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.
Renormalization, the rmodynamic formalism and quasi-crystals in subshifts
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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.