Abstract
We focus in this chapter on a special category of sub-actions, those for which the defining cohomological inequality becomes an equality on the smallest possible subset of the phase space, that is, on the Aubry set. Named separating sub-actions, we will show how they can be obtained from non-trivial convex combinations of the members of the family of calibrated sub-actions given by the Peierls barrier or by the Mañé potential.
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Garibaldi, E. (2017). Separating Sub-actions. In: Ergodic Optimization in the Expanding Case. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-66643-3_7
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DOI: https://doi.org/10.1007/978-3-319-66643-3_7
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