EASY ISING OR CURIE-WEISS MODEL EXPLAINED TO ERGODICISTS
Résumé
We state a dictionary for thermodynamic formalism within the Curie-Weiss model between the Probability-Statistical Mechanics and the Ergodic viewpoints. Limits for probabilistic Gibbs measures are identified as combinations of, say N (β), dynamical conformal measures. Phase transitions are then related to a change in N (β) as β moves. More surprising we point out that, to be closer to what is done in Statistical Mechanics, ergodicists should study the supremum of the sum of the entropy and the square of the integral of the potential instead of the sum of the entropy and the integral of the potential.
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