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

By Alexandre Tavares Baraviera, Renaud Leplaideur, Artur Oscar Lopes. 2013

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/91a2564cbec0057b112eddd0418ec92c8e03433d