most citedNegative Entropy, Zero temperature and stationary Markov Chains on the interval

13 citations · 22 across the 3 of their papers we have counts for

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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…