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

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

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 zer...

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Veröffentlicht in:arXiv.org 2013-06
Hauptverfasser: Baraviera, A T, Leplaideur, R, Lopes, A O
Format: Artikel
Sprache:eng
Schlagworte:
Ergodic processes
Optimization
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Beschreibung
Zusammenfassung: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.
ISSN:2331-8422