T. Kucherenko

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math.DS2026

Asymptotic behavior of the pressure function for HÃ¶lder potentials

Tamara Kucherenko, Anthony Quas

We study the behavior of the pressure function for HÃ¶lder continuous potentials on mixing subshifts of finite type. The classical theory of thermodynamic formalism shows that such…

math.DS2026

Computability of $G$ -Beroulli Measures and Measures of Maximal Entropy on Coded Shift Spaces

Tamara Kucherenko, Marco LÃ³pez, Christian Wolf

In this paper, we investigate the computability of $G$ -Bernoulli measures, with a particular focus on measures of maximal entropy (MMEs) on coded shift spaces. Coded shif…

math.DS2025

Freezing Phase Transitions for Lattice Systems and Higher-Dimensional Subshifts

J. -R. Chazottes, T. Kucherenko, A. Quas

Let $X = A^{Z^{d}}$ , where $d \geq 1$ and $A$ is a finite set, equipped with the action of the shift map. For a given continuous potential $Ï: \mathcal{…

math.DS2024

Ergodic theory on coded shift spaces

Tamara Kucherenko, Martin Schmoll, Christian Wolf

We study ergodic-theoretic properties of coded shift spaces. A coded shift space is defined as a closure of all bi-infinite concatenations of words from a fixed countable generatin…