68 citations · 316 across the 71 of their papers we have counts for
83 papers
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 -distanc…
Noncommutative integration, quantum mechanics, Tannaka's theorem for compact groupoids and examples
Artur O. Lopes, Marcos Sebastian, Victor Vargas
We consider topological groupoids in finite and also in a compact settings. In the initial sections, we introduce definitions of typical observables and we studied them in the cont…
The generalized IFS Bayesian method and an associated variational principle covering the classical and dynamical cases
Artur O. Lopes, Jairo. K. Mengue
We introduce a general IFS Bayesian method for getting posterior probabilities from prior probabilities, and also a generalized Bayes' rule, which will contemplate a dynamical, as…
Thermodynamic Formalism on the Skorokhod space: the continuous time Ruelle operator, entropy, pressure, entropy production and expansiveness
J. Knorst, A. O. Lopes, G. Muller +1
Consider the semi-flow given by the continuous time shift , , acting on the of \textit{càdlàg} paths $w: [0,\infty) \to S…
Geodesics and dynamical information projections on the manifold of Hölder equilibrium probabilities
Artur O. Lopes, Rafael O. Ruggiero
We consider here the discrete time dynamics described by a transformation , where is either the action of shift on the symbolic space $M=\{1,2,...,d\}^\mathbb{…
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
denotes the set of by complex matrices. Consider continuous time quantum semigroups , , where $\mathcal{L}:M…