Thermodynamic formalism and $k$-bonacci substitutions
Dynamical Systems
2017-10-24 v2 Combinatorics
Abstract
We study -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.
Keywords
Cite
@article{arxiv.1602.08340,
title = {Thermodynamic formalism and $k$-bonacci substitutions},
author = {Jordan Emme},
journal= {arXiv preprint arXiv:1602.08340},
year = {2017}
}