17 citations · 50 across the 28 of their papers we have counts for
4 papers · 1 filter
On the connection between a skew product IFS and the ergodic optimization for a finite family of potentials
Elismar R. Oliveira
We study a skew product IFS on the cylinder defined by Baker-like maps associated to a finite family of potential functions and the doubling map. We show that there exist a compact…
Continuous groupoids on the symbolic space, quasi-invariant probabilities for Haar systems and the Haar-Ruelle operator
Artur O. Lopes, Elismar R. Oliveira
We consider groupoids on , cocycles and the counting measure as transverse function. We generalize results relating quasi-invariant probabilities with eige…
Thermodynamic Formalism for Iterated Function Systems with Weights
L. Cioletti, Elismar R. Oliveira
This paper introduces an intrinsic theory of Thermodynamic Formalism for Iterated Functions Systems with general positive continuous weights (IFSw).We study the spectral properties…
No two starlikes have equal index
Elismar R. Oliveira, Dragan Stevanović, Vilmar Trevisan
The index of a graph is the largest eigenvalue of its adjacency matrix. A starlike is a tree having a unique vertex of degree . We show how to order the starlike trees with $n…