Ergodic optimization, zero temperature limits and the max-plus algebra

• DOI: 10.48550/arxiv.1305.2396
• Publication Date: 2013-01-01
• Authors: Alexandre Baraviera; Renaud Leplaideur; Artur O. Lopes
• Keywords: Formalism (music); Zero order; Zero (linguistics); Zero temperature

Lecture notes of a course at the Brazilian Mathematical Colloquium. We review some basic notions in ergodic theory and thermodynamic formalism, as well introductory results context max-plus algebra, order to exhibit properties equilibrium measures when temperature goes zero.