66 citations · 78 across the 4 of their papers we have counts for
4 papers
Generalized hyperbolicity for linear operators
P. Cirilo, B. Gollobit, E. Pujals
It is introduced an open class of linear operators on Banach and Hilbert spaces such that their non-wandering set is an infinite dimensional topologically mixing subspace. In certa…
Expansivity and Shadowing in Linear Dynamics
Nilson C. Bernardes, Patricia R. Cirilo, Udayan B. Darji +2
In the early 1970's Eisenberg and Hedlund investigated relationships between expansivity and spectrum of operators on Banach spaces. In this paper we establish relationships betwee…
Ergodic properties of skew products in infinite measure
Patricia Cirilo, Yuri Lima, Enrique Pujals
Let (Ω,μ) be a shift of finite type with a Markov probability, and (Y,ν) a non-atomic standard measure space. For each symbol i of the symbolic space, let Φ_i be a measure-preservi…
Law of large numbers for certain cylinder flows
Patricia Cirilo, Yuri Lima, Enrique Pujals
We construct new examples of cylinder flows, given by skew product extensions of irrational rotations on the circle, that are ergodic and rationally ergodic along a subsequence of…