# Thermodynamic Formalism for Generalized Markov Shifts on Infinitely Many States

@inproceedings{Bissacot2018ThermodynamicFF, title={Thermodynamic Formalism for Generalized Markov Shifts on Infinitely Many States}, author={Rodrigo Bissacot and Ruy Exel and Rodrigo Frausino and Thiago Raszeja}, year={2018} }

Given a 0-1 infinite matrix $A$ and its countable Markov shift $\Sigma_A$, one of the authors and M. Laca have introduced a kind of {\it generalized countable Markov shift} $X_A=\Sigma_A \cup Y_A$, where $Y_A$ is a special set of finite admissible words. For some of the most studied countable Markov shifts $\Sigma_A$, $X_A$ is a compactification of $\Sigma_A$, and always it is at least locally compact. We developed the thermodynamic formalism on the space $X_A$, exploring the connections with…

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