40 citations · 133 across the 19 of their papers we have counts for
12 papers · 1 filter
On the Dimension of the Space of Harmonic Functions on Transitive Shift Spaces
L. Cioletti, L. Melo, R. Ruviaro +1
In this paper, we show a new relation between phase transition in one-dimensional Statistical Mechanics and the multiplicity of the dimension of the space of harmonic functions for…
Thermodynamic Formalism for Topological Markov Chains on Borel Standard Spaces
L. Cioletti, E. A. Silva, M. Stadlbauer
We develop a Thermodynamic Formalism for bounded continuous potentials defined on the sequence space , where is a general Borel standard space. In parti…
Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples
Leandro Cioletti, L. Y. Hataishi, Artur O. Lopes +1
In this paper we study spectral triples and non-commutative expectations associated to expanding and weakly expanding maps. In order to do so, we generalize the Perron-Frobenius-Ru…
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…
A Variational Principle for the Specific Entropy for Symbolic Systems with Uncountable Alphabets
D. Aguiar, L. Cioletti, R. Ruviaro
In this paper we derived a variational principle for the specific entropy on the context of symbolic dynamics of compact metric space alphabets and use this result to obtain the un…
Correlation Inequalities and Monotonicity Properties of the Ruelle Operator
Leandro Cioletti, Artur O. Lopes
Let be the symbolic space endowed with the product order. A Borel probability measure over is said to satisfy the FKG inequality if for any pair o…