Ergodic optimization, zero temperature limits and the max-plus algebra
Dynamical Systems
2013-06-06 v2
Abstract
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 the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.
Cite
@article{arxiv.1305.2396,
title = {Ergodic optimization, zero temperature limits and the max-plus algebra},
author = {A. T. Baraviera and R. Leplaideur and A. O. Lopes},
journal= {arXiv preprint arXiv:1305.2396},
year = {2013}
}
Comments
103 pages, misprints of the previous version fixed