68 citations · 101 across the 17 of their papers we have counts for
20 papers
Optimal transportation and pressure at zero temperature
Jairo K. Mengue
Given two compact metric spaces and , a Lipschitz continuous cost function on and two probabilities , we propose to…
Idempotent approach to level-2 variational principles in Thermodynamical Formalism
A. O. Lopes, J. K. Mengue, E. R. Oliveira
In this work we introduce an idempotent pressure to level-2 functions and its associated density entropy. All this is related to idempotent pressure functions which is the natural…
Large deviation for Gibbs probabilities at zero temperature and invariant idempotent probabilities for iterated function systems
Jairo. K. Mengue, Elismar R. Oliveira
We consider two compact metric spaces and and a uniform contractible iterated function system . For a Lipschitz continuous function o…
On the selection of subaction and measure for perturbed potentials
Renaud Leplaideur, Jairo K Mengue
We prove that when the Aubry set for a Lipschitz continuous potential is a subshift of finite type, then the pressure function converges exponentially fast to its asymptote as the…
Invariant measures for place dependent idempotent iterated function systems
Jairo K. Mengue, Elismar R. Oliveira
We study the set of invariant idempotent probabilities for place dependent idempotent iterated function systems defined in compact metric spaces. Using well-known ideas from dynami…
The generalized IFS Bayesian method and an associated variational principle covering the classical and dynamical cases
Artur O. Lopes, Jairo. K. Mengue
We introduce a general IFS Bayesian method for getting posterior probabilities from prior probabilities, and also a generalized Bayes' rule, which will contemplate a dynamical, as…