Computation of Topological Entropy via $\varphi$-expansion, an Inverse Problem for the Dynamical Systems $\beta x+\alpha \mathrm{mod}1$

Bastien Faller, Charles-Edouard Pfister

We give an algorithm, based on the $\varphi$-expansion of Parry, in order to compute the topological entropy of a class of shift spaces. The idea is the solve an inverse problem for the…