A collection of invariant measures is the freezing collection for some potential if and only if it has constant entropy and is the equilibrium collection for some potential.
On separation and approximation of real func tions defined on a Choquet simplex
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On the Equivalence of Equilibrium and Freezing States in Dynamical Systems
A collection of invariant measures is the freezing collection for some potential if and only if it has constant entropy and is the equilibrium collection for some potential.