Ergodic optimization, zero temperature limits and the max-plus algebra. Paper from the 29th Brazilian mathematics colloquium – 29\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 22 – August 2, 2013. (English) Zbl 1385.37011
Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0356-9/pbk). 108 p., open access (2013).
Summary: 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.
MSC:
| 37A60 | Dynamical aspects of statistical mechanics |
| 82C70 | Transport processes in time-dependent statistical mechanics |
| 37D35 | Thermodynamic formalism, variational principles, equilibrium states for dynamical systems |
