Computation of Topological Entropy via φ - expansion , an Inverse Problem for the Dynamical Systems
نویسنده
چکیده
We give an algorithm, based on the φ-expansion of Parry, in order to compute the topological entropy of a class of shift spaces. The idea is to solve an inverse problem for the dynamical systems βx + α mod 1. The first part is an exposition of the φ-expansion applied to piecewise monotone dynamical systems. We formulate for the validity of the φ-expansion, necessary and sufficient conditions, which are different from those in Parry’s paper [P2]. AMS classification scheme numbers: 37E05, 37B10, 11B34, 37B40 Submitted to: Nonlinearity Computation of topological entropy 2
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