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arXiv · 2509.25467

A Nonstationary Ruelle-Perron-Frobenius Theorem

Vaughn Climenhaga·Gregory Hemenway
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Abstract

The Ruelle-Perron-Frobenius theorem is a powerful tool in the study of equilibrium measures and their statistical properties. We prove a nonstationary version of this theorem under general conditions involving an invariant sequence of real convex cones in function space.

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Vaughn Climenhaga, Gregory Hemenway. 2025-09-29. A Nonstationary Ruelle-Perron-Frobenius Theorem. https://arxiv.org/abs/2509.25467

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