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math.DS2025
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
Maximizing entropy for power-free languages
Vaughn Climenhaga
A power-free language is characterized by the number of symbols used and a limit on how many times a block of symbols can repeat consecutively. For certain values of these paramete…