非均匀扩展倾斜积的均衡状态

Pub Date : 2023-12-11 DOI:10.1017/etds.2023.111

GREGORY HEMENWAY

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引用次数: 0

摘要

我们研究了一类非均匀扩展偏斜积的均衡状态，并展示了如何使用纤维转移算子族来定义沿着积的纤维的条件量纲。我们证明，对于通过这些纤向转移算子定义的霍尔德势，平衡态向积的基部的前推本身就是平衡态。

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Equilibrium states for non-uniformly expanding skew products

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.

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