Thermodynamic formalism and $k$-bonacci substitutions
  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. 
Jordan Emme (I2M, AMU)
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