A. O. Lopes

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20112026

most citedA dynamical point of view of Quantum Information: entropy and pressure

15 citations · 18 across the 18 of their papers we have counts for

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Showing 2024 · math.DSShow all

5 papers · 2 filters

math.DS2024

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…

math.DS2024

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…

math.DS2024

Parametrized Families of Gibbs Measures and their Statistical Inference

Manfred Denker, Marc Keßeböhmer, Artur O. Lopes +1

For Hölder continuous functions $f_{i}$ , $i = 0, \dots, d$ , on a subshift of finite type and $Θ \subset R^{d}$ we consider a parametrized family of potentials $\{F_θ= f_0+\sum_{i…

math.DS2024

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 $Φ : {1, 2, ..., r}^{N} ↻$ that are not of algebraic type. Our first goal is to determine conditions that result…

math.DS2024

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 $M$ the space of Borel probabilities on the symbolic space $Ω = {1, 2..., m}^{N}$ . $M$ is equipped Monge-Kantorovich metric. We consider…