13 citations · 22 across the 3 of their papers we have counts for
3 papers
math.DS2008★ 9 cited
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…
math.DS2008★ 13 cited
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…
math.DS2006
On calibrated and separating sub-actions
Eduardo Garibaldi, Artur O. Lopes, Philippe Thieullen
Consider a transitive expanding dynamical system , and a Hölder potential . In ergodic optimization, one is interested in properties of -maximizing probabilitie…