Flexibility versus genericity of phase diagrams of perturbed continuous maps on the Cantor set

Hugo Marsan, Mathieu Sablik

Consider the dynamical system constitued by a continuous function $F:{\mathcal{A}}^{\mathbb{N}}\to {\mathcal{A}}^{\mathbb{N}}$ where $\mathcal{A}$ is a finite alphabet. The perturbed counte…