3 papers
math.DS2026
A Relative Variational Principle for Expanding Iterated Function Systems
Gregory Hemenway, Jason Tu
The variational principle is a key tool in the study of invariant measures for chaotic dynamical systems. In recent times, dynamicists have developed techniques in random and nonst…
math.DS2026
A Nonstationary Ruelle-Perron-Frobenius Theorem
Vaughn Climenhaga, Gregory Hemenway
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…
math.DS2025
Conjugacies of Expanding Skew Products on
Gregory Hemenway
We show that any equilibrium state for a Hölder potential on the model map on is conjugate to Lebesgue measure f…