68 citations · 316 across the 71 of their papers we have counts for
4 papers · 2 filters
Entropy, Pressure and Duality for Gibbs plans in Ergodic Transport
A. O. Lopes, J. K. Mengue, J. Mohr +1
Let be a finite set and be the Bernoulli space. Denote by the shift map acting on . For a fixed probability on with supp(), d…
A thermodynamic formalism for continuous time Markov chains with values on the Bernoulli Space: entropy, pressure and large deviations
Artur O. Lopes, Adriana Neumann, Philippe Thieullen
Through this paper we analyze the ergodic properties of continuous time Markov chains with values on the one-dimensional spin lattice 1,...,d}^N (also known as the Bernoulli space)…
Maximizing measures for expanding transformations
Gonzalo Contreras, Artur Lopes, Phillipe Thieullen
On a one-sided shift of finite type we prove that for a generic Holder continuous function there is a unique maximizing measure. We show that b-Holder continuous functions can be a…
Ergodic optimization, zero temperature limits and the max-plus algebra
A. T. Baraviera, R. Leplaideur, A. O. Lopes
Lecture notes of a course at the Brazilian Mathematical Colloquium. We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in t…