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arxiv: 1305.2396 · v2 · pith:DDCZMK6Hnew · submitted 2013-05-10 · 🧮 math.DS

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

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keywords algebraergodicmax-plussometemperaturezerobasicbrazilian
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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.

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