Phase transitions on one-dimensional symbolic systems
By Tamara Kucherenko
Approximating entropy/pressure for multidimensional shifts of finite type
By Ronnie Pavlov
Appears in collection : Combinatorics on words / Combinatoire des mots - Week 5
We provide a complete characterisation of automaticity of uniformly recurrent substitutive sequences in terms of the incidence matrix of the return substitution of an underlying purely substitutive sequence. This gives an answer to a recent question of Allouche, Dekking and Queffélec in the uniformly recurrent case.