17 citations · 50 across the 28 of their papers we have counts for
33 papers
Thermodynamic formalism for general iterated function systems with measures
Jader E. Brasil, Elismar R. Oliveira, Rafael Rigão Souza
This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators…
The Hutchinson-Barnsley theory for generalized iterated function systems by means of infinite iterated function systems
Elismar R. Oliveira
The study of generalized iterated function systems (GIFS) was introduced by Mihail and Miculescu in 2008. We provide a new approach to study those systems as the limit of the Hutch…
On I-eigenvalue free threshold graphs
Luiz Emilio Allem, Elismar R. Oliveira, Fernando Tura
A graph is said to be I-eigenvalue free if it has no eigenvalues in the interval I with respect to the adjacency matrix A. In this paper we present two algorithms for generating I-…
Making the computation of approximations of invariant measures and its attractors for IFS and GIFS, through the deterministic algorithm, tractable
Rudnei D. da Cunha, Elismar R. Oliveira
We present algorithms to compute approximations of invariant measures and its attractors for IFS and GIFS, using the deterministic algorithm in a tractable way, with code optimizat…
Fuzzy-set approach to invariant idempotent measures
Rudnei D. da Cunha, Elismar R. Oliveira, Filip Strobin
We provide a new approach to the Hutchinson-Barnsley theory for idempotent measures first presented in N. Mazurenko, M. Zarichnyi, Invariant idempotent measures, Carpathian Math. P…
Existence of invariant idempotent measures by contractivity of idempotent Markov operators
Rudnei D. da Cunha, Elismar R. Oliveira, Filip Strobin
We prove that the idempotent Markov operator generated by contractive max plus normalized iterated function system (IFS) is also a contractive map w.r.t. natural metrics on the spa…