Equilibrium States for Non-Uniformly Expanding Skew Products
arXiv:2304.02529 · doi:10.1017/etds.2023.111
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 Hölder potential defined via these fiberwise transfer operators.
20 pages