68 citations · 316 across the 71 of their papers we have counts for
5 papers · 2 filters
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 $…
Entropy and Variational principles for holonomic probabilities of IFS
Artur O. Lopes, Elismar R. Oliveira
Associated to a IFS one can consider a continuous map , defined by were $Σ=\{0,1, ..., d-1\}^{\mathbb{N…
C*- Algebras and Thermodynamic Formalism
Ruy Exel, Artur O. Lopes
We present a detailed exposition (for a Dynamical System audience) of the content of the paper: R. Exel and A. Lopes, Algebras, approximately proper equivalence relations and…
Poncelet pairs and the Twist Map associated to the Poncelet Billiard
Artur O. Lopes, M. Sebastiani
We show that for a fixed curve and for a family of variables curves , the number of -Poncelet pairs is , where is the number of natural numbers $m…
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…