8 papers
Stability Theory for Local Iterated Function Systems
Elismar R. Oliveira, Paulo Varandas
We develop a stability theory for contractive local IFSs on compact metric spaces. Unlike the classical global setting, local systems may exhibit a richer symbolic and geometric st…
Foundations of local iterated function systems
Elismar R. Oliveira, Paulo Varandas
In this paper we present a systematic study of continuous local iterated function systems. We prove local iterated function systems admit compact attractors and, under a contractiv…
Blending attractors of Iterated Function Systems
Elismar R. Oliveira
In this paper we discuss a new method to blend fractal attractors using the code map for the IFS formed by the Hutchinson--Barnsley operators of a finite family of hyperbolic IFSs.…
The Hutchinson-Barnsley theory for iterated function systems with general measures
Elismar R. Oliveira, Rafael R. Souza
In this work we present iterated function systems with general measures(IFSm) formed by a set of maps acting over a compact space , for a compact space of indices, .…
On the Higuchi fractal dimension of invariant measures for countable idempotent iterated function systems
Elismar R. Oliveira
We investigate the set of invariant idempotent probabilities for countable idempotent iterated function systems (IFS) defined in compact metric spaces. We demonstrate that, with co…
Thermodynamic Formalism for a family of cellular automata and duality with the shift
Artur O. Lopes, Elismar R. Oliveira, Marcelo Sobottka
We will consider a family of cellular automata that are not of algebraic type. Our first goal is to determine conditions that result…