# Thermodynamic formalism for generalized countable Markov shifts

@article{Raszeja2020ThermodynamicFF,
title={Thermodynamic formalism for generalized countable Markov shifts},
author={Thiago Raszeja},
journal={arXiv: Mathematical Physics},
year={2020}
}
• T. Raszeja
• Published 17 December 2020
• Mathematics
• arXiv: Mathematical Physics
Countable Markov shifts, denoted by $\Sigma_A$ for a 0-1 infinite matrix $A$, are central objects in symbolic dynamics and ergodic theory. R. Exel and M. Laca introduced the corresponding operator algebras, a generalization of the Cuntz-Krieger algebras for infinite countable alphabet, and the set $X_A$, a kind of Generalized Markov Shift (GMS) that coincides with $\Sigma_A$ in the locally compact case. The set $\Sigma_A$ is dense in $X_A$, and its complement, a set of finite allowed words, is…
1 Citations

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