Equilibrium States for Non-Uniformly Expanding Skew Products
Dynamical Systems
2024-11-20 v1
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.
Keywords
Cite
@article{arxiv.2304.02529,
title = {Equilibrium States for Non-Uniformly Expanding Skew Products},
author = {Gregory Hemenway},
journal= {arXiv preprint arXiv:2304.02529},
year = {2024}
}
Comments
20 pages