalo Melo
We present a necessary and sufficient condition for a random product of maps on a compact metric space to be (strongly) synchronizing on average.
Attracting graphs of skew products with non-contracting fiber maps
Lorenzo J. Díaz, Edgar Matias
We study attracting graphs of step skew products from the topological and ergodic points of view where the usual contracting-like assumptions of the fiber dynamics are replaced by…
Stability of the Markov operator and synchronization of Markovian random products
Lorenzo J. Díaz, Edgar Matias
We study Markovian random products on a large class of "m-dimensional" connected compact metric spaces (including products of closed intervals and trees). We introduce a splitting…
Non-hyperbolic Iterated Function Systems: attractors and stationary measures
Edgar Matias, Lorenzo J. Díaz
We consider iterated function systems consisting of continuous self maps of a compact metric space . We introduce the subset of {\…