1 citations · 1 across the 5 of their papers we have counts for
5 papers
Topological Stability of Random -Expansive Systems with Shadowing
M. Oliveira, R. Bilbao, E. Santana
This paper investigates the topological stability of random dynamical systems . Our main goal is to extend the classical result of Walters \cite{Walters77} to the random setting by…
Equilibrium Stability for Open Zooming Systems
Rafael A. Bilbao, Eduardo Santana
We prove that for a wide family of open zooming systems and zooming potentials we have equilibrium stability, i.e., the equilibrium states depend continuously on the dynamics and t…
Equilibrium States for Random Zooming Systems
Rafael A. Bilbao, Marlon Oliveira, Eduardo Santana
In this work, based on Pinheiro for deterministic systems, we extend the notion of zooming systems to the random context and based on the technique of Arbieto-Matheus-Oliveira we p…
Open Zooming Systems: Uniqueness of Equilibrium States
Rafael A. Bilbao, Eduardo Santana
We study open zooming systems and potentials with uniqueness of equilibrium states. The uniqueness is established for a certain class of zooming potentials when the map is topologi…
Uniqueness and Stability of Equilibrium States for Random Non-uniformly Expanding Maps
Rafael Bilbao, Vanessa Ramos
We consider a robust class of random non-uniformly expanding local homeomorphisms and Hölder continuous potentials with small variation. For each element of this class we develop t…