We study equilibrium states for a class of 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 Hölder potential defined via these fiberwise transfer operators.

中文翻译：

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非均匀扩展偏斜积的平衡状态


我们研究了一类非均匀扩展的偏斜积的平衡状态，并展示了如何使用一系列纤维传递算子来定义沿产品纤维的条件测量。我们证明，平衡状态在乘积基础上的前推本身就是通过这些纤维传递算子定义的 Hölder 势的平衡状态。