6 citations · 6 across the 2 of their papers we have counts for
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math.DS2009
Minimax probabilities for Aubry-Mather Problems
Diogo A. Gomes, Nara Jung, Artur O. Lopes
In this paper we study minimax Aubry-Mather measures and its main properties. We consider first the discrete time problem and then the continuous time case. In the discrete time pr…
math.DS2007★ 6 cited
The Mather measure and a Large Deviation Principle for the Entropy Penalized Method
Diogo A. Gomes, Artur O. Lopes, Joana Mohr
We present a large deviation principle for the entropy penalized Mather problem when the Lagrangian L is generic (in this case the Mather measure is unique and the support of $…
math.DS2007
Exponential decay of correlation for the Stochastic Process associated to the Entropy Penalized Method
Diogo A. Gomes, Artur O. Lopes
In this paper we present an upper bound for the decay of correlation for the stationary stochastic process associated with the Entropy Penalized Method. Let $L(x, v):\Tt^n\times\Rr…