Abstract
Abstract
In (2015 Ann. Sci. Éc. Norm. Supér.
48 739–763), Bruin and Leplaideur studied a class of potentials such that the pressure function exhibit a phase transition at a parameter β
c
> 0. This paper will prove that the transition in pressure function cannot appear within the interval
0
,
2
.
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Reference22 articles.
1. Représentation géométrique de suites de complexité 2n + 1;Arnoux;Bull. Soc. Math. France,1991
2. Fibonacci words—a survey;Berstel,1986
3. Thermodynamic formalism and substitutions;Bédaride,2015
4. Renormalization, thermodynamic formalism and quasi-crystals in subshifts;Bruin;Commun. Math. Phys.,2013
5. Renormalization, freezing phase transitions and Fibonacci quasicrystals;Bruin;Ann. Sci. Éc. Norm. Supér.,2015