A. O. Lopes

activity

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

collaborators

Showing 2025Show all

3 papers · 1 filter

math.DS2025

Nonlinear Thermodynamic Formalism: Mean-field Phase Transitions, Large Deviations and Bogoliubov's Variational Principle

Jean-Bernard Bru, Walter de Siqueira Pedra, Artur O. Lopes

Let $Ω = {1, 2, \dots, d}^{N}$ , $T$ be the shift acting on $Ω$ , $P (T)$ the set of $T$ -invariant probabilities. Given a Hölder potential $A$ and a continuous funct…

math.OA2025

A noncommutative Ruelle's Theorem for a normalized potential taking values on positivity-improving operators

W. M. M. Braucks, A. O. Lopes

Let $\mathcal{A}$ be a finite-dimensional real (or complex) C*-algebra, $Ω_{A}$ an aperiodic subshift of finite type, and $\mathcal{C}(Ω_{A}; \mathcal{A})$ the set of continu…

math-ph2025

The Dirac operator for the Ruelle-Koopman pair on L^p-spaces: an interplay between Connes distance and symbolic dynamics

William Braucks, Artur O. Lopes

Denote by $μ$ the maximal entropy measure for the shift $σ$ acting on $Ω = {0, 1}^{N}$ , by $\ruelle$ the associated Ruelle operator and by $\koopman = \ruelle^{\dagger…