13 citations · 30 across the 12 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.DS2008
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…