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arXiv · 2304.02529

Equilibrium States for Non-Uniformly Expanding Skew Products

Gregory Hemenway
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Abstract

We study equilibrium states for non-uniformly expanding skew products, and show how a family of fiberwise transfer operators can be used to define the conditional measures along fibers of the product. We prove that the pushforward of the equilibrium state onto the base of the product is itself an equilibrium state for a H\"older potential defined via these fiberwise transfer operators.

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Gregory Hemenway. 2023-04-05. Equilibrium States for Non-Uniformly Expanding Skew Products. https://doi.org/10.1017/etds.2023.111

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