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… 
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