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arXiv · 2102.03666

Open Zooming Systems: Uniqueness of Equilibrium States

Rafael A. Bilbao·Eduardo Santana
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Abstract

We study open zooming systems and potentials with uniqueness of equilibrium states. The uniqueness is established for a certain class of zooming potentials when the map is topologically exact, including the null one. Also, with equilibrium stability, we prove that there exists a countable and an open sets of continuous potentials with uniqueness which are both dense in the set of continuous potentials with finiteness. The results here are related to the works [14] and [49] where finiteness and stability are studied.

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Rafael A. Bilbao, Eduardo Santana. 2021-02-06. Open Zooming Systems: Uniqueness of Equilibrium States. https://arxiv.org/abs/2102.03666

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