A. Lopes

collaborators

3 papers

math-ph2025

Thermodynamic formalism for continuous-time quantum Markov semigroups: the detailed balance condition, entropy, pressure and equilibrium quantum processes

Jader E. Brasil, Josue Knorst, Artur O. Lopes

$M_{n} (C)$ denotes the set of $n$ by $n$ complex matrices. Consider continuous time quantum semigroups $P_{t} = e^{t L}$ , $t \geq 0$ , where $\mathcal{L}:M…

math.PR2025

An introduction to Coupling

Artur O. Lopes

In this review paper, we describe the use of couplings in several different mathematical problems. We consider the total variation norm, maximal coupling, and the $d ˉ$ -distanc…

math.DS2024

Geodesics and dynamical information projections on the manifold of HÃ¶lder equilibrium probabilities

Artur O. Lopes, Rafael O. Ruggiero

We consider here the discrete time dynamics described by a transformation $T : M \to M$ , where $T$ is either the action of shift $T = I ¨ $ on the symbolic space $M=\{1,2,...,d\}^\mathbb…