Estimation of the Kolmogorov entropy in the generalized number system

Abstract. We study the dynamical properties of the complex number systems. A map is introduced on the transition graph by analogy of statistical physics systems. We gain an estimation of the Kolmogorov entropy by the Grassberger–Procaccia algorithm for a finite approximation of \(B_\gamma\).

Key words and phrases. Kolmogorov entropy, generalized number system.