15 citations · 18 across the 18 of their papers we have counts for
4 papers · 1 filter
Ergodic Theory in Classical and Bayesian Inference
Artur O. Lopes
We begin by presenting the mathematical rationale underlying classical deductive inference. We then introduce the foundational ideas of the Bayesian inference framework. Results ly…
Abstract Theory of Bogoliubov Linearizations with Application to Nonlinear Thermodynamic Formalism
Jean-Bernard Bru, Walter de Siqueira Pedra, Artur Oscar Lopes
Bogoliubov's 1947 approximation, originally developed in the microscopic theory of superfluidity, laid the foundation for solving previously intractable quantum models and later be…
Ergodic Optimization and Ground States: a brief Introduction
Artur O. Lopes
Our goal in this short note is to briefly and succinctly describe some basic concepts and properties of Ergodic Optimization for readers unfamiliar with the subject. We avoid techn…
A Dynamical Approach to Non-Extensive Thermodynamics
Artur O. Lopes, Paulo Varandas
We develop a non-extensive thermodynamic formalism for the one-sided shift on a finite alphabet, inspired by Tsallis' generalization of Boltzmann entropy in statistical physics. We…