Thermodynamic Formalism for a family of cellular automata and duality with the shift

Artur O. Lopes, Elismar R. Oliveira, Marcelo Sobottka

We will consider a family of cellular automata $\Phi :\{1,2,...,r{\}}^{\mathbb{N}}\circlearrowright$ that are not of algebraic type. Our first goal is to determine conditions that result…