In ergodic optimization, for any separable Banach space of potentials densely embedded in C(X), the non-unique-maximizing functions lie in a countable union of hypersurfaces.
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Typical Uniqueness in Ergodic Optimization
In ergodic optimization, for any separable Banach space of potentials densely embedded in C(X), the non-unique-maximizing functions lie in a countable union of hypersurfaces.