15 citations · 18 across the 18 of their papers we have counts for
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Directional derivatives and the central limit theorem on compact general one-dimensional lattices
Artur O. Lopes, Victor Vargas
We will show the central limit theorem for the general one-dimensional lattice where the space of symbols is a compact metric space. We consider the CLT for Lipschitz-Gibbs probabi…
Idempotent approach to level-2 variational principles in Thermodynamical Formalism
A. O. Lopes, J. K. Mengue, E. R. Oliveira
In this work we introduce an idempotent pressure to level-2 functions and its associated density entropy. All this is related to idempotent pressure functions which is the natural…
The Dirac operator for the pair of Ruelle and Koopman operators, and a generalized Boson formalism
William M. M. Braucks, Artur O. Lopes
Denote by the maximal entropy measure for the shift map acting on , by the associated Ruelle operator and by the Koopma…
Parametrized Families of Gibbs Measures and their Statistical Inference
Manfred Denker, Marc Keßeböhmer, Artur O. Lopes +1
For Hölder continuous functions , , on a subshift of finite type and we consider a parametrized family of potentials $\{F_θ= f_0+\sum_{i…
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…
Level-2 IFS Thermodynamic Formalism: Gibbs probabilities in the space of probabilities and the push-forward map
A. O. Lopes, E. R. Oliveira
We will denote by the space of Borel probabilities on the symbolic space . is equipped Monge-Kantorovich metric. We consider…