68 citations · 316 across the 71 of their papers we have counts for
5 papers · 1 filter
KMS States, Entropy and a Variational Principle for Pressure
Gilles G. de Castro, Artur O. Lopes
We want to relate the concepts of entropy and pressure to that of KMS states for -Algebras. Several different definitions of entropy are known in our days. The one we describe…
Eigenfunctions of the Laplacian and associated Ruelle operator
Artur O. Lopes, Philippe Thieullen
Let be a co-compact Fuchsian group of isometries on the Poincaré disk $\DD$ and the corresponding hyperbolic Laplace operator. Any smooth eigenfunction of , equivari…
Negative Entropy, Zero temperature and stationary Markov Chains on the interval
Artur O. Lopes, Joana Mohr, Rafael R. Souza +1
We analyze some properties of maximizing stationary Markov probabilities on the Bernoulli space , More precisely, we consider ergodic optimization for a continuou…
A Ruelle Operator for continuous time Markov Chains
Alexandre Baraviera, Ruy Exel, Artur O. Lopes
We consider a generalization of the Ruelle theorem for the case of continuous time problems. We present a result which we believe is important for future use in problems in Mathema…
Renormalization for a Class of Dynamical Systems: some Local and Global Properties
Alexandre Baraviera, Renaud Leplaideur, Artur O. Lopes
We study the period doubling renormalization operator for dynamics which present two coupled laminar regimes with two weakly expanding fixed points. We focus our analysis on the po…