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arXiv · 1602.08340

Thermodynamic formalism and $k$-bonacci substitutions

Jordan Emme
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Abstract

We study $k$-bonacci substitutions. For each we define a renormalization operator associated to it and examine its iterates over potentials in a certain class. We also study the pressure function associated to potentials in this class and prove the existence of a freezing phase transition which is realized by the only ergodic measure on the subshift associated to the substitution.

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Jordan Emme. 2016-02-26. Thermodynamic formalism and $k$-bonacci substitutions. https://doi.org/10.3934/dcds.2017157

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