A. Lopes

activity

19952025

most citedEntropy and Variational Principle for one-dimensional Lattice Systems with a general a-priori probability: positive and zero temperature

68 citations · 316 across the 71 of their papers we have counts for

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Showing 2022 · math.DSShow all

3 papers · 2 filters

math.DS2022

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…

math.DS2022★ 1 cited

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 $Θ_{t} : D \to D$ , $t \geq 0$ , acting on the $D$ of \textit{càdlàg} paths $w: [0,\infty) \to S…

math.DS2022

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 $T : M \to M$ , where $T$ is either the action of shift $T = σ$ on the symbolic space $M=\{1,2,...,d\}^\mathbb{…