Hermodynamic formalism and k-bonacci substitutions
Jordan Emme

We study k-bonacci substitutions through the point of view of thermodynamic formalism. For each substitution 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: Thermodynamic formalism word combinatorics substitutions pressure function symbolic dynamics

Year of publication

Related Authors

Related Keywords

[Back to Top]